Answer:
2639 N
Explanation:
The impulse on the baseball is given by:
[tex]I=F \Delta t[/tex] (1)
where F is the force exerted on the ball and [tex]\Delta t[/tex] the contact time between the bat and the ball.
The impulse is also equal to the change in momentum of the ball:
[tex]I=\Delta p = m (v-u)[/tex] (2)
where m is the ball's mass, v is its final velocity, u is its initial velocity.
By using (1) and (2) simultaneously we can write an expression for F, the force exerted on the ball:
[tex]F=\frac{m(v-u)}{\Delta t}[/tex]
where:
m = 0.145 kg
u = 35.0 m/s
v = -56.0 m/s
[tex]\Delta t=5.00 \cdot 10^{-3}s[/tex]
Substituting,
[tex]F=\frac{(0.145 kg)((-56.0 m/s)-35.0 m/s)}{5.00\cdot 10^{-3} s}=-2639 N[/tex]
and the negative sign means that the force is simply in the opposite direction to the ball's initial direction.
