Question : If both the mass and the velocity of a body are increased to twice their magnitude, the kinetic energy will increase by:
Option 1: 2 times
Option 2: 4 times
Option 3: 8 times
Option 4: 16 times
Correct Answer: 4 times
Solution : The correct option is 4 times .
The kinetic energy of a body rises by a factor of 4 when both its mass and velocity are raised to twice its magnitude. The equation for kinetic energy, KE = 1/2 * m * v
2
, may be used to explain this. It takes into account the body's mass, velocity, and kinetic energy. The new kinetic energy of the body may be estimated as follows if both its mass and speed are doubled:
The body's new mass is 2 meters.
The body's new velocity is 2v.
These numbers are substituted in the kinetic energy calculation to provide KE = 1/2 * (2m) * (2v)
2
= 4 * (1/2 * m * v)
2
= 4 * KE.
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