Question

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 :

• A. Impulse and average force acting on the object will be same for both the cases.
• B. Impulse will be same for both the cases but the average force will be different.
• C. Average force will be same for both the cases but the impulse will be different.
• D. Average force and impulse will be different for both the cases.

Answer 1

Answer: (B)

Impulse $=$ change in momentum
$I =\Delta P$
$ F _{\text {aug }}=\frac{\Delta P }{\Delta t } $
$ \Delta t _1=3 \,\,\, \Delta t _2=5$
$ \Delta P _1=\Delta P _2 $
$ I _1= I _2$
$F _{\text {avg }}$ in case (i) is more than (ii)