If drag produces an opposing force of 10 N while the ball's falling, what is the ball's speed, vf in m/s, when it strikes the ground? Assume the ball has a mass of 5 kg.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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If drag produces an opposing force of 10 N while the ball's falling, what is the ball's speed, vf in m/s, when it strikes the ground? Assume the ball has a mass of 5 kg. 

 

Expert Solution
Step 1

There should be value of height H mentioned in the question. Since it is not given, let us take it as h.

The ball has its weight acting vertically downwards and the drag force 10 N acting vertically upward. We equate the forces in the vertical direction to find the resultant acceleration.

The velocity of a ball dropped from a certain height experiencing an acceleration a is given by

v = 2ah, where

a = the net acceleration experienced by the body,

h = height from which the ball is dropped.

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