EXERCISE 1.2 In physics, energy E carries dimensions of mass times length squared divided by time squared. Use dimensional analysis to derive a relationship for energy in terms of mass m and speed v, up to a constant of proportionality. Set the speed equal to c, the speed of light, and the constant of proportionality equal to 1 to get the most famous equation in physics. (Note, however, that the first relationship is associated with energy of motion, and the second with energy of mass. See Chapter 26.) ANSWER E= kmv² - E= mc? when k = 1 and v = c.

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EXERCISE 1.2 In physics, energy E carries dimensions of mass times length squared divided by time squared. Use
dimensional analysis to derive a relationship for energy in terms of mass mand speed v, up to a constant of proportionality.
Set the speed equal to c, the speed of light, and the constant of proportionality equal to 1 to get the most famous equation
in physics. (Note, however, that the first relationship is associated with energy of motion, and the second with energy of
mass. See Chapter 26.)
ANSWER E= kmv?
E = mc? when k= 1 and v= c.
Transcribed Image Text:EXERCISE 1.2 In physics, energy E carries dimensions of mass times length squared divided by time squared. Use dimensional analysis to derive a relationship for energy in terms of mass mand speed v, up to a constant of proportionality. Set the speed equal to c, the speed of light, and the constant of proportionality equal to 1 to get the most famous equation in physics. (Note, however, that the first relationship is associated with energy of motion, and the second with energy of mass. See Chapter 26.) ANSWER E= kmv? E = mc? when k= 1 and v= c.
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