Answered: stacked pair of books with masses m1=…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

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Question

A stacked pair of books with masses m₁= 2.0 kg (bottom book) and m₂ = 1.5 kg (top book) are tossed onto a table. The books strike the table with no vertical velocity and their common horizontal speed is ?_o = 0.75 m/s.
The kinetic friction coefficient between the bottom book and the table is ?_k1=0.45; the kinetic and static
friction coefficients between the two books are ?_k2=0.3 and ?_s2= 0.4. Find the final horizontal
position of each book relative to the spot where the stack hits the table.

Expert Solution

Step 1

The normal force exerted by the table on the first bolook N₁= its weight = mg= 2×10=20 N .

Similarly N₂= 1.5×10=15 N .

So frictional forces f₁=k₁N₁= 0.45 ×20 = 9 N .

So f₂= k₂N₂= 0.3×15 = 4.5 N .

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