A 2.0 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 4.0 m at 3.0 Hz. Determine: a) the velocity of the object. b) the acceleration of the object. c) the pull of the object. d) what happens if the cord breaks.
Answers
The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
How do you find a velocity of an object?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).
By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.
An object's velocity can alter depending on whether it moves faster or slower or in a different direction. An object can move faster, slower, or remain stationary by being pushed or pulled in one direction or the other. Or to put it another way, a thing moves because of a force. Gravity and friction both act as sorts of forces that affect how an object moves.
Therefore, the correct answers are:
a) 75 m/s
b) 1.4 x 103m/s2
c) 2.8 x 103N
d) 75 m/s tangential object flight.
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Related Questions
Find the interaction energy for two point charges, q1 and q2, a distance a apart. [Hint: Put q1 at the origin and q2 on the z axis; use spherical coordinates, and do the r integral first.]
Answers
The interaction energy for two point charges, q₁ and q₂, a distance 'a' apart is q₁q₂/4πε₀a.
In physics, interaction energy is the contribution to the total energy that is caused by an interaction between the objects being evaluated. The interaction energy generally depends on the relative position of the objects.
For example q₁q₂/4πε₀Δr is the electrostatic interaction energy between two objects with charges q₁ and q₂.
[tex]W_{tot}[/tex] = ε₀/2(∫E²dτ)
= ε₀/2{(∫E₁ + E₂)²dτ}
= ε₀/2(∫E₁² + E₂² + 2E₁E₂)dτ
= W₁ + W₂ + ε₀(∫E₁ × E₂)²dτ
E₁ = 1/4πε₀(q₁/r²)r
E₂ = 1/4πε₀(q₂/ᴫ²)ᴫ
[tex]W_{i}[/tex] = ε₀q₁q₂/(4πε₀)²[∫{(1/r²ᴫ²)cosβr²sinθdrdθdφ}]
Where (from the figure)
ᴫ = √(r² + a² - 2ra cosθ), cosβ = (r - a cosθ)/ᴫ
Therefore
[tex]W_{i}[/tex] = {q₁q₂/(4π)²ε₀} 2π∫{(r - acosθ)/ᴫ³} sinθ drdθ
First do the r integral first, changing variables to ᴫ:
2ᴫdᴫ = (2r - 2a cosθ)
⇒(r - a cosθ)dr = ᴫdᴫ
As r : 0→∞, ᴫ : a→∞, so
[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex](∫limit 0 to ∞ 1/ᴫ² dᴫ) sinθ dθ
The ᴫ integral is 1/a, so
[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex] sinθ dθ
[tex]W_{i}[/tex] = q₁q₂/4πε₀a
This is the exact interaction energy of two-point charges.
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A meter‑long wire of mass 185 g is attached to a 60. 0 Hz mechanical wave oscillator operating at 139 W. The far end of the wire is strung over a frictionless, massless pulley, and a 306 g mass is hung from it. When the oscillator is turned on, it produces a sinusoidal wave in the wire. Calculate the amplitude of oscillation of the wire. Use the value 9. 81 m/s2 for the acceleration due to gravity
Answers
The tension in the wire is 2.99986 N. The amplitude of the oscillation of the wire is approximately 0.01067 meters.
The tension (T) can be calculated using the equation:
T = m × g
T = 0.306 × 9.81
T = 2.99986 N
The linear mass density (μ) of the wire is given by the mass per unit length of the wire. It is calculated as:
μ = m(wire) ÷ L(wire)
μ = 0.185 ÷ 1
μ = 0.185 kg/m
The speed (v) of the wave on the wire can be determined using the equation:
v = √(T ÷ μ)
v = √(2.99986 ÷ 0.185 )
v = 7.351 m/s
The power (P) transmitted by the wave is related to the amplitude (A) and the speed (v) of the wave through the equation:
P = 2π² × μ × v × A² × f²
A² = P ÷ (2π² × μ × v × f²)
A² = 139 ÷ (2π² × 0.185 × 7.351 × (60.0)²)
A² = 1.138 × 10⁻⁴
A = √(1.138 × 10⁻⁴)
A = 0.01067 m
Therefore, The amplitude of the oscillation of the wire is approximately 0.01067 meters.
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The electric field near the surface of Earth points downward and has a magnitude of 140 N/C. A. Compare the upward electric force on an electron with the downward gravitational force. (upward force / downward force)b. What magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface?
Answers
The me = 9.1 x 10-31 kg the the upward electric force on an electron with the downward gravitational force. C = 0.42 mC is the magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface.
What is magnitude ?
According to the physics definition, magnitude is just "distance or quantity." It demonstrates how an object moves as it is moving, including whether the movement is absolute, relative, or of a particular size. It serves as a means of describing the size or scope of something. Physicists use the word "magnitude" to indicate size or distance.
What is gravitational force ?
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.
E = 140 N/C
qe = -1.6 x 10-19 C
me = 9.1 x 10-31 kg
A) Fe = qe.E = 1.6 x 10-19. 140 = 2.24 x 10-17 N ( upward )
Fw = me.g = 9.1 x 10-31.9.8 = 8.918 x 10-30 N (down ward )
Fe/Fw = 2.51 x 1012
B) mg = q.E
q = mg/E = (6 x 10-3.9.8) /140
q = 4.2 x 10-4 C = 0.42 mC
Therefore, me = 9.1 x 10-31 kg the the upward electric force on an electron with the downward gravitational force. C = 0.42 mC is the magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface.
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Why is countercurrent considered more effective?
Answers
The gills of fish have a structure known as "countercurrent oxygen exchange" that increases the quantity of oxygen that can be taken up by the blood.
They accomplish this by increasing the amount of time that their blood is in contact with water that has more oxygen while the blood absorbs more oxygen.
The ability to extract a greater amount of the heating fluid's heat is one of the major benefits of counter-current flow. It is significant to notice that at the same terminal temperature, the LMTD value for counter-current flow is significantly higher than for concurrent flow. The streams enter the heat exchanger at the opposing ends in the countercurrent mode.
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New ecosystems have been created by human land use.
Answers
At present, many artificial ecosystems have been built according to human purpose and demand, such as farmland, artificial grassland, greenhouse, economic forest, aquaculture farm and many more. These ecosystems have a fundamental change in structure and function compared with the original ecosystem.
Answer:
Yes
Explanation:
When humans use land, they change it to accommodate their own needs, and thus new locations and new habitats for other organisms are created. These organisms can now live there and create new organisms, and thus create new ecosystems as a result of human use of that particular piece of land.
Electricity travels in closed circuits, and its normal route is through a conductor. Electric shock occurs when:
Answers
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
What do you mean by "electric shock"?
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit. This can happen when the person comes into contact with a live conductor, such as a wire carrying an electrical current, or when the person becomes part of the circuit, such as by touching both a live wire and a ground.
Electric shock can cause a range of symptoms depending on the severity and duration of the exposure, including muscle contractions, burns, internal injuries, and in severe cases, cardiac arrest or death. Electric shocks can also cause electrical burns which can be serious.
When a person comes into contact with a current, it can cause an electric shock, which can range in severity from a mild tingling sensation to severe injury or death. Factors that determine the severity of an electric shock include the amount of current flowing through the body, the duration of contact with the current, and the path the current takes through the body.
It is important to note that Electric shock can be prevented by following safety guidelines and by using proper safety equipment when working with electrical equipment and circuits.
Hence, Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
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PLEASE HELP!!!!! BRAINLIEST
Elena failed her algebra exam and blames her teacher for teaching the concepts poorly. How would attribution theory explain Elena's behavior?
Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Elena is using internal attribution because she is blaming events that were within her own control.
Elena is using internal attribution because she is blaming events that were within her own control.
Elena is using situational attribution because she is blaming events that were outside of her control.
Elena is using situational attribution because she is blaming events that were outside of her control.
Elena is making a dispositional attribution because she is assigning her teacher's behavior to her character
Answers
Elena is using situational attribution because she is blaming events that were outside of her control.
Attribution is a concept used in psychology to describe how people see the reasons of their daily experiences as either external or internal. Attribution theory refers to models that explain this process. To comprehend people's behaviour, we use attribution theory to assign sentiments and intentions to them. For example, when we witness someone ranting on public transportation, we may automatically use this notion. You may blame their personality, presuming they are an angry person.
Psychologists have discovered a number of biases in the way humans ascribe causality, particularly when engaging with others. The basic attribution mistake is defined as the propensity to credit dispositional or personality-based reasons for behaviour rather than taking into account environmental variables. We have a tendency to blame individuals for their own tragedies while blaming external forces for our own. Culture bias occurs when someone assumes anything about another person's conduct based on their own cultural customs and beliefs.
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3 positive test charge lie on the x axis,q1=25microcoloum,is at the origin ,q2=10microcoloumb is at x=2m and q3=20microcloumb is at x=3m.find the resultant force on q3?
Answers
Answer:
the link is right here
ok
what determines the number of rattlesnakes in a forest ecosystem?
A. The number is in exact proportion to the availability of prey
B. Their number depends on how many eggs hatch
C. By how many hawks and owls are eating them
D. How well they are able to defend themselves against Raptors
Answers
The number of rattlesnakes in a forest ecosystem would be dependent on both the number of available prey and predators.
Predator, prey, and population sizeThe population size of an organism in an ecosystem depends on a variety of factors. Prominent among these factors are food availability and the population of predators in the ecosystem.
Rattlesnakes are predator snakes who also serve as prey to predatory birds such as hawks and owls.
Thus, the population of rattlesnakes would depend largely on the availability of prey as well as the population of predatory birds in the ecosystem.
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How far up a wall will a 25 ft ladder reach if the base of the ladder is 7 feet from the wall?
Answers
The height formed by this 25-foot ladder that leans against a wall is 24 feet.
To find out how far up a wall a ladder will reach, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder forms one side of the triangle, the wall forms another side, and the distance between the base of the ladder and the wall forms the hypotenuse.
Let's call the height of the wall h. Using the Pythagorean theorem, we can set up the following equation:
(25 ft)^2 = h^2 + (7 ft)^2
625 = h^2 + 49
576 = h^2
h = sqrt(576) = 24 ft
Therefore, a 25 ft ladder that is 7 feet from the wall will reach 24 feet up the wall.
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A toy car move around a loop-the-loop track. The loop i 0. 5 high. What i the minimum peed of the car at the top of the loop for it to tay on track?
Pleae work it!!
I found all the anwer are 1. 57m/ but it i
0. 78m/
Answers
The minimum speed of the car at the top of the loop for it to stay on track be 1.57 m/s.
What is speed?The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.The speed at which an object's location changes in any direction.The distance traveled in relation to the time it took to travel that distance is how speed is defined.As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.To learn more about speed refer to:
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Stephen has to drive 8 miles south and 3 miles east to get to work.What is his distance and displacement?
Answers
Since the displacement is a vector quantity, the distance is 11 miles while displacement is 8.5 miles
What is Displacement ?Displacement is a distance travelled in a specific direction. Distance is a scalar quantity while displacement is a vector quantity.
Given that Stephen has to drive 8 miles south and 3 miles east to get to work.
His distance will be 8 miles + 3 miles = 11 miles
While his displacement can be calculated by using Pythagoras theorem. That is,
Displacement D = √(8² + 3²)
D = √(64 + 9)
D = √73
D = 8.5 miles
Therefore, his distance is 11 miles and his displacement is 8.5 miles.
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Determine the quantity of charge on a plastic tube which has been rubbed with animal fur and gained 3. 8 x 10^9 electrons
Answers
The quantity of charge on a plastic tube that has been rubbed with animal fur and gained 3. 8 x 10^9 electrons is The quantity of charge on the plastic tube is 3.8 x 10^9 electrons.
The quantity of charge on the plastic tube is 3.8 x 10^9 electrons. To calculate this value, we can use the equation q = n*e, where q is the charge, n is the number of electrons and e is the elementary charge (1.6 x 10^-19 C). Substituting in the values given, we get q = 3.8 x 10^9 * 1.6 x 10^-19 = 6.08 x 10^-10 C. This means that the plastic tube has gained a charge of 6.08 x 10^-10 Coulombs, which is equivalent to 3.8 x 10^9 electrons.
This can be explained by the process of triboelectricity, which is the transfer of electrons between two materials due to rubbing them together. In this case, the animal fur must have had a higher electron affinity than the plastic, which caused electrons to be transferred from the fur to the plastic tube.
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The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . How many revolutions does each tire make before the car comes to a stop, assuming that the car does not skid and that the tires have radii of 0.37 m
Answers
The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . The car makes 139 revolutions.
A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Acceleration in the direction crosswise to the direction of the velocity is always referred to as deceleration. Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system.
Given:
v₀ = 30 m/s
v = 0 m/s
a = -1.4 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)
² = (30 m/s)
² + 2 (-1.4 m/s²) Δx
Δx = 321.43 m
The tires' circumference is 2 m plus 0.37 m, or 2.32 m. Therefore:
139 rev = 321.43 m (1 rev / 2.32 m)
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The intensity of light depends on the amount of *blank blank*
released and the *blank*
from the light source.
Answers
Answer:
energy? or power? I'm not really sure but using the quizzes app really help with science problems
He watched as night gave way to sunrise, dimming the stars in the sky. What is the meaning of dimming as it is used in the sentence
Answers
It is believed that human activity has increased the amount of particulates or aerosols in the atmosphere, including sulfate aerosols.
Dimming: What kind of word is that?dimmed, dimming, verb (used with subject), dimmeddull or make dimmer. to change (a vehicle's headlights) from high to low beam.dimmed, dimming, verb (and use it without object), dimmed
Dim sum – how to use in a sentence?The restaurant's dim sum was quite well-liked.On the weekends, waiters drive a cart that contains the dim sum in the old-fashioned manner.
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An unbalanced force of 20 N is applied to a 4.0 kg mass at rest. What is the
acceleration of the object?
Answers
Answer:
5 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass
We have
[tex]a = \frac{20}{4} = 5 \\ [/tex]
We have the final answer as
5 m/s²Hope this helps you
What are the two naturally occurring liquid elements?
Answers
Answer:
Explanation:
The two liquid elements are bromine and mercury. Many elements naturally occur as gases: hydrogen, nitrogen, oxygen, fluorine, chlorine, and all the noble gases (Group VIIIA elements). The remaining elements exist as solids.
Answer:
bromine and mercury
Explanation:
A rubber ball and a clay ball of equal mass are dropped from the same height and hit the ground. The clay ball sticks to the ground while the rubber ball rebounds. Which experiences the greater impulse from the ground
Answers
The rubber ball experiences the greater impulse from the ground, because the clay ball sticks to the ground and does not rebound. Impulse is equal to the change in momentum, and since the rubber ball rebounds and the clay ball does not, the rubber ball experiences a greater change in momentum and, therefore, a greater impulse from the ground.
The momentum of the rubber ball is also greater than that of the clay ball, because the rubber ball rebounds and the clay ball does not. Momentum is equal to the product of mass and velocity, and the rubber ball's velocity is greater than that of the clay ball due to its rebound. Therefore, the rubber ball has greater momentum than the clay ball.
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A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s
Answers
The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.
Does acceleration affect angular velocity?The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.
What is the formula for angular acceleration?The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.
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What part of the scientific method tells us the real answer to the problem?
Answers
Conclusion part of the scientific method tells us the real answer to the problem.
Analysis and Conclusion ,In this step, the experiment's outcomes are determined using appropriate mathematical and other scientific techniques. The study can be used to determine the best course of action moving forward. The hypothesis is accepted if the evidence from the analysis support it.
The scientific method is a procedure used by scientists to explore, confirm, or create a precise and trustworthy model of any natural phenomenon. They are carried out by developing an objective framework for scientific inquiry, analyzing the findings objectively, and drawing a conclusion that either confirms or disproves the initial observation.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever
would have been used with an effort arm of 12 meters and a load arm of 6 meters? (1 point)
O 100 J
0 72 J
O 50 J
O 600 J
Answers
Accounting for things like how many team members should be assigned to a task, how many resources are required, how many hours tasks will take and more.
Why is it necessary for the effort arm to be longer than the load arm?When the effort arm is longer than the load arm, there is a significant mechanical advantage.The lever is made up of two “arms”: The load arm (also known as the output arm) is the portion of the lever that is directly attached to the load. The effort arm (or applied force arm) is the section of the lever to which the effort, or input force, is applied.
A= W P = 1 , Where W represents the load and P represents the effort. So, if we utilize one fixed pulley to raise the weight, the effort required will be 50 k g w t in one direction.
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Can someone help me with this please
Answers
Answer:
1. 2HCl + MgO —-> MgCl2 + H2O
Explanation: You add a 2 in front of the HCl in order to have 2 hydrogens on each side and 2 Cl on each side. Since, Magnesium only has one on each side, they’re already balanced. Same with Oxygen so you leave it alone.
You toss a ball at 30 m/s straight upwards. How much time will take the ball to reach the top of its path?
Answers
Answer:
Explanation:
One thing we need to remember is that at the max height of parabolic motion, the velocity is 0 (because the object has to stop for a millisecond in the air to turn around and head back down). Use the one-dimensional motion equation
v = v₀ + at and filling in:
0 = 30 + (-9.8)(t) and
-30 = -9.8t so
t = 3 seconds
Two unequal masses are dropped simultaneously from the same height. The two masses will experience the same change in
(A) acceleration
(B) kinetic energy
(C) potential energy
(D) velocity
Answers
When two unequal masses are dropped simultaneously from the same height, then both masses will experience the same change in D: velocity.
Velocity is the prime indicator of the position and the rapidity of the object. It can be described as the distance covered by an object in a unit of time. It means that velocity is the displacement of the object in unit time. When in the case where two objects with unequal masses are dropped simultaneously from the same height, both masses will attain the same change in velocity.
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A person weighing 500 N and a girl weighing 350 N are sitting on a board. The 50N- board is uniform and is supported at the center. The 500-N person is 1.5 m from the center, how far from the center should the girl sit so that the board is in equilibrium
Answers
The girl should sit 2.14 m from the center to keep the board in equilibrium.
What is equilibrium?
Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.
In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.
To find the distance from the center that the girl should sit, we can set up the following equation:
F_net = 0 = (500 N)(1.5 m) - (350 N)(x)
where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.
Solving this equation for x:
x = (500 N)(1.5 m) / 350 N = 2.14 m
Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.
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The distance from the acoustic center of the source to the point at which the intensity of the direct sound equals that of the reverberant field describes
Answers
Critical distance is defined as the distance between the acoustic center of the source and the point at which the intensity of the direct sound equals that of the reverberant field.
The distance from a sound source when the direct energy (energy radiated straight from the source) equals the reverberant energy (radiated from walls, floor, and ceiling) is called critical distance. It can be said as the critical distance is the distance between the microphone and the sound source at which the level of room reverberation is equal to the level of the direct sound. Critical distance is considered an important factor in positioning loudspeakers and microphones.
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A hunter shoots a bullet horizontally at a rock cliff wall that is 200 m away. They hear the sound of the bullet hitting the rock 0.85 seconds later. Knowing that the speed of sound was 340 m/s, what was the speed of the bullet
Answers
The fact is that the speed of the bullet plus the speed of sound is equal to the total distance traveled divided by the total time taken. Speed of bullet + Speed of sound = Total distance traveled / Total time taken.
Calculation-We know the speed of sound is 340 m/s, the distance traveled is 200 m, and the time taken is 0.85 seconds. We can use these values to find the speed of the bullet.
Speed of bullet = (Total distance traveled / Total time taken) - Speed of sound
By substituting the values, we get:
Speed of bullet = (200m / 0.85s) - 340m/s
Speed of bullet = 235.29 m/s
Therefore, the speed of the bullet was 235.29 m/s.
Is a bullet moving at the same rate as light?Nothing can travel faster than the speed of light, according to Einstein's special relativity theory, which was first published in 1905. According to Einstein, this speed is a basic constant of nature since it seems the same to all observers, regardless of where they are in space.
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Highlight two factors which show that heat from the sun does reach the earth surface by conversation
Answers
Answer:
Radiation
Explanation:
The sun heat the earth by the process called radiation.
Radiation is form of heat transfer method just like convection and conduction. Radiation heat transfer does not require medium to propagate, unlike its other two counterparts. There is no medium between earth and sun.
The radiation heat travels through space in form of waves. Like the electromagnetic wave with a specific speed and energy.
G Two tiny particles having charges +20. 0 μC and -8. 00 μC are separated by a distance of 20. 0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4πε0 = 9. 0 × 109 N ∙ m2/C2)(calculate separately electric field due to each charge at that point, next taking into account direction of each field find net electric field)
Answers
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
The magnitude of the electric field due to the positive charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)
E = 4.5 x 10^9 N/C
The magnitude of the electric field due to the negative charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)
E = -1.8 x 10^9 N/C
The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.
To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.
E_net = E_positive + E_negative
E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)
E_net = 2.7 x 10^9 N/C
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
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