Question

Two technicians were discussing the kinetic energy a vehicle possesses with respect to its speed. Technician A stated that if the speed of a moving object doubles, the kinetic energy becomes almost four times as great. Technician B disagreed and stated that if the speed of a moving object doubles, the kinetic energy is also doubled. Which technician is correct?

Answer 1

Technician A is correct

Step-by-step explanation:

As per the question:

We know that kinetic energy of an object is given by:

`KE = (1)/(2)mv^(2)`

where

v = speed of the object

Now, let us double the speed:

v' = 2v

Now,

`KE' = (1)/(2)mv'^(2)`

`(1)/(2)m(2v)^(2)`

`KE' = 4.(1)/(2)mv^(2) = 4KE`

Thus the Kinetic energy becomes 4 times of its initial value.