A cricket ball of mass 0.25 kg with speed 10 m/s-1 collides with a bat and returns with same speed within 0.01 s. The force acted on bat is

Question

A cricket ball of mass 0.25 kg with speed 10 m/s-1 collides with a bat and returns with same speed within 0.01 s. The force acted on bat is (A) 25 N (B) 50 N (C) 250 N (D) 500 N

Tardigrade Admin · Accepted Answer

We have the cricket ball having a mass of

0.25 k g

and moving with a speed of

10 m / s

,
so the change in momentum would be equal to

Δ p = 2 m v = 2 \times 0.25 \times 10 = 5 k g - m / s

and
thus the force would be equal to

F = \frac{Δ p}{Δ t} = \frac{5}{0.01} = 500 N

Q. A cricket ball of mass $0.25 k g$ with speed $10 m / s^{- 1}$ collides with a bat and returns with same speed within $0.01 s$ . The force acted on bat is

$25 N$

$50 N$

$250 N$

$500 N$

We have the cricket ball having a mass of $0.25 k g$
and moving with a speed of $10 m / s$ ,
so the change in momentum would be equal to
$Δ p = 2 m v = 2 \times 0.25 \times 10 = 5 k g - m / s$ and
thus the force would be equal to
$F = \frac{Δ p}{Δ t} = \frac{5}{0.01} = 500 N$

Q. A cricket ball of mass 0.25kg with speed 10m/s−1 collides with a bat and returns with same speed within 0.01s. The force acted on bat is

25N

50N

250N

500N