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# While rolling balls down an inclined plane, Galileo ISBN: 9780321909107 29

## Solution for problem 34E Chapter 3

Conceptual Physics | 12th Edition

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Problem 34E

While rolling balls down an inclined plane, Galileo observes that the ball rolls 1 cubit (the distance from elbow to fingertip) as he counts to 10. How far will the ball have rolled from its starting point when he has counted to 20?

Step-by-Step Solution:

Solution 34E Step 1: In this question a ball in rolling down an inclined plane, which rolls down a distance of 1 cubit for 10 counts, we need to find the the distance travelled by the ball when the time us twice its initial time , that is after 20 counts Step 2 : Let us consider the data given Distance travelled d =11 cubit Time taken t = 10 counts 1 Acceleration down inclined plane a We need to find distance d = 2 after time t = 202counts Distance is given by d = a×t2 2 For initial 10 counts distance travelled is 2 a×(1 ) d 1 2 = 1 cubit ------------(1) For 20 counts distance travelled is 2 d = a×(2×1 ) 2 2 a×t ×(2 ) d = 1 ---------------(2) 2 2 a×(t ) From equation (1) we know 2 = d 1 , let us substitute this value in equation (2) 2 d2= d ×12 Again substitute for 1 = 1 cubit d = 1 cubit × 4 2 d2= 4 cubit

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##### ISBN: 9780321909107

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