The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body.
A ball of mass `250 g` is thrown with a speed of `30 m//s`. The ball strikes a bat and it is hit straight back along the same line at a speed of `50 m//s`. Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig.

Maximum force exerted by the bat on the ball is

Options

A. `5000N`
B. `1250N`
C. `2500N`
D. `7500N`

Answer

C

Explanation

`intFdt=/_\p`
`F_(v)=(/_\p)/intdt=(250xx10^(-3)(50+30))/(8xx10^(-3))=(250xx80)/8`
`=F_(v)=2500N`