At what speed would a clock be moving so that time dilation would cause it to run slow by 50%?
A) 0.500 c
B) 0.750 c
C) 0.250 c
D) 0.414 c
E) 0.866 c

Name: At what speed would a clock be moving so that time dilation would cause it to run slow by 50%? A) 0.500 c B) 0.750 c C) 0.250 c D) 0.414 c E) 0.866 c
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Question

Quizplus · Accepted Answer

Time dilation is given by the formula $ t' = t/\sqrt{1-v^2/c^2} $. For the clock to run slow by 50%, $ t' = 2t $, which implies $ \sqrt{1-v^2/c^2} = 0.5 $. Solving for $ v $, we get $ v = 0.866c $.

At What Speed Would a Clock Be Moving So That