FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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According to the Theory of Relativity, the length of an object depends on its velocity v with respect to an observer. For an object whose length at rest is 10 m, its observed length L satisfies the equation
c2L2 + 100v2 = 100c2
where c is 300,000 km/s, the speed of light. (Round your answers to four decimal places.)
(a) Express L as a function of v and c.L =
10√(c+v)(c−v)c
(b) What is the observed length L of a meteor that is 10 m long at rest and that is traveling past the earth at 20,000 km/s?(c) What is the observed length L of a satellite that is 10 m long at rest and that is traveling at 15,000 km/s?(d) What is the net change in the observed length L of an object whose velocity changes from 15,000 km/s to 20,000 km/s?
A particle has a mass of 1.6E-27kg and a momentum of 2.2E-18 kg.m/s.
What is the speed of the particle? Express your answer in units of c, the speed of light. Keep four significant digits.
A conveyor belt is used to send burgers through a grilling machine. If the grilling machine is 1.2 m long and the burgers require 2.8 min to cook, how fast must the conveyor belt travel? If the burgers are spaced 25 cm apart, what is the rate of burger production (in burgers/min)?
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