College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 10, Problem 7PE
A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s2.
(a) How long does it take to come to rest?
(b) How many revolutions does it make before stopping?
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As shown in the figure, a 0.580 kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a
vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is VA = 13.0 m/s, and the object experiences an average frictional force of 7.00 N while sliding up the track.
R
(a) What is x?
m
A
(b) If the object were to reach the top of the track, what would be its speed (in m/s) at that point?
m/s
(c) Does the object actually reach the top of the track, or does it fall off before reaching the top?
O reaches the top of the track
O falls off before reaching the top
○ not enough information to tell
A block of mass 1.4 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest.
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a
F
x = 0
0
b
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(a) A constant friction force of 4.4 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum.
ст
(b) Explore the effect of an increased friction force of 13.0 N. At what position of the block does its maximum speed occur in this situation?
cm
You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have
designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down.
Total force (N)
2000
1500
1000
500
Distance (cm)
10 20 30 40 50 60
i
Both springs are described by Hooke's law and have spring constants k₁ = 1,900 N/m and k₂ = 2,700 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in the figure. When the spring with
spring constant k₂ compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical…
Chapter 10 Solutions
College Physics
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