What happens to the kinetic energy, if the speed of an object doubles?

Kinetic energy is transferred between objects and can be transformed into other forms of energy. Kinetic energy is given by

KE =1/2mv2

where KE is the kinetic energy, m is the mass of the body

v is the velocity of the body

When speed doubles kinetic energy becomes

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 becomes double, its kinetic energy changes to four times the initial kinetic energy.

If v becomes 2v, then

KE = ½m(2v)2

= 4—½mv2

= 4 times initial KE

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