Question

A monkey (mass M) is in a tree, holding on to a sturdy jungle vine of length R (attached to a
strong branch of a different tree). The vine is initially in a horizontal orientation as shown, and the
monkey drops from rest, moving along a circular arc with no air resistance. At the bottom of the
swing, a distance h = R below where he started, he picks up a backpack (also mass M, sitting
at rest) that was temporarily placed there by an explorer. You are attempting to figure out how
high (final height H) the monkey and backpack together will rise on the other side of the swing.
In thinking about the situation, which of the statements below is false ?

Can you also please explain why Option E would be true?

Answer 1

Here, option C is False .

As, Initial gravitational potential energy of monkey = Mgh

      Final gravitational potential energy of monkey and backpack = (M +m)gH

So,    Mgh is not equal to   (M +m)gH .

Also, option E is true .

In inelastic collision

As, Initial momentum of monkey before collision = Final momentum of monkey after collision