Answer:
KE = 110000 J
KE = 0.11 MJ
KE = 104.1794917935 [tex]BTU_{mean}[/tex]
KE = 26252.857981585 [tex]cal_{mean}[/tex]
The kinetic energy of a moving body can be calculated using its mass and velocity. The kinetic energy of the horse of 550 kg travelling at 20 m/s is 11000 J.
What is kinetic energy ?Kinetic energy of an object is generated by virtue of its motion. When the object starts moving its potential energy starts to convert into kinetic energy.
The kinetic energy of an object is related to its mass and velocity as follows:
Ke = 1/2 mv²
Hence, kinetic energy is directly proportional to the mass and velocity.
Given mass of the horse m = 550 kg
velocity = 20 m/s
then, Ke = 1/2 550 kg × (20 m/s)²
Ke = 11000 J.
Therefore, the kinetic energy of the horse is 11000 J.
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A 50g
block is attached to a
horizontal spring with spring
constant k = 3600 N/m
The spring is compressed by 5 cm,
as shown in the figure.
When the spring is released, will the
block be able to cross the top of the hill with
h =10m?
The spring can not cross the hill.
What is the elastic potential energy?Elastic potential energy is the potential energy stored in an object when it is deformed, or stretched or compressed, by a force. When an elastic object is stretched or compressed, it has the potential to return to its original shape and size, and the work done to stretch or compress it is stored as elastic potential energy.
We know that;
E = 1/2Ke^2
E = 0.5 * 3600 * (5 * 10^-2)^2
E = 4.5 J
Now the GPE of the hill is;
mgh = 50 * 10^-3 * 10 * 9.8
= 4.9 J
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I need help with this one.
The correctly written chemical equation that demonstrates the conservation of mass is:
[tex]H_{2} + O_{2} - > H_{2}O[/tex]
What is conservation of mass?The law of conservation of mass is a fundamental principle in chemistry and physics that states that mass cannot be created or destroyed in a chemical reaction or a physical process. In other words, the total mass of the reactants must be equal to the total mass of the products in any chemical reaction. This means that the number of atoms of each element present in the reactants must be equal to the number of atoms of the same elements in the products.
[tex]H_{2} + O_{2} - > H_{2}O[/tex]
This equation shows the reaction between hydrogen gas and oxygen gas to produce water vapor. The equation is balanced, which means that the number of atoms of each element on both sides of the equation is equal, and therefore, the law of conservation of mass is upheld.
The law of conservation of mass is important in chemistry because it allows chemists to predict the outcome of a reaction and to calculate the amount of reactants needed to produce a certain amount of product. It also ensures that the total amount of matter in the universe remains constant, which is a fundamental concept in modern physics.
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a puck moves 2.35 m/s in a -22° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction what is Δy
A puck moves at 2.35 m/s in a -22° angle.It is pushed for 0.215 seconds by a hockey stick, changing its velocity to 6.42 m/s in a 50.0° direction. The negative sign indicates that the puck has fallen below its initial height.
How to solve the given problem with the help of trigonometry?
To solve the problem, we need to use the equations of motion and trigonometry.
First, let's find the initial velocity components:
[tex]\mathrm V_{i,x} = v_i cos(\theta_i) = 2.35 cos(-22^\circ) \approx 2.216\text{ m/s}[/tex]
[tex]\mathrm V_{i,y} = v_i sin(\theta_i) = 2.35 sin(-22^\circ) \approx -0.891\text{ m/s}[/tex]
where [tex]v_i[/tex] is the initial velocity and [tex]\theta_i[/tex] is the initial angle in degrees.
Next, we need to find the final velocity components:
[tex]\mathrm V_{f,x} = v_f cos(\theta_f) = 6.42 cos(50^\circ) \approx 4.121\text{ m/s}[/tex]
[tex]\mathrm V_{f,y} = v_f sin(\theta_f) = 6.42 sin(50^\circ) \approx 4.936\text{ m/s}[/tex]
where [tex]v_f[/tex] is the final velocity and [tex]\theta_f[/tex] is the final angle in degrees.
The change in velocity components are:
[tex]\Mathrm\Delta V_x = V_{f,x} - V_{i,x} \approx 1.905\text{ m/s}[/tex]
[tex]$\Delta V_y = V_{f,y} - V_{i,y} \approx 5.827\text{ m/s}[/tex]
The time of the push is t = 0.215 s.
Using the equation of motion, we can find the change in position in the y-direction:
[tex]$\Delta y = V_{i,y} t + \frac{1}{2} a_y t^2[/tex]
where a_y is the acceleration in the y-direction.
Since the puck is in flight, the only force acting on it is gravity, which causes an acceleration of [tex]-9.8 m/s^2[/tex] in the y-direction.
Plugging in the values, we get:
[tex]\Delta y = (-0.891\text{ m/s})(0.215\text{ s}) + \frac{1}{2} (-9.8\text{ m/s}^2)(0.215\text{ s})^2 \approx -0.139\text{ m}[/tex]
Note that the negative sign indicates that the puck has fallen below its initial height.
Therefore, the change in position in the y-direction is approximately 0.139 m.
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Answer:
0.434
Explanation:
PLEASE HELP PHYSICS ASAP
Transverse wave: direction of propagation is perpendicular to direction of wave
A train is moving to the right. The force of air resistance and the surface friction from the tracks totals 259,800 N . In order for the train to keep moving at a constant velocity, how much forward force is the engine providing?
The engine is providing a forward force of 259,800 N to keep the train moving at a constant velocity.
What is forward force?
Forward force is the force applied in the direction of motion, which causes an object to move or maintain a constant velocity.
Constant velocity refers to the motion of an object moving in a straight line at a steady speed, without changing its direction. The velocity of the object is constant when its speed and direction remain unchanged over time, regardless of whether the object is moving or stationary.
Since the train is moving at a constant velocity, the net force acting on the train is zero. Therefore, the forward force provided by the engine must be equal in magnitude and opposite in direction to the force of air resistance and surface friction.
So, the magnitude of the forward force provided by the engine is:
Magnitude of forward force = Magnitude of force of air resistance and surface friction
Magnitude of forward force = 259,800 N
Therefore, the engine is providing a forward force of 259,800 N to keep the train moving at a constant velocity.
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State whether the following statements are true or false. Write the question number and T or F next to the number. For example, 4. 3. 1. T, if the answer for question 4. 3. 1 is true. 4. 3. 1 Magnetomotive force is the production of magnetic field by current in a conductor. (1) 4. 3. 2 25 mA is necessary for the coil with 4000 turns to produce 1000 A. T of mmf. (1) 4. 3. 3 When unlike poles, that is, south and north poles, are placed close together, an attraction force is produced by the magnetic fields. (1) 4. 3. 4 Magnetic lines of force never cross one another. (1) 4. 3. 5 When a magnetic field is moved past a stationery wire, there is relation motion. -1
The first two statements are false and the remaining three statements are true.
1. Magnetomotive force is the production of magnetic field by current in a conductor.
This statement is false. Magnetomotive force (MMF) is a measure of the strength of a magnetic field produced by a magnetic circuit, not by current in a conductor.
2. 25 mA is necessary for the coil with 4000 turns to produce 1000 A-T of MMF.
This statement is false. To produce 1000 A-T of MMF in a coil with 4000 turns, the current required would be:
MMF = N * I
1000 A-T = 4000 turns * I
I = 0.25 A or 250 mA
3. When unlike poles, that is, south and north poles, are placed close together, an attraction force is produced by the magnetic fields.
This statement is true. According to the laws of magnetism, opposite poles (north and south) attract each other, while like poles (north and north, or south and south) repel each other.
4. Magnetic lines of force never cross one another.
This statement is true. Magnetic lines of force (also known as magnetic field lines) are imaginary lines used to represent the direction and strength of a magnetic field. These lines are always continuous and form closed loops, never crossing one another.
5. When a magnetic field is moved past a stationary wire, there is relative motion.
This statement is true. According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electromotive force (EMF) in a nearby conductor. This EMF causes current to flow in the conductor, creating a voltage.
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A 3 kg fish is swimming at 1.5 m/s to the right. It swallows a 0.25kg
fish swimming to the left at 4.0 m/s. What is the velocity of the larger
immediately after lunch?
Show Your Work
Answer:
1.076 m/s
Explanation:
Given a 3.0 kg fish is swimming at 1.5 m/s to the right. it swallows a 0.25 kg fish swimming to the left at 4.0 m/s. what is the speed and direction of the larger fish immediately after lunch?
Mass of fish m1 = 3 kg
Velocity v1 = 1.5 m/s
Mass of small fish m2 = 0.25 kg
Velocity v2 = - 4 m/s (negative sign since the direction is opposite)
Therefore total mass of fish after swallowing will be M = 3 + 0.25 = 3.25 kg
Let the final velocity of fish be V
Now according to the law of conservation of momentum we have
So m1v1 + m2v2 = M x V
3 x 1.5 + 0.25 x – 4 = 3.25 x V
4.5 – 1 = 3.25 V
3.25 V = 3.5
Or V = 1.076 m/s
So speed of the fish will be 1.076 m/s
Explain the relationship between angle of plane vs elliptical shape. (The angle of
the plane is represented by the blue with the resulting elliptical shape cut out).
Explanation:
The angle of the plane is directly correlated to the shape of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape cut out is also much shorter in length. Conversely, when the plane is at a steep angle, the resulting elliptical shape cut out is much longer in length.
This is because the angle of the plane determines the amount of material that will be removed when the plane is used to cut the elliptical shape. When the plane is at a low angle, less material is removed, thus producing a shorter elliptical shape. When the plane is at a steep angle, more material is removed, thus producing a longer elliptical shape.
In addition, the angle of the plane also affects the depth of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape is shallow. Conversely, when the plane is at a steep angle, the resulting elliptical shape is deep.
Similarities between thermonic emissions and liquid vaporisation
Both processes involve a change in the state of matter. In thermionic emissions, electrons are emitted from a solid metal surface to form a gas or plasma, while in liquid vaporization, a liquid is converted into a gas or vapor.
Liquid vaporisation, also known as evaporation, is the process by which a liquid transforms into its gaseous state at a temperature below its boiling point. This occurs due to the random motion of molecules in a liquid, where some of the molecules near the surface gain enough kinetic energy to overcome the intermolecular forces holding them together and escape into the air as a gas.
During the process of liquid vaporization, the liquid absorbs energy from its surroundings in the form of heat, which increases the average kinetic energy of the molecules and causes them to evaporate. The rate of evaporation depends on several factors such as temperature, humidity, and surface area of the liquid.
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If 400 grams of water is to be heated from 24.0°C to 100.0°C to make a cup of tea, how much heat must be added? The specific heat of water is 4180 J/g∙C
Taking into account the definition of calorimetry, if 400 grams of water is to be heated from 24.0°C to 100.0°C to make a cup of tea, the heat added is 127254.4 J.
Definition of sensible heatWhen heat absorbs or releases from a substance causes a temperature change in it without affecting its physical state (phase change), it is called sensible heat.
The expression that allows to calculate heat exchanges is:
Q = c× m× ΔT
where:
Q is the heat exchanged by a body of mass m.c is the specific heat substance.ΔT is the temperature variation.Heat addedIn this case, you know:
Q= ?c= 4.180 J/g∙Cm= 400 gΔT= Tfinal - Tinitial= 100 C - 24 C= 76 CReplacing in the definition of sensible heat:
Q = 4.180 J/g∙C× 400 g× 76 C
Solving:
Q= 127254.4 J
Finally, the heat added is 127254.4 J.
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The higher up a ramp a marble is released, the further from A it lands. Why is this, from an energy perspective?
This is because the higher the marble is released, the more potential energy it has.
What is potential energy?Potential energy is the energy that is stored in an object due to its position, shape, or composition. This energy is released when the object is disturbed from its current state. Potential energy can be found in many different forms, such as gravitational, elastic, chemical, electrical, magnetic, and nuclear energy. Gravitational potential energy is the energy of an object due to its vertical position, and is calculated by multiplying its mass by the gravitational acceleration and its height. Elastic potential energy is the energy stored in a deformed material, such as a spring, that is released when the material returns to its original shape.
This potential energy is converted to kinetic energy as the marble rolls down the ramp, and this kinetic energy determines how far the marble will travel away from point A. The higher the initial potential energy, the further the marble will travel.
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an effort of 10n applied to a simple machine moves a load of 40n through a distance of 100mm,the efficiency at this load being 80%.calculate the velocity ratio
If an 80% efficiency machine lifts a load of 40n by applying a 10N effort then the velocity ratio (VR) will be 5.
What is the efficiency of a machine?The efficiency of a machine can be calculated by the ratio of mechanical advantage(MA) and the velocity ratio(VR).
Mathematically,
Efficiency= η= [tex]\frac{MA}{VR}[/tex]
where MA= mechanical advantage = load(W)/ Effort(P)
VR=velocity ratio=[tex]\frac{distance moved by effort }{distance moved by load}[/tex]
Here in the given question
Load(w)=40N
Effort(P)= 10N
MA=40/10=4
Efficiency(η)=80% =0.8
we Know η=MA/VR
VR=MA/η
VR=4/0.8=5
VR=5
Hence the velocity ratio of the machine is 5.
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An electron moves in a circular path with a radius of 0. 20 m at a constant speed of 1. 5 X 105 m/s. What is the period of its motion?
The period of motion of the electron is 2.09 × 10^-6 seconds.
What is period of motion ?
Period of motion can be defined as the time it takes for an object to complete one full cycle of its motion. In the context of circular motion, the period is the time it takes for an object to travel around a full circle and return to its starting position.
The period of motion, T, of an object moving in a circle can be calculated using the following formula:
T = 2πr/v
Where
r is the radius of the circle v is the speed of the objectIn this case, the electron moves in a circular path with a radius of 0.20 m at a constant speed of 1.5 × 10^5 m/s. Plugging these values into the formula gives:
T = 2π(0.20 m) / (1.5 × 10^5 m/s)
T = 2.09 × 10^-6 s
Therefore, the period of motion of the electron is 2.09 × 10^-6 seconds.
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which of the following statements is not true regarding the movement of particles
"Particles always move in straight lines" is not true. Particles can move in curved paths due to the influence of external forces, such as gravity or electric or magnetic fields.
What is gravity?Gravity is a natural phenomenon by which all objects with mass are brought toward one another. It is most commonly recognized as the force that gives weight to physical objects, and causes them to fall to the ground when dropped. Gravity is one of the fundamental forces of the universe and is a type of acceleration that affects all objects in the same way regardless of size, composition, and other factors. This force is responsible for keeping planets and other objects in their orbits around larger masses. It is also the driving force behind the formation of galaxies, stars, and other celestial bodies.
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A pendulum swings along path WXYZ and back again.
Resistive forces can be ignored.
which statement describes the Total energy of the bob?
A. it has a maximum value at X
B. it has a maximum value at Y
C. it has a maximum value at Z
D. it has the same value at W,X,Y and Z
- give answer with explanation please :) -
Why do ionizing smoke detectors contain an isotope that undergoes alpha decay rather than beta or gamma decay?
Ionizing smoke detectors contain an isotope that undergoes alpha decay (such as americium-241) because alpha particles are more ionizing than beta or gamma particles.
What is Isotopes?
Isotopes are variants of an element that have the same number of protons in their atomic nuclei but differ in the number of neutrons. This means that isotopes of the same element have the same atomic number (which determines the element's chemical properties) but different atomic masses.
In an ionizing smoke detector, the alpha particles emitted by the radioactive source ionize the air in the detector's chamber, creating a current that is detected by a circuit. When smoke particles enter the chamber, they attach to the ions and reduce the current, triggering the detector's alarm.
Alpha particles are heavier and have a higher charge than beta or gamma particles, which means they interact more strongly with matter and create more ionization as they travel through air. This makes them more effective at ionizing the air in the detector's chamber, and therefore more sensitive to the presence of smoke particles.
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In which type of relationship do both organisms benefit?
Answer: I think the answer is symbiotic tell me if I am right
Explanation:
Answer:
Symbiotic
Explanation:
Pathogenic relationships refer to things like microbes or viruses, think along the lines of how diseases spread throughout the body. One party is benefitted but the other is not.
'Microorganism' and 'macroorganism' refer to types of organisms rather than types of relationships.
How much heat is needed to change 7.2 kg of solid ethyl alcohol at "-211*C" to liquid at 50.0*C?
Please show all work! Thank you!
There is a requirement for 1,638,000 Joules of heat.
How do you convert joules into heat?Q=I2Rt provides the Joule's heating formula. Joule's heating formula states that the amount of heat produced is proportional to the length of time that the electrical resistance and current are both constant.
The following equation must be used:
Q = m × Lfus + m × Cp × ΔT
Ethyl alcohol has a heat of fusion of 105 J/g and a specific heat capacity of 2.44 J/g°C.
The amount of ethyl alcohol is specified as 7.2 kg, or 7,200 g.
The ethyl alcohol must be melted at a temperature of:
Q1 = m × Lfus =
7,200 g × 105 J/g
= 756,000 J
In order to raise the temperature of the liquid ethyl alcohol from 0°C to 50°C, we must determine the amount of heat needed:
ΔT = 50°C - 0°C
= 50°C
The amount of heat required to raise the temperature of the liquid ethyl alcohol is:
Q2 = m × Cp × ΔT
= 7,200 g × 2.44 J/g°C × 50°C
= 882,000 J
As a result, the total amount of heat needed to transform 7.2 kg of solid ethyl alcohol from -211°C to 50.0°C into a liquid is:
Q = Q1 + Q2 = 756,000 J + 882,000 J
= 1,638,000 J
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What is the frequency of a wave that travels through a spring at 2.6 m/s and has a wavelength of 1.3 meters
The frequency of a wave is the speed of the wave divided by its wavelength. The frequency of the wave travelling through at 2.6 m/s with the wavelength of 1.3 meters is 2 Hz.
What is frequency ?Frequency of a wave is the number of wave cycles travelling per unit time. It is the inverse of the time period thus has the unit of s⁻¹ which is equivalent to the unit Hz.
The frequency of a wave is inversely proportional to the wavelength of the wave. The speed of the wave is related to its frequency and wavelength as:
c = νλ
given, c = 2.6 m/s
wavelength, λ = 1.3 m.
then, frequency ν = c/λ
ν = 2.6 m/s / 1.3 m
= 2 Hz.
Therefore, the frequency of the wave is 2 Hz.
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5. Deltas are built up by ____.
A. Leaching
B. Desposition
C. Erosion
D. Abrasion
Answer:
B. Disposition
Explanation:
How are deltas formed?In order for a delta to form, water must flow slowly so that the sediment can be deposited to create new landforms.
Explain the interactions the model shows between earths systems
The Earth has four main interconnected systems: the atmosphere, the hydrosphere, the lithosphere, and the biosphere.
The model shows how all four systems interact with each other and influence each other. The atmosphere is responsible for controlling the climate and transferring energy through air currents and radiation. The hydrosphere includes all water on Earth, both frozen and liquid, and it is responsible for transporting water and energy. The lithosphere is made up of rocks, soil, and minerals, and it helps regulate and moderate the Earth's temperature. Finally, the biosphere is made up of all living things, and it influences and is influenced by all of the other systems.
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If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is 22,500 J
According to the solving the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.
What constitutes work completed?The work performed by a force is the sum of the movement and the component of something like the applied pressure of the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move with a certain amount of acceleration. Work completed is represented by the formula W = F.
According to the given information:KEf = (1/2)mv²
= (1/2)(1800 kg)(5.0 m/s)²
= 22,500 J
The work done on the car is equal to the change in kinetic energy:
W = KEf - KEi
= 22,500 J - 0 J
= 22,500 J
Therefore, the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.
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I understand the the question you are looking for is:
If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is?
If a 50g object is moving initially with 40m/s, after 2 min. it covered 670 m with 90 m/s.
a- Calculate the force applied causing it to speed up.
b- Calculate the work done by this force.
c- If the coefficient of friction for the ground is 0.34, What is the work done by friction?
d- What is the net work done?
Answer:
a) We can use the following formula to calculate the acceleration of the object:
a = (v_f - v_i) / t
where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time interval. Substituting the given values, we get:
a = (90 m/s - 40 m/s) / (2 min * 60 s/min) = 0.83 m/s^2
The force applied causing it to speed up can be found using Newton's second law of motion:
F = m * a
where F is the net force, m is the mass of the object, and a is the acceleration. Substituting the given values, we get:
F = 0.05 kg * 0.83 m/s^2 = 0.042 N
Therefore, the force applied causing the object to speed up is 0.042 N.
b) The work done by this force can be calculated using the following formula:
W = F * d
where W is the work done, F is the net force, and d is the displacement of the object. The displacement of the object is given by:
d = 670 m
Substituting the given values, we get:
W = 0.042 N * 670 m = 28.14 J
Therefore, the work done by the force is 28.14 J.
c) The work done by friction can be calculated using the formula:
W_friction = F_friction * d
where W_friction is the work done by friction, F_friction is the force of friction, and d is the displacement of the object. The force of friction can be calculated using:
F_friction = μ * F_norm
where μ is the coefficient of friction and F_norm is the normal force. The normal force is equal to the weight of the object, which is given by:
F_weight = m * g
where m is the mass of the object and g is the acceleration due to gravity. Substituting the given values, we get:
F_weight = 0.05 kg * 9.81 m/s^2 = 0.49 N
The normal force is equal in magnitude to the weight of the object, so we have:
F_norm = F_weight = 0.49 N
Substituting the given coefficient of friction, we get:
F_friction = 0.34 * 0.49 N = 0.17 N
The work done by friction can now be calculated by substituting the values we have found:
W_friction = 0.17 N * 670 m = 113.9 J
Therefore, the work done by friction is 113.9 J.
d) The net work done can be calculated as the sum of the work done by the applied force and the work done by friction:
W_net = W_applied + W_friction
Substituting the values we have found, we get:
W_net = 28.14 J + 113.9 J = 142.0 J
Therefore, the net work done is 142.0 J.
2. A huge snow storm dropped 10 inches of snow on Joe's driveway. His driveway is 126 meters long and Joe must shovel to get his car out of the garage. Joe pushes the shovel with a force of 10 N. How much work (in Newton meters) does Joe do to clear one path down his driveway?
The amount of work that Joe does to clear one path down his driveway is 1260 Nm.
How much work does Joe do to clear one path down his driveway?
The amount of work that Joe does to clear one path down his driveway is given by the product of the force he applies and the distance he moves the shovel:
Work = Force x Distance
In this case, the force is 10 N and the distance is the length of the driveway, which is 126 meters. Therefore:
Work = 10 N x 126 m = 1260 Nm
So Joe does 1260 Nm of work to clear one path down his driveway.
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Mars's moon Phobos is only about 12 km wide. Your weight on Phobos would be
0.001 what it is on Earth. Its escape velocity is 12 m/s. This velocity results in enough
kinetic energy to produce zero PE at infinite distance. You could launch yourself into
orbit around Phobos with a strong, very fast jump. Compare this jumping speed to
escape velocity, and describe what would happen if you jumped at an angle.
If you jumped at an angle, it would depend on the angle you jumped at and the speed you jumped at. If you jumped at an angle that was greater than the escape velocity of 12 m/s, you would be able to escape.
What is angle ?An angle is a figure formed by two rays, or line segments, that extend from a common endpoint. It is a measure of the amount of turn between the two rays. The angle is measured in degrees, with a full circle being 360 degrees. Angles can be acute, obtuse, right, reflex, or straight. Acute angles measure less than 90 degrees, whereas obtuse angles measure more than 90 degrees. Right angles measure exactly 90 degrees, reflex angles are greater than 180 degrees, and straight angles measure exactly 180 degrees.
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What is the resistance of resistor R1?
(1 point)
3.00
2.00
7.50
5.00
Answer:
Current in first junction R1, R2 = 5 amps
Since current thru R2 = 3 amps the current thru R1 = 2 amps
V1 = V = I1 R1 = 15 volts
R1 = 15 volts / 2 amps = 7.5 ohms
Problem: Calculate the length and orientation of a road of length 5 meters in a frame of reference which is moving with a velocity 0. 6c in a direction making an angle of 30 deg with the rod. Solution: e = 35 ^ 0 * 45
The length and orientation of the road in a frame of reference that is moving with the given velocity in a direction making an angle of 30 degrees with the road is calculated to be 2.641 meters and 16.83 degrees respectively.
Let's first calculate the velocity of the road in the frame of reference that is moving with a velocity of 0.6c. We can use the velocity addition formula to calculate this:
v' = (v - u) / (1 - uv/c²)
where
v = velocity of the road
u = velocity of the frame of reference = 0.6c
c = speed of light
Since the road is at rest in its own frame of reference, v = 0. Substituting the values, we get:
v' = (-0.6c) / (1 - 0.6c × 0 / c²)
v' = -0.8824c
The negative sign indicates that the road appears to be moving in the opposite direction in the moving frame of reference.
Now, let's calculate the length of the road in the moving frame of reference. We can use the length contraction formula to calculate this:
L' = L × √(1 - v'²/c²)
where
L = length of the road
v' = velocity of the road in the moving frame of reference
Substituting the values, we get:
L' = 5 × √(1 - (-0.8824c)²/c²)
L' = 2.641 meters
Therefore, the length of the road in the moving frame of reference is 2.641 meters.
Finally, let's calculate the orientation of the road in the moving frame of reference. We are given that the direction of the velocity of the frame of reference makes an angle of 30 degrees with the road. We can use the following formula to calculate the angle between the road and the velocity of the frame of reference in the moving frame of reference:
tan(e') = (tan(e) - u/c) / (1 - u×tan(e)/c)
where
e = angle between the road and the velocity of the frame of reference
u = velocity of the frame of reference = 0.6c
e' = angle between the road and the velocity of the frame of reference in the moving frame of reference
Substituting the values, we get:
tan(e') = (tan(30) - 0.6c/c) / (1 - 0.6c×tan(30)/c)
tan(e') = 0.294
Taking the inverse tangent, we get:
e' = 16.83 degrees
Therefore, the orientation of the road in the moving frame of reference is 16.83 degrees and the length of the road in the moving frame of reference is 2.641 meters.
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The complete question is :
Given a road of length 5 meters, calculate the length and orientation of the road in a frame of reference that is moving with a velocity of 0.6c in a direction making an angle of 30 degrees with the road.
Sonu is observing his image in a plane mirror. The distance between the mirror and his image is 4 m. If he moves 1 m towards the mirror, the distance between Sonu and his image will be: (a) 3 m (b) 5 m (c) 6 m (d) 8 m
Answer:
Originally Sonu and image is 8 m (4 m to mirror and 4 m to image)
If he moves 1 m towards the mirror the image distance will be reduced to (c) 6 m
In a series-parallel circuit, you can find the total
resistance of the circuit by calculating the resistance of
each parallel section and then adding the series
resistances to these values to obtain a single
resistance. (This class is about cars )
If you know the total current and voltage across the circuit, then you can find the total resistance using the Ohm's Law, that is : R = V / I.
How is resistance calculated in series-parallel circuit?In a series-parallel circuit, one can find the total resistance of circuit by calculating resistance of each parallel section and then adding reciprocals of these values to obtain total resistance of parallel section. Next, you can add series resistances to this total resistance to obtain single resistance for entire circuit.
In series the total resistance is equal to the sum of the resistors. In parallel, inverse of the total resistance is equal to the the sum of the inverse of each individual resistor.
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Note: The question given on the portal is incomplete. Here is the complete question.
Question: How is resistance calculated in a series-parallel circuit?
A 53. 0 kg stunt pilot who has been diving her airplane vertically pulls out of the dive by changing her course to a circle in a vertical plane. What is the apparent weight of the pilot at the lowest point of the pullout?
The apparent weight of the pilot at the lowest point of the pullout 1040 N.
The centripetal force, F = mv²/r, where m is the mass of the pilot, v is her speed, and r is the radius of the circle. At the lowest point of the pullout, the radius of the circle is equal to the distance from the center of the circle to the point where the plane changes direction (i.e., the height above the ground).
Since the plane is diving vertically, the initial speed is, v₀ = √(2gh), where h is the initial height of the plane above the ground, and g is the acceleration due to gravity. At the lowest point of the pullout, all of the potential energy that the plane had at the start of the dive is converted into kinetic energy. Therefore, the speed, v = √(2gh).
Substituting the expressions for v and r into the expression for the centripetal force,
F = m * (2gh) / (2h) = mg
Therefore, the apparent weight of the pilot at the lowest point of the pullout is twice her actual weight,
2 * (53.0 kg * 9.81 m/s²) = 1040 N
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