Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 1, Problem 21P
An observer on Earth observes two spacecraft moving in the same direction toward the Earth. Spacecraft A appears to have a speed of 0.50c, and spacecraft B appears to have a speed of 0.80c. What is the speed of spacecraft A measured by an observer in spacecraft B?
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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 = 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
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
i
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 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?
]
Chapter 1 Solutions
Modern Physics
Ch. 1.2 - Prob. 1ECh. 1.2 - Exercise 2 Conservation of Linear Momentum Is...Ch. 1.5 - If the speed of the observer is increased by 5.0%,...Ch. 1.5 - If the ship moves past the observer at 0.01000c,...Ch. 1.6 - Prob. 5ECh. 1 - What two measurements will two observers in...Ch. 1 - A spaceship in the shape of a sphere moves past an...Ch. 1 - An astronaut moves away from Earth at a speed...Ch. 1 - Two identically constructed clocks are...Ch. 1 - Two lasers situated on a moving spacecraft are...
Ch. 1 - Prob. 6QCh. 1 - When we speak of time dilation, do we mean that...Ch. 1 - Prob. 8QCh. 1 - Prob. 9QCh. 1 - It is said that Einstein, in his teenage years,...Ch. 1 - Prob. 11QCh. 1 - What happens to the density of an object as its...Ch. 1 - In a lab frame of reference, an observer finds...Ch. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - An airplane flying upwind, downwind, and crosswind...Ch. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - A clock on a moving spacecraft runs 1 s slower per...Ch. 1 - A meter stick moving in a direction parallel to...Ch. 1 - A spacecraft moves at a speed of 0.900c. If its...Ch. 1 - The average lifetime of a pi meson in its own...Ch. 1 - An atomic clock is placed in a jet airplane. The...Ch. 1 - An astronaut at rest on Earth has a heartbeat rate...Ch. 1 - The muon is an unstable particle that...Ch. 1 - A rod of length L0 moves with a speed v along the...Ch. 1 - The classical Doppler shift for light. A light...Ch. 1 - Calculate, for the judge, how fast you were going...Ch. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Two spaceships approach each other, each moving...Ch. 1 - Prob. 20PCh. 1 - An observer on Earth observes two spacecraft...Ch. 1 - Speed of light in a moving medium. The motion of a...Ch. 1 - An observer in frame S sees lightning...Ch. 1 - As seen from Earth, two spaceships A and B are...Ch. 1 - Prob. 25PCh. 1 - The proper length of one spaceship is three times...Ch. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - A spaceship moves away from Earth at a speed v and...Ch. 1 - An observer in a rocket moves toward a mirror at...Ch. 1 - A physics professor on Earth gives an exam to her...Ch. 1 - A yet-to-be-built spacecraft starts from Earth...Ch. 1 - Suppose our Sun is about to explode. In an effort...Ch. 1 - Two powerless rockets are on a collision course....Ch. 1 - Prob. 35PCh. 1 - Suzanne observes two light pulses to be emitted...Ch. 1 - An observer in reference frame S sees two events...Ch. 1 - A spacecraft is launched from the surface of the...Ch. 1 - An Earth satellite used in the Global Positioning...Ch. 1 - Prob. 40P
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