Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 5, Problem 56P
(a)
To determine
The tension in the string.
(b)
To determine
The radial force on the puck.
(c)
To determine
The speed of the puck.
(d)
To determine
The effect on the motion of the puck if
(e)
To determine
The effect on the motion of the puck if
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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
h
m
a
d
T
b
(a) Find the speed of the ball just as it touches the spring.
m/s
(b) Find the force constant of the spring.
kN/m
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to
support any additional load. Suppose the leaf spring constant is 5.05 × 105 N/m, the helper spring constant is 3.50 x 105 N/m, and y = 0.500 m.
Truck body
yo
Main leaf
spring
-"Helper"
spring
Axle
(a) What is the compression of the leaf spring for a load of 6.00 × 105 N?
m
(b) How much work is done in compressing the springs?
]
A block of mass m₁
=
10.0 kg is connected to a block of mass m₂
34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
Vm1
×
1.32
Vm2
= 1.32
×
m/s
m/s
Chapter 5 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 5.1 - You press your physics textbook flat against a...Ch. 5.1 - A crate is located in the center of a flatbed...Ch. 5.1 - You are playing with your daughter in the snow....Ch. 5.2 - You are riding on a Ferris wheel (Fig. 5.8) that...Ch. 5.3 - Which of the following is impossible for a car...Ch. 5.3 - A bead slides freely along a curved wire lying on...Ch. 5.4 - Consider a sky surfer falling through air, as in...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - The manager of a department store is pushing...Ch. 5 - An object of mass m moves with acceleration a down...
Ch. 5 - An office door is given a sharp push and swings...Ch. 5 - Prob. 5OQCh. 5 - A pendulum consists of a small object called a bob...Ch. 5 - A door in a hospital has a pneumatic closer that...Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - A child is practicing for a BMX race. His speed...Ch. 5 - A large crate of mass m is placed on the flatbed...Ch. 5 - Before takeoff on an airplane, an inquisitive...Ch. 5 - Prob. 12OQCh. 5 - As a raindrop falls through the atmosphere, its...Ch. 5 - An object of mass m is sliding with speed vi at...Ch. 5 - A car is moving forward slowly and is speeding up....Ch. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - It has been suggested that rotating cylinders...Ch. 5 - Prob. 12CQCh. 5 - Why does a pilot tend to black out when pulling...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - The person in Figure P5.6 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Prob. 8PCh. 5 - A 3.00-kg block starts from rest at the top of a...Ch. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Two blocks connected by a rope of negligible mass...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Why is the following situation impossible? Your...Ch. 5 - Prob. 16PCh. 5 - A light string can support a stationary hanging...Ch. 5 - Why is the following situation impossible? The...Ch. 5 - A crate of eggs is located in the middle of the...Ch. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - A roller coaster at the Six Flags Great America...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - A pail of water is rotated in a vertical circle of...Ch. 5 - Prob. 27PCh. 5 - A child of mass m swings in a swing supported by...Ch. 5 - Prob. 29PCh. 5 - (a) Estimate the terminal speed of a wooden sphere...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - A 9.00-kg object starting from rest falls through...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Consider the three connected objects shown in...Ch. 5 - A car rounds a banked curve as discussed in...Ch. 5 - Prob. 45PCh. 5 - An aluminum block of mass m1 = 2.00 kg and a...Ch. 5 - Figure P5.47 shows a photo of a swing ride at an...Ch. 5 - Why is the following situation impossible? A...Ch. 5 - A space station, in the form of a wheel 120 m in...Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - In Example 6.5, we investigated the forces a child...Ch. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Why is the following situation impossible? A book...Ch. 5 - A single bead can slide with negligible friction...Ch. 5 - An amusement park ride consists of a large...Ch. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - If a single constant force acts on an object that...
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- A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched. m/s Vm1 Vm2 m/s mi m2 k iarrow_forwardTruck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to support any additional load. Consider a leaf spring constant of 5.45 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y = 0.500 m. Truck body Dyo Axle (a) What is the compression of the leaf spring for a load of 4.90 × 105 N? m (b) How much work is done compressing the springs? ]arrow_forwardA skier of mass 75 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 50 m up a 30° slope (assumed frictionless) at a constant speed of 2.8 m/s? KJ (b) What power (expressed in hp) must a motor have to perform this task? hparrow_forward
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