The Essential Cosmic Perspective (8th Edition)
8th Edition
ISBN: 9780134446431
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 15, Problem 16EAP
We did not understand the true size and shape of our galaxy until NASA launched satellites into the galactic halo, enabling us to see what the Milky Way looks like from the outside.
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(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.
3.00 m
-A
B
C
-6.00 m
(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
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?
]
Chapter 15 Solutions
The Essential Cosmic Perspective (8th Edition)
Ch. 15 - Prob. 1VSCCh. 15 - Prob. 2VSCCh. 15 - Prob. 3VSCCh. 15 - Prob. 4VSCCh. 15 - Prob. 5VSCCh. 15 - Prob. 6VSCCh. 15 - Prob. 1EAPCh. 15 - Prob. 2EAPCh. 15 - 3. Describe and contrast stellar orbits in the...Ch. 15 - Prob. 4EAP
Ch. 15 - Prob. 5EAPCh. 15 - Prob. 6EAPCh. 15 - Prob. 7EAPCh. 15 - Prob. 8EAPCh. 15 - Prob. 9EAPCh. 15 - Prob. 10EAPCh. 15 - Prob. 11EAPCh. 15 - Prob. 12EAPCh. 15 - Prob. 13EAPCh. 15 - Prob. 14EAPCh. 15 - Prob. 15EAPCh. 15 - We did not understand the true size and shape of...Ch. 15 - Prob. 17EAPCh. 15 - Prob. 18EAPCh. 15 - Prob. 19EAPCh. 15 - Prob. 20EAPCh. 15 - Prob. 21EAPCh. 15 - Prob. 22EAPCh. 15 - Prob. 23EAPCh. 15 - Prob. 24EAPCh. 15 - Prob. 25EAPCh. 15 - Prob. 26EAPCh. 15 - Prob. 27EAPCh. 15 - Prob. 28EAPCh. 15 - Prob. 29EAPCh. 15 - Prob. 30EAPCh. 15 - Prob. 31EAPCh. 15 - Prob. 32EAPCh. 15 - Prob. 33EAPCh. 15 - Prob. 34EAPCh. 15 - Prob. 35EAPCh. 15 - Prob. 36EAPCh. 15 - Prob. 37EAPCh. 15 - Prob. 38EAPCh. 15 - Prob. 39EAPCh. 15 - Prob. 40EAPCh. 15 - Prob. 41EAPCh. 15 - Prob. 42EAPCh. 15 - Prob. 43EAPCh. 15 - Prob. 44EAPCh. 15 - Prob. 45EAPCh. 15 - Prob. 46EAPCh. 15 - Prob. 47EAPCh. 15 - Prob. 48EAPCh. 15 - Prob. 49EAPCh. 15 - Prob. 50EAPCh. 15 - Prob. 51EAPCh. 15 - Prob. 52EAPCh. 15 - Prob. 53EAP
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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 = 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/sarrow_forwardA 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_forward
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- 23. 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_forward10. A light bulb emits 25.00 W of power as visible light. What are the average electric and magnetic fields from the light at a distance of 2.0 m?arrow_forward9. Some 1800 years ago Roman soldiers effectively used slings as deadly weapons. The length of these slings averaged about 81 cm and the lead shot that they used weighed about 30 grams. If in the wind up to a release, the shot rotated around the Roman slinger with a period of .15 seconds. Find the maximum acceleration of the shot before being released in m/s^2 and report it to two significant figures.arrow_forward
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