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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