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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?

Respuesta :

Answer:

Technician A is correct

Explanation:

As per the question:

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

[tex]KE = \frac{1}{2}mv^{2}[/tex]

where

v = speed of the object

Now, let us double the speed:

v' = 2v

Now,

[tex]KE' = \frac{1}{2}mv'^{2}[/tex]

[tex]\frac{1}{2}m(2v)^{2}[/tex]

[tex]KE' = 4.\frac{1}{2}mv^{2} = 4KE[/tex]

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

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