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In two different experiments, an object of mass $5\; kg$ moving with a speed of $25\; ms ^{-1}$ hits two different walls and comes to rest within
$(i)$ $3$ second, $(ii)$ $5$ seconds, respectively.
Choose the correct option out of the following :
Impulse and average force acting on the object will be same for both the cases.
Impulse will be same for both the cases but the average force will be different.
Average force will be same for both the cases but the impulse will be different.
Average force and impulse will be different for both the cases.
Solution
Impulse = change in momentum
$I=\Delta P$
$F _{\text {aug }}=\frac{\Delta P }{\Delta t }$
$\Delta t _{1}=3 \quad \Delta t _{2}=5$
$\Delta P _{1}=\Delta P _{2}$
$I _{1}= I _{2}$
$F _{\text {avg }}$ in case $(i)$ is more than $(ii)$