Question

Consider a one dimensional head on collision of two balls.
Statement-1 : The loss in kinetic energy of the system during the collision does not depend on the velocity of the observer.
Statement-2 : Kinetic energy of a body is independent of velocity of observer.
A. Statement-1 is true, Statement-2 is true and statement-2 is correct explanation for Statement-1
B. Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, Statement-2 is true

Answer 1

Correct Answer - A

To just shift `m_(2)`
`kx=mum_(2)g`
`x=(mu m_(2)g)/(k)`
By work energy theorem.
`F(x)- mu m_(1)gx-(1)/(2)kx^(2)=0implies F = mum_(1)g+(kx)/(2)=mum_(1)g+(mum_(2)g)/(2)`