Question

A spaceship is 1600 m long when it is at rest. When it is traveling at a certain constant speed its length is measured by external observers and it is found to be 1390 m. What is the speed of the spaceship in terms of the speed of light? Tries 0/20 In the kitchen of the spaceship the chef sets the oven timer for 1.95 hours to make roast beef. How much time does the roast beef spend in the oven when measured by external observers at rest?

Answer 1

Answer:

speed of the spaceship is 0.495251 c

Time  T = 1.4982 hr

Explanation:

given data

length L1 = 1600 m

length L2 = 1390 m

to find out

speed of the spaceship and  time

solution

we know here

L2 = L1 × $\sqrt{1 - V^{2} }$

so we find V by put L1 and L2

1390 = 1600 × $\sqrt{1 - V^{2} }$

V = 0.495251 c

speed of the spaceship is 0.495251 c

and

we know T1 = 1.95 hr

so we find T2

T1 = T2 $\sqrt{1 - v^{2} }$

put here V and T1 so we get T2

1.95 = T2 $\sqrt{1 - 0.495251^{2} }$

Time  T = 1.4982 hr