Answer to Question #282991 in Mechanics | Relativity for BIGIRIMANA Elie

Question

What must be the velocity of a spacecraft if 1 ℎ on its clock is to correspond to 1 ℎ + 1 𝑠 on a clock on

the earth?

Answer 1

Explanation & Calculation

• Just use the definition of the formula of time dialation.

$\qquad\qquad \begin{aligned} \small T&=\small \frac{T'}{\sqrt{1-\large\frac{v^2}{c^2}}}\\ \small 3601\,s&=\small \frac{3600\,s}{\sqrt{1-\large\frac{v^2}{c^2}}}\\ \small v&=\small 0.0236c \end{aligned}$