A rocket speeding by the Earth is known,when at rest,to be roughly cylindrical with a radius of 15 m and a length of 150 m.When speeding by,its volume is measured to be 4.24 $\times$ 10⁴ m³.What is its speed? A) 0.917c B) 0.774c C) 0.678c D) Insufficient information is given.

Question

Quizplus · Accepted Answer

The volume contraction due to relativistic effects can be used to find the speed. The rest volume is π(15^2)(150) m^3. Using the Lorentz contraction formula, the contracted volume is V_rest/γ = 4.24 x 10^4 m^3. Solving for γ gives the speed as 0.917c.

A Rocket Speeding by the Earth Is Known,when at Rest,to ×\times×

A Rocket Speeding by the Earth Is Known,when at Rest,to $\times$