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<p>A 10 kg bowling ball is slowing down at a constant rate.&#160; In two seconds

ID: 1961974 • Letter: #

Question

<p>A 10 kg bowling ball is slowing down at a constant rate.&#160; In two seconds, its velocity drops from 5 m/s to 4.8 m/s.&#160; What is the total force acting on the ball, in N?</p>
<p>Variables: M= mass= 10kg</p>
<p>&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160; a = acceleration= 4.8 m/s^2</p>
<p>&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;F = force acting = ? N</p>
<p>Relationships: m = (10kg)(4.8m/s^2)=48N</p>

Explanation / Answer

Mass of the ball m = 10 kg Initial velocity of the ball vi = 5 m/s Final velocity of the ball vf = 4.8 m/s The time taken to change velocity t = 2s From equations of motion                       vf = vi + at then the acceleration                        a = vf - vi / t                           = [4.8 m/s - 5 m/s] / 2 s                           = -0.1 m/s2 Here negative sign indicates deceleration direction of acceleration is opposite to diremotion Therefore the net force acting on the ball                        F = ma                            = (10 kg) (0.1 m/s2 )                            = 1N

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