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

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Solution

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

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

The correct option is D From second law of motion, we know F=Change in momentumtime If v is the constant velocity attained by the body. Then, F=(mv)−(0)t (∵ intially body is at rest) From above equation, we can say that F∝1t Hence, the graph is a rectangular hyperbola

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