Question

Suppose that we are able to travel around the circumference of the Earth with a speed of 0.9118c.

(a) How long (in seconds) would it take in the reference frame of the Earth?

(b) How long (in seconds) would it take in our moving reference frame? The radius of the Earth is 6.38 × 10⁶ m.

Answer 1

a) Speed at which we are moving when earth is stationary= 0.9118c= 0.9118 X 3 X10⁸

= 2.73 x 10⁸ m/s

Circumference of earth=

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Time taken = circumference/ speed

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b.) If earth is moving therefore relative speed= (2.73 X 10⁸) -- 460

= 2.72 X10⁸ m/s

ime taken = circumference/ speed

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