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What happens to the kinetic energy of the body if its velocity is doubled?
- a)Remains same
- b)Becomes double
- c)Becomes four times
- d)Becomes half
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What happens to the kinetic energy of the body if its velocity is dou...
Kinetic Energy and Velocity
Kinetic energy is the energy possessed by an object due to its motion. It is directly proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is given by:
K.E. = (1/2)mv^2
Where:
K.E. = Kinetic energy
m = Mass of the body
v = Velocity of the body
Effect of Doubling Velocity
When the velocity of a body is doubled, it means that the new velocity becomes twice the initial velocity. Let's assume the initial velocity of the body is 'u' and the new velocity is '2u'.
Comparing the Initial and Final Kinetic Energies
To understand the effect of doubling velocity on kinetic energy, let's compare the initial and final kinetic energies.
Initial Kinetic Energy:
K.E. = (1/2)mu^2
Final Kinetic Energy:
K.E. = (1/2)m(2u)^2
K.E. = (1/2)m(4u^2)
K.E. = 2mu^2
Comparing the initial and final kinetic energies, we observe that the final kinetic energy is four times the initial kinetic energy. Therefore, when the velocity of a body is doubled, its kinetic energy becomes four times larger.
Explanation:
The increase in kinetic energy is due to the fact that kinetic energy is directly proportional to the square of the velocity. When the velocity is doubled, the new velocity is squared, resulting in a four-fold increase in kinetic energy. This relationship can be understood by considering the formula for kinetic energy, where the velocity is squared.
Conclusion:
The kinetic energy of a body becomes four times larger when its velocity is doubled. This increase in kinetic energy is due to the direct relationship between kinetic energy and the square of velocity.
Kinetic energy is the energy possessed by an object due to its motion. It is directly proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is given by:
K.E. = (1/2)mv^2
Where:
K.E. = Kinetic energy
m = Mass of the body
v = Velocity of the body
Effect of Doubling Velocity
When the velocity of a body is doubled, it means that the new velocity becomes twice the initial velocity. Let's assume the initial velocity of the body is 'u' and the new velocity is '2u'.
Comparing the Initial and Final Kinetic Energies
To understand the effect of doubling velocity on kinetic energy, let's compare the initial and final kinetic energies.
Initial Kinetic Energy:
K.E. = (1/2)mu^2
Final Kinetic Energy:
K.E. = (1/2)m(2u)^2
K.E. = (1/2)m(4u^2)
K.E. = 2mu^2
Comparing the initial and final kinetic energies, we observe that the final kinetic energy is four times the initial kinetic energy. Therefore, when the velocity of a body is doubled, its kinetic energy becomes four times larger.
Explanation:
The increase in kinetic energy is due to the fact that kinetic energy is directly proportional to the square of the velocity. When the velocity is doubled, the new velocity is squared, resulting in a four-fold increase in kinetic energy. This relationship can be understood by considering the formula for kinetic energy, where the velocity is squared.
Conclusion:
The kinetic energy of a body becomes four times larger when its velocity is doubled. This increase in kinetic energy is due to the direct relationship between kinetic energy and the square of velocity.
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What happens to the kinetic energy of the body if its velocity is dou...
- A force must be applied on a body to accelerate an object. Work must be done in order to apply a force. The body will move with an unvarying speed after the work has been done due to the energy provided by it.
- The speed and the mass of the body are factors on which the energy transfer that makes up the kinetic energy depends. The kinetic energy of an object is the energy that it possesses due to its motion.
- Kinetic energy definition is given as: The energy of an object because of its motion or the energy gained by an object from its state of rest to motion. Formula of Kinetic Energy: Following is the formula of kinetic energy: KE = 12mv2 Where, KE is the kinetic energy of the object m is the mass of an object v is the velocity of an object Kinetic energy is an example of scalar quantity which means that the quantity has only magnitude and no direction. Unit of Kinetic Energy: The SI unit of kinetic energy is Joule which is equal to 1 kg.m2.s-2. The CGS unit of kinetic energy is erg.
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What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer?
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What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer?.
What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens to the kinetic energy of the body if its velocity is doubled?a) Remains sameb) Becomes doublec) Becomes four timesd) Becomes halfCorrect answer is option 'C'. Can you explain this answer?.
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