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  4. A ball of mass 0.15 kg hits the wall with its initial speed of 12 ms -1 and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is 100 N. calculate the time duration of the contact of ball with the wall.

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Q. A ball of mass $0.15 \,kg$ hits the wall with its initial speed of $12 \,ms ^{-1}$ and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is $100\, N$. calculate the time duration of the contact of ball with the wall.

JEE MainJEE Main 2022Electrostatic Potential and Capacitance

Solution:

$ \overrightarrow{ P }_{ i }=0.15 \times 12(\hat{ i })$
$ \overrightarrow{ P }_{ r }=0.15 \times 12(-\hat{ i }) $
$|\overrightarrow{\Delta P }|=3.6\, kg - m / s $
$ 3.6= F \Delta t$
$ 3.6=100 \Delta t$
$ \Delta t =0.036 \sec $