College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 26, Problem 11P
26.3-26.6 Simultaneity, Time Dilation, Length Contraction, and Spacetime Diagrams
Extending life? Free neutrons have an average lifetime of about 1000 s before transforming into an electron, a proton, and an anti-neutrino. If a neutron leaves the Sun at a speed of 0.999c, (a) how long does it live according to an Earth observer? (b) Will such a neutron reach Pluto (
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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 26 Solutions
College Physics
Ch. 26 - Review Question 26.1 Why is the historical role of...Ch. 26 - Review Question 26.2 Alice is standing on the...Ch. 26 - Review Question 26.3 You hear in your physics...Ch. 26 - Review Question 26.4 You are on a train eating an...Ch. 26 - Prob. 5RQCh. 26 - Prob. 6RQCh. 26 - Prob. 7RQCh. 26 - Review Question 26.8 Why must the classical...Ch. 26 - Prob. 9RQCh. 26 - Prob. 10RQ
Ch. 26 - Prob. 11RQCh. 26 - Prob. 12RQCh. 26 - Prob. 1MCQCh. 26 - Multiple Choice Questions
2. On what did Michelson...Ch. 26 - Multiple Choice Questions Physicists explained the...Ch. 26 - Multiple Choice Questions
4. What is a proper time...Ch. 26 - Prob. 5MCQCh. 26 - Prob. 6MCQCh. 26 - Prob. 7MCQCh. 26 - Prob. 8MCQCh. 26 - Multiple Choice Questions
9. The measurement of...Ch. 26 - Prob. 10MCQCh. 26 - Prob. 11MCQCh. 26 - Multiple Choice Questions Which of the blue world...Ch. 26 - What is an inertial reference frame? How can you...Ch. 26 - 14. Give an example of a phenomenon that an...Ch. 26 - 15. Explain the difference between a proper...Ch. 26 - Prob. 16CQCh. 26 - What does it mean to say that the speed of...Ch. 26 - You move toward a star at a speed of 0.99c. At...Ch. 26 - 19. You pass Earth in a spaceship that moves at...Ch. 26 - It takes light approximately 1010 years to reach...Ch. 26 - Prob. 21CQCh. 26 - Name several ways in which your life would be...Ch. 26 - Prob. 23CQCh. 26 - The classical equation for calculating kinetic...Ch. 26 - How did the Doppler effect for light help...Ch. 26 - Prob. 26CQCh. 26 - Prob. 27CQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 17PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3–26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 23PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - 26.9 Relativistic Energy
33. Determine the ratio...Ch. 26 - Prob. 34PCh. 26 - 26.9 Relativistic Energy * At what speed must an...Ch. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Relativistic Energy * A particle originally moving...Ch. 26 - Prob. 42PCh. 26 - 26.9 Relativistic Energy
43. ** A particle of mass...Ch. 26 - Prob. 44PCh. 26 - Relativistic Energy * Mass equivalent of energy to...Ch. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Relativistic Energy 109kg of mass to energy (b)...Ch. 26 - 26.10 Doppler Effect for EM Waves
52. Why no color...Ch. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - 58.* Boat trip A boat's speed is 10 m/s. It makes...Ch. 26 - * Space travel An explorer travels at speed...Ch. 26 - ** A pilot and his spaceship of rest mass 1000 kg...Ch. 26 - * Alice's friends Bob and Charlie are having a...Ch. 26 - Prob. 65GPCh. 26 - 66. ** Space travel A pilot and her spaceship have...Ch. 26 - Prob. 67GPCh. 26 - Prob. 68GPCh. 26 - Prob. 69RPPCh. 26 - Prob. 70RPPCh. 26 - Prob. 71RPPCh. 26 - Prob. 72RPPCh. 26 - Prob. 73RPPCh. 26 - Prob. 74RPPCh. 26 - Prob. 75RPPCh. 26 - Prob. 76RPPCh. 26 - Prob. 77RPPCh. 26 - Prob. 78RPPCh. 26 - Prob. 79RPPCh. 26 - Prob. 80RPP
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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
- 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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