The Cosmic Perspective
7th Edition
ISBN: 9780321839558
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: Addison-Wesley
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Chapter 3, Problem 7EAP
What was the Copernican revolution, and how did it change the human view of the universe?
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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 3 Solutions
The Cosmic Perspective
Ch. 3 - Prob. 1VSCCh. 3 - Use the following questions to check your...Ch. 3 - Use the following questions to check your...Ch. 3 - Use the following questions to check your...Ch. 3 - Use the following questions to check your...Ch. 3 - Prob. 6VSCCh. 3 - Prob. 7VSCCh. 3 - Prob. 1EAPCh. 3 - Why did ancient peoples study astronomy? Describe...Ch. 3 - Describe the astronomical origins of our day,...
Ch. 3 - What is a lunar calendar? How can it be kept...Ch. 3 - What do we mean by a model in science?Ch. 3 - Summarize the development of the Greek geocentric...Ch. 3 - What was the Copernican revolution, and how did it...Ch. 3 - 8. What is an ellipse? Define its foci, semimajor...Ch. 3 - 9. State and explain the meaning of each of...Ch. 3 - Describe the three hallmarks of science and how we...Ch. 3 - 11. What is the difference between a hypothesis...Ch. 3 - What is the basic idea behind astrology? Explain...Ch. 3 - Science or Nonscience? Each of the following...Ch. 3 - Science or Nonscience? Each of the following...Ch. 3 - Science or Nonscience?
Each of the following...Ch. 3 - Science or Nonscience?
Each of the following...Ch. 3 - Science or Nonscience?
Each of the following...Ch. 3 - Science or Nonscience? Each of the following...Ch. 3 - Science or Nonscience? Each of the following...Ch. 3 - Science or Nonscience?
Each of the following...Ch. 3 - Science or Nonscience?
Each of the following...Ch. 3 - Science or Nonscience? Each of the following...Ch. 3 - In the Greek geocentric model, the retrograde...Ch. 3 - Which of the following was not a major advantage...Ch. 3 - When we say that a planet has a highly eccentric...Ch. 3 - Earth is closer to the Sun in January than in...Ch. 3 - According to Kepler’s third law, (a) Mercury...Ch. 3 - Tycho Brahe’s contribution to astronomy included...Ch. 3 - Galileo’s contribution to astronomy included (a)...Ch. 3 - Which of the following is not true about...Ch. 3 - Which of the following is not true about a...Ch. 3 - When Einstein’s theory of gravity (general...Ch. 3 - Prob. 33EAPCh. 3 - Earth’s Shape. It took thousands of years for...Ch. 3 - Prob. 35EAPCh. 3 - Prob. 36EAPCh. 3 - Prob. 37EAPCh. 3 - Prob. 38EAPCh. 3 - Prob. 39EAPCh. 3 - Prob. 40EAPCh. 3 - Prob. 41EAPCh. 3 - Prob. 42EAPCh. 3 - Prob. 43EAPCh. 3 - Prob. 44EAPCh. 3 - Be sure to show alt calculations clearly and state...Ch. 3 - Prob. 46EAPCh. 3 - Be sure to show alt calculations clearly and state...Ch. 3 - Prob. 48EAPCh. 3 - Prob. 49EAPCh. 3 - Prob. 50EAPCh. 3 - Prob. 51EAPCh. 3 - Prob. 52EAPCh. 3 - Prob. 53EAPCh. 3 - Prob. 54EAPCh. 3 - Prob. 55EAPCh. 3 - Prob. 56EAPCh. 3 - Prob. 57EAPCh. 3 - Prob. 58EAP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 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
- 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. a x = 0 x b (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. cm (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? cmarrow_forwardA block of mass m = 3.00 kg situated on a rough incline at an angle of 0 = 37.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (see the figure below). The pulley is frictionelss. The block is released from rest when the spring is unstretched. The block moves 11.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline. k=100 N/m Ө marrow_forward23. What is the velocity of a beam of electrons that goes undeflected when passing through perpendicular electric and magnetic fields of magnitude 8.8 X 103 V/m and 7.5 X 10-3 T. respectively? What is the radius of the electron orbit if the electric field is turned off?arrow_forward
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