Question

An impulse acts on a body of constant mass$\left(m\right)$ initially at rest. If it travels with constant velocity afterwards, which graph represents the variation of force$\left(F\right)$ with time during the time impulse was acting.

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

From second law of motion, we know
$F=\frac{\text{Change in momentum}}{\text{time}}$
If $v$ is the constant velocity attained by the body. Then,
$F=\frac{\left(mv\right)-\left(0\right)}{t}$ $(\because$ intially body is at rest)
From above equation, we can say that $F\propto \frac{1}{t}$
Hence, the graph is a rectangular hyperbola