Two spheres are moving towards each other. Both have same radius but their masses are 2kg and 4kg. If the velocities are 4m/s and 2m/s respectively and coefficient of restitution is e = 1/3, find.
Maximum potential energy of deformation.

Explanation

In `DeltaABCsintheta=(BC)/(AB)=R/(2R)=1/2`
or `theta=30^(@)`

Maximum potential energy of deformation is equal to loss in kinetic energy during deformation upto maximum deformed state,
`U=1/2m_(1)(u_(1)costheta)^(2)+1/2m_(2)(u_(2)costheta)^(2)-1/2(m_(1)+m_(2))v^(2)`
`=1/(2)2(4cos30^(@))^(2)+1/(2)4(-2cos30^(@))^(2)-1/2(2+4)(0)`
or U =18 Joule