College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Textbook Question
Chapter 5, Problem 24P
Two blocks are connected by a light string that passes over two frictionless pulleys as in Figure P5.24. The block of mass m2 is attached to a spring of force constant k and m1 > m2. If the system is released from rest, and the spring is initially not stretched or compressed, find an expression for the maximum displacement d of m2.
Figure P5.24
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The spring has a force constant of 5000 N/m, the block has a mass of 6.20 kg, and the height of the hill is 5.25 m.
A. Determine the compression of the spring such that the block just makes it to the top of the hill. Assume that there is no friction along the whole path.
B. What coefficient of friction is needed along the horizontal plane (of length 2.75m) if the block is to reach only midway up the hill?
C. In the same case as (B) where friction is present, at what height along the hill will the speed be 6m/s?
Wnet = m(v₁)² = m(v₁)², Wnet = Σ₁ W₁, W = Fd cos 0
Problem 1:
A 2.0 kg box slides on a floor. A friction force of 5.0 N opposes the motion. If the box starts with
a speed of 5.5 m/sec, how far does is slide before coming to rest? Answer: d = 6.1 m
Problem 2:
What is the force a 60.0 kg sprinter exerts backward on the track to accelerate from 2.00 m/sec
to 8.00 m/sec in a distance of 25.0 m, if they encounter a wind that exerts an average force of
30.0 N against them?
Hint: Wnet = Wrunner - Wwind. Answer: Frunner: = 102.0 N
Problem 3:
A 500-kg dragster accelerates from rest to a final speed of 110 m/sec in 400 m (about a quarter
of a mile) and encounters an average frictional force of 1200 N. What is the work done by the
dragster? Hint: Wnet = Wdragster - Wfriction. Answer: Wdragster = 3.5 × 106 J
A) A1.2 kg block slides down a frictionless incline with a slope angle of 42", starting
from a height h =3.2 m above the bottom of the incline, as shown in Figure (2). The
incline meets a frictionless horizontal surface, at the end of which is a spring in its
equilibrium position (k 460 N/m) used to stop the block. Find the maximum
compression of the spring.
Chapter 5 Solutions
College Physics:
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