How far does the book slide? At the highest point does the book stick to the slo

Question

How far does the book slide?
At the highest point does the book stick to the slope or slide back down?

https://session.masteringprysics.con'/myct/ Physics with Calculus I, Spring Term 16 ASSIGNMENT 07 CHAPTER 07 ANALYTICAL Problem 7.43 egg home / study Problem 7.43 Part A The 1.5 kg physics book in figure is connected by a string to a 250 g coffee cup. The book is How far does the uestio given a push up the slope and released with a Express your ar speed of 3.5 m/s. The coefficients of friction are = 0.50 and .-0.20. The 1.5H The book coefficierlL[Figure 1 A)How fa B)At the (Eigure 1) Value -of1 Vatue Submit Part B Hide comme At the highest poi Commer stick to the O slide back d Submit

Explanation / Answer

delta x = v02 / 2 a

a = [mB g (sin theta + muk cos theta) + mC g] / [mB + mC]

= [1.5 * 9.8 (sin 20 + 0.2 cos 20) + 0.250 * 9.8] / [1.5 + 0.250]

= 5.85 m/s2

delta x = 3.52 / (2 * 5.85)

= 1.05 m

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Fmax= 0.5 * 1.5 * 9.8* cos 20 = 6.91 N

T = mC g = 0.25 * 9.8 = 2.45 N

mB g sin theta = 1.5 * 9.8 * sin 20 = 5.02 N

the book will slide back down the incline

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