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A small book of mass m is held on a rough straight desk lid which is inclined at an angle to the horizontal, where tan

A small book of mass m is held on a rough straight desk lid which is inclined at an

angle to the horizontal, where tan = 3/4 . The book is released from rest at a distance

of 0.5 m from the edge of the desk lid, as shown in Figure 1. The book slides down the desk lid and then hits the floor that is 0.8 m below the edge of the desk lid. The coefficient of friction between the book and the desk lid is 0.4

The book is modelled as a particle which, after leaving the desk lid, is assumed to move freely under gravity.

(a) Find, in terms of m and g, the magnitude of the normal reaction on the book as it slides down the desk lid. (2)

(b) Use the work-energy principle to find the speed of the book as it hits the floor. (5

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