Foundations of Astronomy
13th Edition
ISBN: 9781305079151
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 24, Problem 16RQ
How are the atmospheres of Earth and Triton similar?
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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 24 Solutions
Foundations of Astronomy
Ch. 24 - Why didnt ancient astronomers know of Uranuss...Ch. 24 - Describe the location of the equinoxes and...Ch. 24 - Prob. 3RQCh. 24 - Prob. 4RQCh. 24 - Why is belt-zone circulation difficult to detect...Ch. 24 - Prob. 6RQCh. 24 - Prob. 7RQCh. 24 - Describe four characteristics in common among all...Ch. 24 - Describe four differences between the two ice...Ch. 24 - Prob. 10RQ
Ch. 24 - What are hypotheses for the origin of the rings of...Ch. 24 - How do the characteristics of Uranuss and Neptunes...Ch. 24 - If Uranus and Neptune had no satellites at all,...Ch. 24 - Why might the surface brightness of ring particles...Ch. 24 - Both Uranus and Neptune have a blue-green tint...Ch. 24 - How are the atmospheres of Earth and Triton...Ch. 24 - Prob. 17RQCh. 24 - When Neptune was discovered, how was its position...Ch. 24 - How can small worlds like Triton and Pluto have...Ch. 24 - Why do you suspect that Triton had a geologically...Ch. 24 - If you visited the surface of Pluto and found...Ch. 24 - What evidence can you give that Pluto and Charon...Ch. 24 - Why was Pluto reclassified as a dwarf planet?Ch. 24 - How was the discovery of Neptune not accidental?Ch. 24 - Prob. 1DQCh. 24 - Suggest a single phenomenon that could explain the...Ch. 24 - Prob. 3DQCh. 24 - Prob. 4DQCh. 24 - Prob. 5DQCh. 24 - What is the maximum angular diameter of Uranus as...Ch. 24 - One way to recognize a distant planet is by...Ch. 24 - What is the orbital velocity of Miranda around...Ch. 24 - Calculate Uranuss Roche radius. Are all of Uranuss...Ch. 24 - Prob. 5PCh. 24 - What is the escape velocity from the surface of an...Ch. 24 - What is the difference in the orbital velocities...Ch. 24 - Repeat Problem 2 for Pluto. In other words,...Ch. 24 - Given the size of Tritons orbit (r = 355,000 km)...Ch. 24 - Prob. 1LTLCh. 24 - Prob. 2LTLCh. 24 - Compare the interior cutaway sketches of the four...Ch. 24 - Prob. 4LTLCh. 24 - Review Figure 21-11. Which molecules can Triton...Ch. 24 - The image to the left shows how Uranus would look...
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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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