COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 25, Problem 12QAP
To determine
The predictions of general relativity.
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A charge particle moves along a straight line in an uniform electric
field E with speed v.
• If the motion and the electric field are in the x direction by Considering
relativistic form of newton's second law show that the magnitude of the
acceleration of charge q
a =
dt
dv
qE
(1-
m
Discuss the significance of the dependence of the acceleration on the
speed.
If the particle starts from the rest x = 0 at t = 0 find the speed of the
particle and its position after a time t has elapsed.
• Comment of the limiting values of v and x as t –→∞
• * * You embark on a round-trip journey to a star 11 light-years away, as measured in Earth's reference frame. You travel at a constant speed outbound, turn around rapidly, and travel back at constant speed.
If the round trip takes 15 years by your clock, (a) how fast do you travel and (b) what s the round-trip time as measured on Earth!
Chapter 25 Solutions
COLLEGE PHYSICS
Ch. 25 - Prob. 1QAPCh. 25 - Prob. 2QAPCh. 25 - Prob. 3QAPCh. 25 - Prob. 4QAPCh. 25 - Prob. 5QAPCh. 25 - Prob. 6QAPCh. 25 - Prob. 7QAPCh. 25 - Prob. 8QAPCh. 25 - Prob. 9QAPCh. 25 - Prob. 10QAP
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- Two spaceships, each 100 m long when measured at rest, travel toward each other with speeds of 0.85c relative to Earth.• How long is each ship as measured by someone on Earth?• How fast is each ship traveling as measured by an observer on the other?• How long is one ship when measured by an observer on the other?arrow_forward4 In projection television sets electrons are accelerated through a potential difference of 50kV. • Calculate the speed of the electrons using the relativistic form of kinetic energy assuming the electrons start from rest. (Rest energy of electron is 0. 511MEV) • Calculate the speed of the electrons using the classical form of kinetic energy. o Determine the difference percentage and is this difference in speed significant in the design of this TV set? The free neutron is known to decay into a proton an electron and an antineutrino (of zeroarrow_forward3- a) The distance to Alpha Centauri (the nearest large star to Earth) is 4.37 Ly (Light Years). What is the distance in miles (given that one Ly = 5.88 x 1012 miles?) b) Present rocket ship speeds are roughly 100,000 miles per hour, which is the same as 8.766 x 108 miles per year. At this speed, and using the distance you calculated in (a), how many years would it take to travel to Alpha Centauri?arrow_forward
- 6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper lifetime). • If the particle moves with speed 0.95c with respect to the Earth, what is its lifetime as measured by an observer at rest on Earth?. • What is the average distance it travels before decaying as measured by an observer at rest on Earth in cm? (ii) Let a rod of length Lo makes an angle 0 relative to the í -axis and let it moves with speed v = 0.8c along the horizontal direction. • Find the length of the rod as measured by a stationary observer for 0, = 30 and 60 • Find the angle 0 the rod makes with the x -axis in terms of 0o.arrow_forwardWhich of the following statements are fundamental postulates of the special theory of relativity? More than one statement may be correct. (a) Light moves through a substance called the ether. (b) The speed of light depends on the inertial reference frame in which it is measured. (c) The laws of physics depend on the inertial reference frame in which they are used. (d) The laws of physics are the same in all inertial reference frames. (e) The speed of light is independent of the inertial reference frame in which it is measured.arrow_forwardOur solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forward
- Two spaceships, each 100 m long when measured at rest, travel towardeach other with speeds of 0.85c relative to Earth. • How long is each ship as measured by someone on Earth?• How fast is each ship traveling as measured by an observer on the other?• How long is one ship when measured by an observer on the other?• At time t0 on Earth, the fronts of the ships are together as they just begin to pass each other. At what time on Earth are their ends together?arrow_forwardYou observe a rocket moving away from you. Compared to the passage of time measured by the watch on your wrist, is the passage of time on the rocket's clock will appear as running O faster • with the same speed as while on earth surface • slower O unpredictable as the speedarrow_forward3. • A futuristic spaceship flies past Pluto with a speed of 0.964c relative to the surface of the planet. When the spaceship is directly overhead at an altitude of 1500 km, a very bright sig- nal light on the surface of Pluto blinks on and then off. An observer on Pluto measures the signal light to be on for 80.0 us. What is the duration of the light pulse as measured by the pilot of the spaceship?arrow_forward
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