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**Unformatted text preview: **If a 45.0-kg child sits on the horizontal ﬂoor of
the merry-go-round 3.00 m from the center, ﬁnd (a) the
child’s acceleration and (b) the horizontal force of friction that acts on the child. (c) What minimum coefﬁcient of static friction is necessary to keep the child
from slipping? 25. A 0.500-kg object is suspended from the ceiling of an
accelerating boxcar as was seen in Figure 6.13. If a
3.00 m/s2, ﬁnd (a) the angle that the string makes with
the vertical and (b) the tension in the string.
26. The Earth rotates about its axis with a period of 24.0 h.
Imagine that the rotational speed can be increased. If
an object at the equator is to have zero apparent weight,
(a) what must the new period be? (b) By what factor
would the speed of the object be increased when the
planet is rotating at the higher speed? (Hint: See Problem 53 and note that the apparent weight of the object
becomes zero when the normal force exerted on it is
zero. Also, the distance traveled during one period is
2 R, where R is the Earth’s radius.)
27. A person stands on a scale in an elevator. As the elevator
starts, the scale has a constant reading of 591 N. As the
elevator later stops, the scale reading is 391 N. Assume
the magnitude of the acceleration is the same during
starting and stopping, and determine (a) the weight of
the person, (b) the person’s mass, and (c) the acceleration of the elevator.
28. A child on vacation wakes up. She is lying on her back.
The tension in the muscles on both sides of her neck is
55.0 N as she raises her head to look past her toes and
out the motel window. Finally, it is not raining! Ten minutes later she is screaming and sliding feet ﬁrst down a
water slide at a constant speed of 5.70 m/s, riding high
on the outside wall of a horizontal curve of radius 2.40 m
(Fig. P6.28). She raises her head to look forward past
her toes; ﬁnd the tension in the muscles on both sides
of her neck. 176 CHAPTER 6 Circular Motion and Other Applications of Newton’s Laws 40.0 m/s
20.0 m 40.0° 620 kg Figure P6.34 Figure P6.28
35.
29. A plumb bob does not hang exactly along a line directed to the center of the Earth, because of the Earth’s
rotation. How much does the plumb bob deviate from a
radial line at 35.0° north latitude? Assume that the
Earth is spherical. 36. (Optional) Section 6.4 Motion in the Presence of Resistive Forces 30. A sky diver of mass 80.0 kg jumps from a slow-moving
aircraft and reaches a terminal speed of 50.0 m/s.
(a) What is the acceleration of the sky diver when her
speed is 30.0 m/s? What is the drag force exerted on
the diver when her speed is (b) 50.0 m/s? (c) 30.0 m/s?
31. A small piece of Styrofoam packing material is dropped
from a height of 2.00 m above the ground. Until it
reaches terminal speed, the magnitude of its acceleration is given by a g bv. After falling 0.500 m, the
Styrofoam effectively reaches its terminal speed, and
then takes 5.00 s more to reach the ground. (a) What is
the value of the consta...

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