A 0.145- kg baseball with an initial speed of 29 m/s rebounds with a speed of 36 m/s after being struck with a bat. If the duration of contact between ball and bat was 1.8 ms, what was the magnitude of the average force between ball and bat?

Respuesta :

Answer:

The average force between ball and bat, F = 5236.11 N

Explanation:

Given that,

Mass of the baseball, m = 0.145 kg

Initial speed of the baseball, u = 29 m/s

Final speed of the ball, v = -36 m/s (negative as it rebounds)

Time, [tex]t=1.8\ ms=1.8\times 10^{-3}\ s[/tex]

Let J is the impulse imparted by the ball. It is equal to the change in momentum as :

[tex]J=m(v-u)=Ft[/tex]

[tex]F=\dfrac{m(v-u)}{t}[/tex]

[tex]F=\dfrac{0.145\times (-36-29)}{1.8\times 10^{-3}}[/tex]

F = -5236.11 N

|F| = 5236.11 N

So, the magnitude of the average force between ball and bat is 5236.11 N. Hence, this is the required solution.