f momentum is increased by 20% then K. E increase by:
Correct answer: A. 44%
- A. 44%
- B. 55%
- C. 66%
- D. 77%
Explanation
Option A is correct according to the following calculations. The increase in kinetic energy is 44%. The momentum of a body is given by the product of its mass and velocity. The kinetic energy of a body is given by the product of half of its mass and the square of its velocity. If the momentum is increased by 20%, then the mass or velocity of the body must increase by 10%. The kinetic energy of the body will increase by 44%. The following equation shows the relationship between momentum, mass, velocity, and kinetic energy: Momentum = Mass * Velocity Kinetic Energy = 1/2 * Mass * Velocity^2 Let's assume that the initial momentum of the body is 100 units. The mass and velocity of the body will increase by 10%, so the final momentum of the body will be 120 units. The final kinetic energy of the body will be 144 units, which is an increase of 44% from the initial kinetic energy of 100 units. Therefore, the increase in kinetic energy is 44%.
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About Work and Energy
Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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