Question

If the speed of a body is increased 4 times, how will its kinetic energy be affected? Show the calculation

Answer 1

Answer:

If the speed is increased by 4 times the kinetic energy gets increased 16 times.

Answer 2

Answer: K.E. increases by 16 times.

Step-by-step explanation:

Kinetic energy is given by the formula 1/2mv^2 .

If speed is increased 4 times. Then,

K.E. = 1/2 mv^2 (initial)

K.E. = 1/2 m× (4v)^2 (speed is 4 times)

= 1/2 m×16v^2

Now, taking ratio of the final and initial K.E.

K.E.(F)/ K.E.(I) = 1/2m× 16v^2/ 1/2mv^2

= 16

Hence, K.E. increases by 16 times the original one when speed is increased by 4 times.