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1) Buzz is flying at velocity x = 0.50 c. Zurg is on a nearby planet creating a

ID: 2296720 • Letter: 1

Question

1) Buzz is flying at velocity x = 0.50 c. Zurg is on a nearby planet creating a death ray the length of 60.0m.

a) If Buzz measures the death ray at his current velocity, how long will he think that the death ray is?
b) What is the percent difference?
c) What if Buzz were moving faster? Would the percent change be simply proportional or more complicated? Explain your case.


2) A 4kg pumpkin is sitting stationary on a platform.


a) What is the total energy of the pumpkin measured by a person standing on the platform?
b) The platform, along with the pumpkin, is accelerated to 0.7c relative to the earth. What is the total energy of the pumpkin as measured from someone outside the the platform, on earth? Has the answer to part a changed?

SHOW ALL WORK & EXPLAIN YOUR ANSWER

Explanation / Answer

1) a) L = L0/gamma = 60*sqrt(1-0.5^2)= 51.96 m


b) % diff = (60-51.96)/60= 13.4 %

c) more complicated since gamma is not linear


2) a) gamma = 1 so E = gamma mc^2 = 4*3.0E8^2=3.6E17 J

b) now gamma = 1/sqrt(1-0.7^2)=1.4

E = gamma mc^2 = 1.4*3.6E17=5.04E17 J