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A ping pong ball is rolling across a table at 22 cm/s. When the ball is 78 m away from the edge your little brother starts to b...Asked by sara
A ping pong ball is rolling across a table at 2.1 cm/s. When the ball is 1.32 m away from the edge your little brother starts to blow on it. If the little doofus hopes to prevent the ball from falling off the edge, what minimum acceleration must be achieved?
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Answered by
Scott
the final velocity of the ball must be zero at the edge of the table (after 1.32 m of travel)
the average velocity is initial plus final,divided by two
v = (2.1 cm/s + 0 cm/s) / 2 = 1.05 cm/s
the time to stop the ball is the distance divided by the velocity
t = 132 cm / 1.05 cm/s = 126 s
the necessary acceleration is the change in velocity divided by the time
a = -2.1 cm/s / 126 s
the average velocity is initial plus final,divided by two
v = (2.1 cm/s + 0 cm/s) / 2 = 1.05 cm/s
the time to stop the ball is the distance divided by the velocity
t = 132 cm / 1.05 cm/s = 126 s
the necessary acceleration is the change in velocity divided by the time
a = -2.1 cm/s / 126 s
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