A shopping cart moves with a kinetic energy of 40 J.If it moves at twice the speed,its kinetic energy is

Question

Quizplus · Accepted Answer

The kinetic energy of a moving object is directly proportional to the square of its velocity. Therefore, if the velocity of the shopping cart is doubled, its kinetic energy will be four times greater.

Mathematically:

K = (1/2)mv^2

If v is doubled, then:

K' = (1/2)m(2v)^2 = 4(1/2)mv^2 = 4K

Therefore, if the initial kinetic energy is 40 J, then doubling the velocity will result in a kinetic energy of 160 J.

A Shopping Cart Moves with a Kinetic Energy of 40