Question

A ball is thrown vertically up (taken as + z - axis) from the ground. The correct momentum - height (p - h) diagram is:(Given p=mv)

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$v^2=u^2-2gh$
or $v=\sqrt{u^2-2gh}$
Momentum, p = mv
$\therefore p=m\sqrt{u^2-2gh}$

Therefore graph between p and h cannot be a straight line.
(b) and (c) are not possible.
During upward journey as h increases, p decreases and in downward journey as h decreases p increases.
Therefore (d) is the correct option.