Question

In all parts, consider the following situation. In a baseball game the batter swings and gets a good solid hit. His swing applies a force of 12,000 N to the ball for a time of 0.70x10^-3 seconds.
A) Assuming that this force is a constant, what is the magnitude J of the impulse on the ball.
B) What is the the shape of the net force vs. time graph?
C) Why is the graph that shape?

Answer 1

Explanation:

It is given that,

Force applied by the swing, F = 12000 N

Time taken, $t=0.7\times 10^{-3}\ s$

(a) Let J is the magnitude of impulse on the ball. It is equal to the product of force and the time taken. Its formula is given by :

$J=F\times t$

$J=12000\ N\times 0.7\times 10^{-3}\ s$

J = 8.4 Nm

(b) The shape of net force versus time graph has rectangular shape.

(c) The graph rectangular shape because area under this graph gives the magnitude of impulse.