If the speed of an object in motion is doubled, its kinetic energy becomes how many times the original kinetic energy

Question

asked Aug 2, 2022 27.2k views

1 Answer

Wspeirs · Answer 1 · 2022-08-07T17:36:53+0000

Answer: Becomes four times

Explanation:

Given

Speed is doubled for a moving object

Suppose initial speed is u

Increased speed is 2u

Kinetic Energy is given by

$\Rightarrow K=0.5mu^2$

When speed is doubled

$\Rightarrow K'=0.5m(2u)^2\\\Rightarrow K'=(0.5mu^2)* 4\\\Rightarrow K'=4K$

Kinetic energy becomes four times