COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 25, Problem 11QAP
To determine
The postulates of the theory of relativity
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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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- 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 –→∞arrow_forward6. (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_forward•8 o A positive tau (7*, rest energy = 1777 MeV) is moving with 2200 MeV of kinetic energy in a circular path perpendicular to a uniform 1.20 T magnetic field. (a) Calculate the momentum of the tau in kilogram-meters per second. Relativistic effects must be considered. (b) Find the radius of the circular path.arrow_forward
- We cannot move a finger without disturbing all stars. Explain.arrow_forwardLength Contraction• Describe proper length.• Calculate length contraction.• Explain why we don’t notice these effects at everyday scales.arrow_forwardB8] This question concerns two inertial frames S and S' with origins coinciding at t = t' = 0, and a set of events taking place along the x-axis, which defines the direction of relative motion. -8 a) The coordinates of event A in frame S are x = 12 m and t = 8x10 s. If the coordinates of this event in frame S' are x' = -3 m and t' = 7 x 10- s, show that the y factor for transformations between S and S' is 5/4. b) Events B and C take place in S' at a time t' = 6 × 10-* s at x' = 1 m and x' = 2 m respectively. What is their spatial separation in frame S? %3D -8- c) Event D takes place in S' at t' = 3 x 10 s and x' = 1 m. What is the time difference between events B and D in S? d) Is it possible for events A and D to take place at the same time in the frame of an observer moving along the x-axis?arrow_forward
- General remarks: • If you want to add scientific notation, as an example, 5×10-9, use the following way: 5*10^(-9) Or use this tool • DO NOT ADD ANY UNITS OR SYMBOLS WITH YOUR NUMERICAL ANSWERSarrow_forwardTwo 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_forwardWhen you are flying in a commercial jet, it may appear to you that the airplane is stationary and the Earth is moving beneath you. Is this point of view valid? Explain.arrow_forward
- 4 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_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_forward. How many years would you have to wait to observe a 1° angular shift in the perihelion of Mercury due to general relativistic effects?arrow_forward
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