The flux from the 600 K object is approximately 16 times larger than the flux from the 300 K object.
According to the Stefan-Boltzmann law, the flux emitted by a blackbody is proportional to the fourth power of its absolute temperature. This means that if we double the temperature of a blackbody, its flux will increase by a factor of 2 to the fourth power, or 16. In this case, the 600 K object is twice as hot as the 300 K object, so its flux will be approximately 16 times larger.
To calculate the exact ratio of the fluxes, we can use the equation F = σT⁴, where F is the flux, σ is the Stefan-Boltzmann constant (5.67 x 10⁻⁸ W/m²K⁴), and T is the absolute temperature in Kelvin. Plugging in the temperatures of 300 K and 600 K, we get:
F₁ = σ(300 K)⁴ = 460.8 W/m²
F₂ = σ(600 K)⁴ = 7372.8 W/m²
The ratio of F₂ to F₁ is approximately 16.
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if the moment of interia is 6.0 kg-m2 . determine the torque applied for the first two seconds. to the nearest 0.01 n-m
If the moment of interia is 6.0 kg-m2 . 1.50 N-m the torque applied for the first two seconds.
As per the question statement, the moment of inertia is 6.0 kg-m².
Hence, to determine the torque applied for the first two seconds, we must know the angular acceleration.
Therefore, the angular acceleration is given by:
α=τ/I
Where α is the angular acceleration, τ is the torque, and I is the moment of inertia.
Substituting the given values, we get:
α=τ/I
⇒αI=τ
⇒τ=αI
The moment of inertia I is given to be 6.0 kg-m².
Further, the torque can be determined by calculating the angular acceleration α.
However, the angular acceleration is not provided in the question statement. Hence, we need to make some assumptions to determine α.
Let us assume that the angular acceleration is uniform i.e., constant.
Also, we assume that the initial angular velocity is zero.
Using these assumptions, we can calculate the angular acceleration as:
α=2θ/[tex]t^2[/tex]
Where θ is the angular displacement and t is the time interval.
Since the question statement does not provide the value of θ,
let us assume that the object has rotated by 90 degrees in the first 2 seconds.
Therefore, θ = 90° = π/2 radian.
Substituting the given values, we get:
α=2θ/[tex]t^2[/tex]
α=2π/[tex]2^2[/tex] =π/4\,rad/[tex]s^2[/tex]
Therefore, the angular acceleration α is π/4 rad/s².
Substituting this value along with the given moment of inertia I, we get:
τ=αI
τ=(π/4) x 6.0
τ=1.50\,N-m
Therefore, the torque applied for the first two seconds is 1.50 N-m, rounded off to two decimal places.
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which electromagnetic wave has the highest energy photons? responses light that appears green light that appears green x-rays x-rays microwaves microwaves ultraviolet waves
The electromagnetic wave that has the highest energy photons is X-rays.
Photons are energy quanta that make up electromagnetic radiation. They are released when atoms move from high energy states to lower energy states.
Photons come in a variety of wavelengths and energies, with longer wavelengths being less energetic than shorter wavelengths.
Electromagnetic waves are composed of electric and magnetic fields that oscillate perpendicularly to one another as they travel through space. They are transverse waves, which means that their oscillations are perpendicular to the direction of motion.
X-rays are a type of electromagnetic radiation with a high energy level. They have a much shorter wavelength than visible light, and their photons have much more energy than those in visible light.
X-rays can be produced in a variety of ways, including by bombarding a target with high-speed electrons, by nuclear decay, or by synchrotron radiation.
X-rays are widely used in medical imaging, such as radiography and CT scans, as well as in material analysis and crystallography.
However, X-rays can be harmful to living organisms at high doses because they can ionize atoms and cause cellular damage.
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in one to two sentences describe a setup of pith balls that have negative charges and are hanging from the same point
A setup of pith balls that have negative charges and are hanging from the same point would consist of two or more small lightweight balls made of a porous plant material.
How do we describe the pith balls?A pith ball is a small, lightweight ball made of a porous plant material called pith, typically from a plant stem, that is used in electrostatics experiments to demonstrate the principles of electrostatic force and charge.
For the setup of pith balls that have negative charges and are hanging from the same point would consist of two or more small lightweight balls made of a porous plant material, each carrying a negative charge, suspended from a common point using thin strings or threads. The balls would repel each other due to their like charges and hang at an angle away from each other.
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in the circuit below the battery maintains a constant potential difference between its terminals, points 1 and 2. how do the brightness of the three bulbs compare to eacho other?
The brightness of the three bulbs compared to each other is bulb A is brighter than B and C which have the same brightness.
According to Ohm's law, the current passing through a conductor is directly proportional to the potential difference applied across its ends and inversely proportional to the resistance of the conductor. So, the bulb with the least resistance will draw more current and shine brighter as compared to the other two bulbs. Thus, the bulb with the least resistance will be the brightest.
Besides, it is mentioned that the battery maintains a constant potential difference between its terminals. It means that the internal resistance of the battery is negligible. Therefore, the voltage across the three bulbs will be the same, and the current passing through each bulb will depend on the resistance of the individual bulbs.
In the given circuit, the brightness of the three bulbs will be different from one another. Bulb А is brighter thаn B аnd C which hаve the sаme brightness. This is because the correct thru А is lаrger becаuse its pаrаllel pаth hаs less resistаnce thаn the B аnd C pаth.
Your question is incomplete, but most probably your figure can be seen in the Attachment.
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a 675-n marine in basic training climbs a 11.5-m vertical rope at a constant speed in 7.50 s. what is his power output?
The power output of the marine during the vertical climb of 11.5 m at a constant speed in 7.50 s is 1024.4 W.
Power is the rate of doing work or the rate of transfer of energy in a unit time. Power is given by the expression:
P = W/t
where, P is power measured in watts (W), W is work done measured in joules (J), t is time taken measured in seconds (s).
The formula for work done is given by the expression:
W = F × d
where, F is the force applied measured in newtons (N), d is the distance traveled measured in meters (m)
The power of the marine in basic training during the climb is given by the expression:
P = W/t
P = F × d/t
From the question, the force (F) acting on the marine is equal to his weight (W). The weight (W) of the marine is given by the expression:
W = mg
where, m is the mass of the marine measured in kilograms (kg), g is the acceleration due to gravity which is 9.8 m/s²
On substituting the values given:
W = mg
W = 675 N (given)g = 9.8 m/s²
Hence, W = 675 × 9.8 = 6615 J
The distance (d) traveled by the marine is given as 11.5 m. The time (t) taken to travel the distance is given as 7.50 s.
Substituting the values given:
P = F × d/t
P = W/t
P = (mg × d)/t
P = (6615 × 11.5)/7.50P = 1024.4 W
Therefore, the power output of the marine during the vertical climb of 11.5 m at a constant speed in 7.50 s is 1024.4 W.
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assume that a 4.00 kg pendulum bob is hanging from 9.01 m long cable. the cable is attached to a hook in the ceiling 10 m up from the floor. if a person releases the bob, from the small angle approximation, how long will it take the bob to swing back to him? answer in seconds (s).
It will take approximately 3.01 seconds for the pendulum bob to swing back to the person.
To answer this question, we need to find the period of the pendulum and then calculate the time it takes for the pendulum to swing back to the person.
Step 1: Calculate the period of the pendulum
The formula for the period of a simple pendulum is given by:
T = 2π√(L/g)
where T is the period.
L is the length of the cable (9.01 m), and g is the acceleration due to gravity (approximately 9.81 m/s²).
Step 2: Plug in the values and solve for T
T = 2π√(9.01 m/9.81 m/s²)
T ≈ 2π√(0.918 s²)
T ≈ 2π(0.958 s)
T ≈ 6.02 s
The period of the pendulum is approximately 6.02 seconds.
Step 3: Calculate the time it takes for the bob to swing back to the person
Since the period represents the time it takes for the pendulum to complete one full oscillation, and the person releases the bob at its highest point, the time it takes for the bob to swing back to the person is half of the period.
Therefore, we can calculate this time as follows:
Time to swing back = T/2
Time to swing back ≈ 6.02 s/2
Time to swing back ≈ 3.01 s.
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Consider a spring, with spring constant k, one end of
which is attached to a wall (Figure 1)The spring is
initially unstretched, with the unconstrained end of the
spring at position 2
0
The work done by the spring as it is compressed from x = 0 to x = L is [tex]-1/2kL^2[/tex].
To find the work done by the spring as it is compressed, we need to integrate the force applied by the spring with respect to the displacement. The force applied by the spring is given by Hooke's law as F = -kx, where x is the displacement from the equilibrium position.
Integrating this expression with respect to x from x = 0 to x = L, we get:
W = ∫F dx from x = 0 to x = L
W = ∫-kx dx from x = 0 to x = L
W = [tex]-1/2kx^2[/tex] from x = 0 to x = L
W = [tex]-1/2kL^2[/tex] + [tex]1/2k(0)^2[/tex]
W = [tex]-1/2kL^2[/tex]
Therefore, the work done by the spring as it is compressed from x = 0 to x = L is [tex]-1/2kL^2[/tex].
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A block of mass 4.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 560 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39. Part A: The block, starting from rest, slides down the ramp a distance 76 cm before hitting the spring. How far in centimeters, is the spring compressed as the block comes to momentary rest? Δx = ___ ?
Part B: After the block comes to rest the spring pushes the block back up the ramp. how fast in meters per second is the block moving right after it comes off the spring?
Part C: What is the change of the gravetational potential energy in joules between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?
The spring compressed as the block comes to momentary rest is Δx = 34.5 Cm. The block moving right after it comes off the spring is 3.057 m/s. The change of the gravetational potential energy in joules is -33.4 J.
(a) potential energy gets Converted to Spring energy-
mg(nt 0.16m) Sin 8-1/2x2
= 4.9 x 9.8 (n + 0.76) Sin 39° = 1/2 x 560 x [tex]x^2[/tex]
= 48.02x + 36.4952 x 0.6293=280x^2
= 30.218986x + 22.966 = 280x^2
= 280x^2 -30.218 x - 22.966 =0
= x = 0.345m
= x = 34.5 Cm
(b) Spring energy becomes PE and KE
1/2kn^2 = myx Sin[tex]\theta[/tex] + 1/2 mv^2
1/2 x 560 x (0.345)^2 = 4.9 x 9.8 x 0.345 x Sin 39° + 1/2x4.9 x V2
33.327 = 10.42588 +245 V^2
33.327 - 10.42588 = 245V^2
22.90112= 2.45 v^2
V^2=9.347393918
V=3.057 m/s
(c) Gravitational potential eneepy
change in [tex]G_{PE}[/tex] = mgΔh
=4.9 x 9.8 x -(0.345 + 0.76) Sin [tex]39^o[/tex]
= -33.39 J
= -33.4 J
Potential energy is a form of energy that is stored within an object and can be released when the object undergoes a change in position or configuration. There are different types of potential energy, such as gravitational potential energy, elastic potential energy, and electric potential energy.
Gravitational potential energy is the energy an object possesses due to its position in a gravitational field, such as a ball held up high in the air. Electric potential energy is the energy stored in a charged object due to its position in an electric field. The amount of potential energy an object has depends on various factors, such as its mass, height, distance, and the strength of the force field it is in.
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11. A vacuum photocell connected to a microammeter is illuminated with light of varying wavelength.
a) Explain why:
i.
A photoelectric current is registered on the microammeter when light of a certain
wavelength is incident on the photocell.
ii. The current is found to increase with the light intensity is increased.
b) When the incident light wavelength is increased, the photoelectric current falls to zero. decre-
Explain why:
ased.
i. The current falls to zero.
ii.
The current would still be zero if the light wavelength is kept the same and the
intensity is increased.
Answer:
a)
i. A photoelectric current is registered on the microammeter when light of a certain wavelength is incident on the photocell because the energy of the incident photons of the light exceeds the work function of the metal surface of the photocell. This causes the photoelectrons to be emitted from the metal surface and a current to be registered on the microammeter.
ii. The current is found to increase with the light intensity is increased because as the intensity of the incident light increases, the number of photons incident on the metal surface also increases. This increases the number of photoelectrons emitted per unit time, resulting in an increase in the photoelectric current.
b)
i. When the incident light wavelength is increased, the photoelectric current falls to zero because as the wavelength of the incident light is increased, the energy of the incident photons decreases. When the energy of the incident photons becomes less than the work function of the metal surface, no photoelectrons are emitted and hence no current is registered on the microammeter.
ii. The current would still be zero if the light wavelength is kept the same and the intensity is increased because the energy of the incident photons is still less than the work function of the metal surface. Increasing the intensity of the incident light only increases the number of photons incident on the metal surface, but does not increase the energy of the individual photons. Hence, no photoelectrons are emitted and no current is registered on the microammeter.
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if an object rolls without slipping down an inclined plane, what is true about static friction force? (select all that apply.) it adds to the translational acceleration of the object. it provides the torque to cause the angular acceleration. it must always be equal to the maximum static friction. it directs energy from the system into thermal energy. it goes against gravity to reduce the acceleration caused by gravity.
When an object rolls without slipping down an inclined plane, the true statement(s) about static friction force are: It provides the torque to cause the angular acceleration and it goes against gravity to reduce the acceleration caused by gravity. The correct answer is B and E.
What is friction?Friction is the force that opposes relative motion between surfaces in contact. It is also called a contact force because it operates between the surfaces in contact when they're in motion or when a force tries to move them relative to one another.
What is an inclined plane?An inclined plane is a simple machine that consists of a sloping surface that connects a lower point to a higher point. It is one of the six classical simple machines that is used to reduce the effort needed to raise a weight to a certain height.
What is rolling without slipping?Rolling without slipping is a combination of translational motion (movement in a straight line) and rotational motion (movement around an axis) without any slipping occurring between the surfaces in contact. A wheel or any other circular object rolls without slipping when its forward motion is the same as its rotational motion.
What is static friction?Static friction is the force that keeps an object at rest or in a state of uniform motion on a surface when a force is applied on it. When two surfaces are in contact, static friction is the force required to overcome the sticking between them that resists motion.
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A highwau is to be built between two towns,one of which lies 32. 0km south and 72. 0km west of the other. What is the shortest length of highway that can be built between the two towns, and at which angle would this highway be directed with respect to due west
This route would indeed be pointed toward straight west at such an angle of 25.92 degrees. It applies the Pythagorean theorem, which says that within a right triangle, the hypotenuse's square root, which is the largest of the three, equals the product of the squares of the other sides.
Given:
[tex]D1=32km[/tex] for Displacement 1 South
[tex]D2=72km[/tex] West for displacement two.
Inferred from the distance formula seems to be the shortest length.
D=80.06 m
that would be in that direction This route would've been pointed toward straight west at a 25.92 degree angle.
The Following Formula, or a [tex]2 + b 2 = c 2,[/tex] is really the source of the Distance Equation, where c seems to be the hypotenuse, or longest side, of a triangular shape, and a and b represent its other shorter ends of the spectrum (known as the legs of a right triangle).
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What type of climate is experienced by cities that are close to large bodies of water as compared to inland cities at the same latitude?
a
Bigger changes in temperature and lower levels of precipitation
b
Hotter temperatures and a bigger range of different types of precipitation
c
Milder temperatures and higher levels of precipitation
d
Much lower temperatures and lower levels of precipitation
Answer:
The proper answer is (Large water bodies change temperature more slowly than land masses. Land masses close to large bodies of water, particularly oceans, experience temperature changes that are slower and less pronounced than those experienced by land masses farther away. Furthermore, warm water accelerates evaporation, which leads to precipitation.)
Explanation:
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an am radio uses an lc circuit as a resonator to pick up radio signals between about 540 khz and 1600 khz. if the circuit uses an inductor of 10mh, and an adjustable capacitor, what range of capacitance must the capacitor cover? in other words, what is the lowest required capacitance, and the highest required capacitance so that we can cover the en;re range of carrier frequencies on the am dial?
The required capacitance of the adjustable capacitor so that we can cover the entire range of carrier frequencies on the AM dial to pick up radio signals between about 540 kHz and 1600 kHz is [tex]C=8.68\times 10^{-12} F[/tex] and [tex]C = 9.8 \times 10^{-13} F[/tex] respectively.
The resonance frequency of an LC circuit is given by the following equation;
[tex]1/(2\pi \sqrt{LC}) = f[/tex]
Where f is the frequency
L is the inductance of the circuit.
C is the capacitance of the circuit.
Now, we need to find out the capacitance range that can cover the entire range of AM frequencies between 540 kHz to 1600 kHz for a 10mH inductor.
By rearranging the above formula and putting the values, we get the following:
At 540 kHz;
[tex]C} = 1 / (4\pi^2 \times 0.01 H \times (540,000 Hz)^2)[/tex]
[tex]C=8.68\times 10^{-12} F[/tex]
At 1600 kHz;
[tex]C = 1 / (4\pi^2 \times 0.01 H \times (1,600,000 Hz)^2)[/tex]
[tex]C = 9.8 \times 10^{-13} F[/tex]
Therefore, the required capacitance of the adjustable capacitor so that we can cover the entire range of carrier frequencies on the AM dial when an AM radio uses an LC circuit as a resonator to pick up radio signals between about 540 kHz and 1600 kHz is [tex]C=8.68\times 10^{-12} F[/tex] and [tex]C = 9.8 \times 10^{-13} F[/tex] respectively.
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the speed of sound in water at a temperature of 25°c is 1500 m/s. what is the wavelength of a 300 hz sound wave traveling through water at a temperature of 25°c?
The wavelength of a 300 Hz sound wave traveling through water at a temperature of 25°C is 5 meters.
Given that the speed of sound in water at a temperature of 25°C is 1500 m/s and the frequency of the sound wave is 300 Hz, to find the wavelength of a sound wave traveling through water at a temperature of 25°C, we have to use the following formula.
The wavelength of a sound wave can be calculated using the formula:
wavelength = speed of sound / frequency
Here, the frequency of the sound wave is given as 300 Hz.
Substituting the given values in the formula, we get:
wavelength = 1500 m/s / 300 Hz
wavelength = 5 meters
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tutoring company isolated neutrons outside the nucleus are unstable. after a typical lifetime of about 15 minutes, they decay into a proton and another particle called a neutrino. consider a neutron that lives 900 s when at rest relative to an observer. how fast is the neutron moving relative to an observer who measures its life span to be 2065 s?
According to time dilation, the elapsed time between two events is different for observers in relative motion to each other. The formula for time dilation is given by:
Δt' = Δt / sqrt(1 - v^2/c^2)
where Δt is the time interval measured by the observer in the rest frame, Δt' is the time interval measured by the observer in the moving frame, v is the relative velocity between the two frames, and c is the speed of light.
In this problem, the neutron is at rest relative to the first observer and its lifetime is measured to be 900 s. The neutron is moving relative to the second observer, and its lifetime is measured to be 2065 s. We want to find the velocity v of the neutron relative to the second observer.
We can use the time dilation formula twice, once for each observer:
Δt' = Δt / sqrt(1 - v^2/c^2)
For the first observer (rest frame of the neutron), Δt = 900 s and Δt' = 2065 s (measured by the second observer):
2065 = 900 / sqrt(1 - v^2/c^2)
Simplifying and rearranging:
(1 - v^2/c^2) = (900/2065)^2
1 - v^2/c^2 = 0.155
v^2/c^2 = 0.845
v/c = sqrt(0.845)
v = 0.919c
Therefore, the neutron is moving at a speed of 0.919 times the speed of light relative to the second observer.
When two equal forces act on an object in opposite directions, they are known as:a. equivalent forcesb. unbalanced frocesc. balanced forcesd. parallel forced
When two equal forces act on an object in opposite directions, they are known as balanced forces.
The balanced force is a system of forces that acts on an object without causing any change in motion. Balanced forces are those that do not change an object's speed or direction. If the forces acting on an object are balanced, the net force will be zero. When the net force is zero, the object is stationary or moving with a constant velocity.
Unbalanced forces are those that produce a change in an object's motion. Unbalanced forces are those that cause an object to speed up, slow down, or change direction. An object will only move if the net force acting on it is non-zero.
Two or more forces that are equal in size but opposite in direction are known as equivalent forces. When two or more equivalent forces are acting on an object, they cancel each other out, and the net force is zero.
Parallel forces are forces acting on an object in the same direction. When two or more parallel forces are acting on an object, they combine to form a resultant force that is equal to the sum of the individual forces. The direction of the resultant force is the same as that of the individual forces.
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upon what would you base your experiment in order to determine the sign of the charges in a current?
To determine the sign of charges in a current, an experiment can be conducted using a known reference conductor and a voltmeter.
First, connect the reference conductor to a voltage source and measure the voltage with the voltmeter. Then, connect the conductor in question to the same voltage source and measure the voltage again. If the voltage reading is higher for the conductor in question, then the charges are of opposite signs, with the reference conductor being positively charged and the other conductor being negatively charged. Conversely, if the voltage reading is lower for the conductor in question, then the charges are of the same sign, with both conductors being either positively or negatively charged.
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fastt answer please
concave mirror is used to make solar stove why?
Explanation:
The reason behind using this mirror:
Concave mirrors reflect light falling on it to a single focal point. So the concave mirror used in solar cookers absorbs all the incident sunlight and reflects it to a single focal point.
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in a double-slit experiment, the third-order maximum for light of wavelength 500 nm is located 12 mm from the central bright spot on a screen 1.3 m from the slits. light of wavelength 650 nm is then projected through the same slits. how far from the central bright spot will the second-order maximum of this light be located?
The second-order maximum for light of wavelength 650 nm will be located approximately 15.6 mm from the central bright spot on the same screen.
Wavelength of light for the third-order maximum = 500 nm
Distance of third-order maximum from the central bright spot = 12 mm
Distance of screen from the slits = 1.3 m
Wavelength of light for the second-order maximum = 650 nm
Using the equation d sin θ = mλ, where d is the distance between the slits, θ is the angle between the line connecting the slits and the screen and the line connecting the bright spot and the central bright spot, m is the order of the bright spot, and λ is the wavelength of the light.
For the third-order maximum with 500 nm light:
d sin θ = mλ
d sin θ = 3 * 500 nm
d sin θ = 1500 nm
sin θ = 1500 nm / d
Given, distance from the central bright spot to the third-order maximum = 12 mm
Given, distance of screen from the slits = 1.3 m
Thus, tan θ = (12 mm) / (1.3 m)
θ = 0.013 radians
sin θ = 0.013
sin θ = 1500 nm / d
d = 1500 nm / sin θ
d = 1500 nm / 0.013
d = 115,384.6 nm
d = 115.4 µm
For the second-order maximum with 650 nm light:
d sin θ = mλ
d sin θ = 2 * 650 nm
d sin θ = 1300 nm
sin θ = 1300 nm / d
Using the value of θ calculated for the third-order maximum:
sin θ = 0.013
sin θ = 1300 nm / d
d = 1300 nm / sin θ
d = 1300 nm / 0.013
d = 100,000 nm
d = 100 µm
Thus, the distance from the central bright spot to the second-order maximum for light with wavelength 650 nm is approximately 100 µm, or 15.6 mm from the central bright spot on the screen.
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(a) What magnitude force is required to give a ¬helicopter of mass 2M an acceleration of 0.10 g upward?
(b) What work is done by this force as the helicopter moves a distance h/2 upward?
(a) The magnitude of force required to give a helicopter of mass 2M an acceleration of 0.10 g upward is 1.962M N.
(b) The work done by this force as the helicopter moves a distance h/2 upward is 0.981M h Joules.
(a) To find the force required to give the helicopter an upward acceleration of 0.10 g, we can use the following equation:
Force (F) = Mass (m) × Acceleration (a)
The acceleration due to gravity (g) is approximately 9.81 m/s². Therefore, 0.10 g is equal to 0.10 × 9.81 m/s², which is 0.981 m/s².
The helicopter's mass is given as 2M. So, we can plug the values into the equation:
F = 2M × 0.981 m/s²
F = 1.962M N (Newtons)
So, the magnitude of the force required is 1.962M N.
(b) To find the work done by this force as the helicopter moves a distance of h/2 upward, we use the equation:
Work (W) = Force (F) × Distance (d) × cos(θ)
Since the force is acting vertically upward and the helicopter is moving in the same direction, the angle (θ) between the force and the distance is 0°, and the cosine of 0° is 1.
The force (F) is 1.962M N and the distance (d) is h/2. Therefore:
W = 1.962M N × (h/2) × 1
W = 0.981Mh J (Joules)
The work done by this force as the helicopter moves a distance h/2 upward is 0.981Mh Joules.
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you must exert a force of 5.5 n on a book to slide it across a table. you move it 0.50m. how much work have you done
The work done to slide the book across the table is 2.75 joules.
The work done is equal to the force applied multiplied by the distance moved in the direction of the force. In this case, the force applied to slide the book across the table is 5.5 N, and the distance moved is 0.50 meters.
Using the formula for work, we can calculate the work done as:
Work = Force x Distance
Work = 5.5 N x 0.50 m
Work = 2.75 J
Therefore, this means that the energy required to move the book across the table was 2.75 joules, and this energy was transferred from the person sliding the book to the book itself.
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What is the total mass in grams of 0.75 mole of SO2?a. 16 gb. 24 gc. 32 gd. 48 g
To calculate the total mass of 0.75 moles of SO2 is D. 48g .we need to use the molecular mass of SO2.
What is molecular mass?The sum of the atomic masses of all the atoms present in a molecule is known as its molecular mass. The molecular mass of SO2 is calculated by adding the atomic masses of sulfur and oxygen. Sulfur has an atomic mass of 32 g/mol, and oxygen has an atomic mass of 16 g/mol. Therefore, the molecular mass of SO2 can be calculated as follows:1 sulfur atom + 2 oxygen atoms = (1 × 32 g/mol) + (2 × 16 g/mol) = 32 g/mol + 32 g/mol = 64 g/mol Now that we have calculated the molecular mass of SO2, we can use the following formula to calculate the total mass of 0.75 moles of SO2:Total mass of SO2 = Number of moles × Molecular mass Total mass of SO2 = 0.75 mol × 64 g/mol Total mass of SO2 = 48 g Therefore, the total mass of 0.75 moles of SO2 is 48 g Therefore the correct option is D
The complete question is :
What is the total mass in grams of 0.75 mole of SO2?
a. 16 g
b. 24 g
c. 32 g
d. 48 g
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the paradox is this: if a horse pulls on a cart, and the cart pulls back on the horse with an equal magnitude force, how can either possibly begin to move?
The paradox is this: if a horse pulls on a cart, and the cart pulls back on the horse with an equal magnitude force, either possibly begin to move because the force balance.
The paradox mentioned here is resolved through the consideration of motion's relation to the interaction between objects. In order to move an object, force is required. When a force is applied to an object, it may either accelerate or decelerate. When a horse pulls a cart, the horse pulls with a force that is greater than the force the cart pulls back with, allowing the cart to move forward. However, the cart also pulls back on the horse with the same magnitude force, this force does not cause the horse to accelerate in the opposite direction. Instead, it is simply used to oppose the motion of the horse.
Therefore, both the cart and the horse can begin to move despite the force balance. The force balance is considered to be resolved in this situation since the force that the horse applies to the cart and the force that the cart applies back to the horse are not equal in nature, even though they are equal in magnitude.
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a) Megan was doing time-trials on her bike around a 400 metre horizontal track.
She took seconds to travel 400m.
1.What was her average speed? Give the unit.
2.Compare the forward force on the bike with the backwards force on the bike when Megan was travelling at a constant speed
B) Megan then crouched down over on the bike with the backward force on the bike when Megan was travelling at a constant speed.
1.Compare the forward and backward forces on Megan and her bike now.
2.Explain your answer.
A
1. Megan's average speed is (400/seconds) m/s
The unit for average speed is meters per second (m/s).
2.
When Megan is traveling at a constant speed, the forward force on the bike is equal in magnitude and opposite in direction to the backward force on the bike according to Newton's Third Law of Motion.
B)
1.When Megan crouches down over the bike while traveling at a constant speed, the forward force on the bike remains the same, but the backward force on the bike decreases.
2. The explanation can be seen as the forward force on Megan and her bike remains the same, as Megan's pedaling action is the same as before.
The backward force on Megan and her bike decreases because of the reduction in surface area facing the direction of motion resulting in a net forward force on Megan and her bike, which increases their acceleration and speed.
What is to Newton's Third Law of Motion?Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.
In the case of Megan, the forward force on the bike is generated by the pedaling action of Megan, while the backward force on the bike is due to air resistance and frictional forces acting against the motion of the bike.
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If the intensity level by 10 identical engines in a garage is 100 dB, what is the intensity level generated by each one of these engines? A) 50 dB B) 90 dB C) 44 dB D) 20 dB E) 10 dB
If the intensity level by 10 identical engines in a garage is 100 dB, the intensity level generated by each one of these engines is 90 dB. The correct answer is (b).
Here is a step-by-step explanation:
1. The intensity level (in decibels) of a combined sound is determined using the formula:Combined dB = 10 * log10(sum of the intensities of individual sounds).2. In this case, we have 10 identical engines producing the same intensity level, and their combined intensity level is 100 dB. Let x represent the intensity level of each engine. We can write the equation as:100 dB = 10 * log10(10 * intensity of one engine)
3. To find the intensity of one engine, we need to isolate x in the equation. First, divide both sides by 10:
10 = log10(10 * intensity of one engine)
4. Now, we can apply the inverse of the logarithm function, which is the power of 10 (10^x), to both sides:
10^10 = 10 * intensity of one engine
5. Divide both sides by 10:
10^9 = intensity of one engine
6. Finally, we need to convert this intensity back to decibels using the formula: x dB = 10 * log10(10^9)7. Apply the logarithm rule: x dB = 10 * 98. Calculate the value of x: x = 90 dB.So, the intensity level generated by each one of these engines is 90 dB.
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when the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop? express your answer to two significant figures and include the appropriate units.
The magnetic field (B) and the area of the loop (A) are not provided in the student question, we cannot provide a specific value for the magnetic flux.
To find the magnetic flux through a loop when its plane is perpendicular to the magnetic field lines, we can use the following formula:
Magnetic Flux (Φ) = Magnetic Field (B) × Area of the loop (A) × cos(θ)
where θ is the angle between the magnetic field lines and the normal to the plane of the loop. In this case, since the plane of the loop is perpendicular to the field lines,
θ = 0 degrees.
Step 1: Calculate the cosine of the angle.
cos(0) = 1
Step 2: Find the area of the loop (A). This would depend on the shape and dimensions of the loop which are not provided in the student question.
Let's assume the area is already known.
Step 3: Determine the magnetic field (B). This value is also not provided in the student question but would be necessary to calculate the magnetic flux.
Step 4: Calculate the magnetic flux (Φ) using the formula:
Φ = B × A × cos(θ)
Step 5: Express the result to two significant figures and include the appropriate units (webers, Wb).
However, you can follow these steps to calculate the magnetic flux once you have the necessary information.
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two charges repel each other with a force of 10 -6 n when they are 10 cm apart. when they are brought closer together until they are 2 cm apart, the force between them becomes:
When the charges are brought closer together until they are 2 cm apart, the force between them becomes approximately 2.5 × [tex]10^{-4}[/tex] N.
To determine the force between two charges when they are brought closer together from 10 cm to 2 cm apart, we can use the formula for Coulomb's Law:
F = k × |[tex]q_1 \times q_2[/tex]| / r²
where F is the force between the charges,
k is Coulomb's constant (8.99 × [tex]10^9[/tex] N·m²/C²),
[tex]q_1[/tex] and [tex]q_2[/tex] are the magnitudes of the charges, and r is the distance between the charges.
Since we know the initial force (F₁) and initial distance (r₁), we can find the product of the charges ([tex]q_1 \times q_2[/tex]) using the formula:
F₁ = k × |[tex]q_1 \times q_2[/tex]| / r₁²
Given F₁ = [tex]10^{-6}[/tex] N and r₁ = 0.1 m,
we can solve for |[tex]q_1 \times q_2[/tex]|:
[tex]10^{-6}[/tex] = 8.99 × [tex]10^9[/tex] * |[tex]q_1 \times q_2[/tex]| / 0.1²
|[tex]q_1 \times q_2[/tex]| = ([tex]10^{-6}[/tex] * 0.1²) / 8.99 ×[tex]10^9[/tex]
|[tex]q_1 \times q_2[/tex]| ≈ 1.11 × [tex]10^{-11}[/tex] C²
Now that we have the product of the charges, we can find the new force (F₂) when the charges are 2 cm (0.02 m) apart (r₂):
F₂ = k × |[tex]q_1 \times q_2[/tex]| / r₂²
F₂ = 8.99 × [tex]10^9[/tex] × 1.11 × [tex]10^{-11}[/tex]/ 0.02²
F₂ ≈ 2.5 × [tex]10^{-4}[/tex] N
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why does the sun appear brighter than all of the other stars?
The Sun appears brighter than all the other stars because it is the closest star to Earth and also because of its relatively large size and brightness.
While the Sun is an average-sized star, it is much closer to Earth than any other star, with an average distance of 93 million miles. This proximity means that the Sun's light reaches Earth with much greater intensity than the light from more distant stars, making it appear much brighter. Additionally, the Sun's surface temperature of around 5,500 degrees Celsius makes it much brighter than most other stars, which have much cooler surface temperatures.
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how can nutons first law apply to football
Answer:
As newton's 1st Law states that " A body tends to be at rest or in motion until an external force is applied "
Explanation:
so football will remains at rest until you kick it or stop it with your hands
why is the momentum conserved in inelastic collisions
explain why the total momentum is always conserved
Answer:
Momentum is the product of mass of a body and its velocity.
Initially before collision and after collision, velocity changes but mass is a constant factor. Therefore, only one term changes by a constant change hence momentum gained initially, and that gained finally is equal