A 525-g book is placed on a wooden plank which is at an angle of 35.0° to the horizontal. After the book is released, it is measured to slide down the plank with an acceleration of 2.56 m/s2.

(a) Calculate the coefficient of kinetic friction between the book and the plank.
(b) If the book was released from rest, calculate the work done by gravity after it has moved down the plank a distance of 55.0 cm.
(c) If the book was released from rest, calculate the work done by friction after it has moved down the plank a distance of 55.0 cm.

1 answer

m = 0.525 kg
weight = w = m*g Newtons
normal force = m g cos 35
weight component down ramp =m g sin 35
friction up ramp = mu * m g cos 35
m a = m * 2.56 = m g sin 35 - mu m g cos 35
mu = ( g sin 35 - 2.56)/ (g cos 35)

b) m g *change in altitude = m g * 0.55 sin 35

c) mu * m g cos 35 * 0.55