In t-ball, young players use a bat to hit a stationary ball off a stand. The 140 g ball has about the same mass as a baseball, but it is lar

Question

In t-ball, young players use a bat to hit a stationary ball off a stand. The 140 g ball has about the same mass as a baseball, but it is larger and softer. In one hit, the ball leaves the bat at 12 m/s after being in contact with the bat for 2.0 ms . Assume constant acceleration during the hit.

a. What is the acceleration of the ball?
b. What is the net force on the ball during the hit?

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Thái Dương 5 years 2021-08-30T16:44:24+00:00 1 Answers 23 views 0

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  1. thanhha
    0
    2021-08-30T16:46:17+00:00
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    Answer:

    a) a_{ball} = 6000\,\frac{m}{s^{2}}, b) F = 840\,N

    Explanation:

    a) The physical system for the ball is modelled after the Impulse Theorem. The Impulse to accelerate the ball is:

    Imp =m_{ball}\cdot v_{f}

    Imp = (0.14\,kg)\cdot (12\,\frac{m}{s})\\Imp = 1.68\,N\cdot s

    The acceleration of the ball is derived as follows:

    a_{ball}=\frac{Imp}{m_{ball}\cdot\Delta t}

    a_{ball} = \frac{1.68\,N\cdot s}{(0.14\,kg)\cdot(2\times 10^{-3}\,s)}

    a_{ball} = 6000\,\frac{m}{s^{2}}

    b) The net forced is obtained by the use of the concept of force for a system with a constant mass:

    F = (0.14\,kg)\cdot(6000\,\frac{m}{s^{2}} )

    F = 840\,N

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