Question

what happens to the kinetic energy when the speed of an object is tripled?

Answer 1

The kinetic energy of an object with mass m and which has a speed of v is given by (1/2)*m*v^2.

The change in the kinetic energy of the object as the speed changes is proportional to the square of the factor by which the speed changes.

If the speed of the object triples the kinetic energy becomes nine times the initial kinetic energy.



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Answer 2

$\huge{HOWDY}$

We know Kinetic Energy of a Body is 1/2 × m × v^2.

According to the Question :
The Velocity is Tripled.

Hence the Kinetic Energy Will be :

K(e) = 1/2.m.(v)^2
= 1/2.m.(3v)^2
= 1/2.m.9v^2.

The Velocity of a body is directly proportional to its Kinetic Energy.So,K.E. will be increased by 9 times if the Velocity is Tripled.