Question

A ball of mass $50$ g at rest is hit by a bat and the ball covers $400$ m in $2$ s. If the ball was in contact with the bat for $0.1$ s, find the magnitude of the force applied on it. Assume that no other force acts on the ball after it hits by the bat.

• A. $1000$ N
• B. $100$ N
• C. $2500$ N
• D. $150$ N

Answer 1

The correct option is B $100$ N

$M_B=50g$

$S=400m$

$t=2s$

$S=Ut$

$400=2\times U$

$U=200m/s$

By newton second law

$\frac{△p}{△t}=F_{applied}$

$△p=m_B{U}_2-m_B{U}_1$

$U_1=0$

$△p=200\times 50\times {10}^{-3}$

$=10N$

time of contact $=0.1sec$

$\frac{△p}{△t}=F$

$F=\frac{10}{0.1}=100N$