College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 9, Problem 67GP
A solid, uniform hall rolls without slipping up a hill as shown in Figure 9.39. At the top of the hill, it is moving horizontally; then it goes over the vertical cliff. (a) How far from the foot of the cliff does the ball land, and how fast is it moving just before it lands? (b) Notice that when the ball lands, it has a larger translational speed than it had at the bottom of the hill. Does this mean that the ball somehow gained energy by going up the hill? Explain!
Figure 9.39 Problem 67.
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80, 29.6, Now let's consider the tangential and radial
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Find the radial and tangential components of
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Figure
atan
arad
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SOLUTION
SET UP As shown in (Figure 2), we model the thrower's arm as a rigid body, so r is constant (this may not be completely realistic). We model
the discus as a particle moving in a circular path.
SOLVE The components of the acceleration are given by
The magnitude of the acceleration vector is
Part A Practice Problem:
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ΑΣΦ
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ra =
(0.80m) (50rad/s²) = 40 m/s²
a =
REFLECT The magnitude of the acceleration is about nine times the acceleration due to gravity; the corresponding force supplied by the
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Chapter 9 Solutions
College Physics (10th Edition)
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