An inelestc ball of mass `m` moves at speed a toward mother ineclasits ball of mass `m` at rest They collide and stick togather both moving at speed is nothing else is known about the condition under which the collision take plane which of the fpllowing statement is the most correct?

Options

A. Nether total kinetic energy not total linear momenr=tum can be conserved
B. This is at clastic collision in which both total kinetic energy and total linear momentum are conserved the fixed speed is `v = u//2`
C. This is an inelistic collision and in such collision , total linear momentum is always conserved the final speed is `v = u//4`
D. This is an inelistic collision and in which total linear momentum is conserved provided no external force can deliver to the system (of two ball) di=uring the collision

Answer

D

Explanation

Both the balls collide and stick together, so it is perfectly inelastic collision.
If no internal impulasive forces are present , then by momentum of conservation
`m u + 0 = (m + m) v`
`v = (u)/(2)`