he coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. for an object with a coefficient of 0.76, what fraction of the object's kinetic energy is lost during a single collision? the coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. for an object with a coefficient of 0.76, what fraction of the object's kinetic energy is lost during a single collision? 42% 58% 17% 51%



Answer :

A single collision results in a loss of 42% of the object's kinetic energy.

How  to calculate coefficient of  restitution?

Kinetic energy is equal to 0.5 x mass x v2.

kinetic energy coming in = 0.5 x m x v2

v/u = Coefficient of restitution

0.76 = v/u

v = 0.76u

Kinetic energy expended = 0.5 x m x 0.76²

Kinetic energy expended = 0.5 x m x 0.5776

Kinetic energy expended = 0.5776 (0.5 x m x )

The kinetic energy that is coming in is 0.5 x m x x2.

kinetic energy expended = 0.5776 x (incoming kinetic energy)

The entering kinetic energy is equal to 57.76% of the exiting kinetic energy, as can be seen from the above.

A loss of energy of 100 - 57.76 = 42.24%

Therefore, a single collision results in a loss of 42.24% of the object's kinetic energy.

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