Question

A cricket ball of mass $0.25kg$ with a speed of $10m/s$ collides with a bat and returns with the same speed within $0.01s$. The force acted on the bat is

• A. $25N$
• B. $50N$
• C. $250N$
• D. $500N$

Answer 1

The correct option is D

$500N$

Step 1: Given Data:

Mass of ball, $m=0.25kg$

Speed, $v=10m/s$

Time, $t=0.01s$

Step 2: Formula Used:

As the ball return with the same velocity, change in momentum is given by,

$∆p=2mv$

Where, $∆p=$ change in momentum

$m=$ mass of object

$v=$ speed of object

$F=\frac{∆p}{∆t}$

Where, $F=$ Force

$∆t=$ time

Step 3: Calculating the force:

$∆p=2\times 0.25\times 10$

$=5kg-m/s$

$F=\frac{∆p}{∆t}$

$=\frac{5}{0.01}$

$=500N$

Hence, option D is the correct answer.