College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 5, Problem 51P
A 3.50-kN piano is lilted by three workers at constant speed to an apartment 25.0 m above the street using a pulley system fastened to the roof of the building. Each worker is able to deliver 165 W of power, and the pulley system is 75% efficient (so that 25% of the mechanical energy is lost due to friction in the pulley). Neglecting the mass of the pulley, find the time required to lift the piano from the street to the apartment.
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A block of mass m = 2.50 kg situated on an incline at an angle of
k=100 N/m
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50.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (Fig. P8.54). The pulley and incline are frictionless. The block is released from rest with the spring initially unstretched.
Ө
m
i
(a) How far does it move down the frictionless incline before coming to rest?
m
(b) What is its acceleration at its lowest point?
Magnitude
m/s²
Direction
O up the incline
down the incline
(a) A 15.0 kg block is released from rest at point A in the figure below. The track is frictionless except for the portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2,100 N/m, and compresses the spring 0.250 m
from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and C.
-A
3.00 m
B
C
-6.00 m
i
(b) What If? The spring now expands, forcing the block back to the left. Does the block reach point B?
Yes
No
If the block does reach point B, how far up the curved portion of the track does it reach, and if it does not, how far short of point B does the block come to a stop? (Enter your answer in m.)
m
A ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses
during the collision, find the following.
т
m
a
d
T
m
b
i
(a) Find the speed of the ball just as it touches the spring.
3.34
m/s
(b) Find the force constant of the spring.
Your response differs from the correct answer by more than 10%. Double check your calculations. kN/m
Chapter 5 Solutions
College Physics
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