# What will happened to your kinetic energy if you triple your speed? If our speed increases three times, our kinetic energy increases by a factor of nine, that is, our kinetic energy increases nine times.

The kinetic energy is a form, of mechanical energy and it is associated with the movement of the bodies. All body with mass m, which moves with...

If our speed increases three times, our kinetic energy increases by a factor of nine, that is, our kinetic energy increases nine times.

The kinetic energy is a form, of mechanical energy and it is associated with the movement of the bodies. All body with mass m, which moves with a speed v, has associated a kinetic energy given by the following expression:

Ek = (mv^2)/2

Where:

m, is the mass of the body.

v, is the velocity of the body.

The kinetic energy Ek1, for the initial velocity v1 is:

Ek1 = (mv1^2)/2

As we see, the kinetic energy is proportional to the square of the speed. If the initial speed v1 increased three times, the final speed v2, will be:

v2 = 3v1

Then the kinetic energy Ek2, for the speed v2, will be:

Ek2 = (mv2^2)/2 = [m(3v1)^2]/2

Ek2 = 9(mv1^2)/2 = 9(Ek1)

So, when the speed increases three times, the kinetic energy increases nine times.

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