A spaceship is 1600 m long when it is at rest. When it is traveling at a certain

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 1245 m.

A) What is the speed of the spaceship in terms of the speed of light? 6.28×10-1 this is correct

B ) In the kitchen of the spaceship the chef sets the oven timer for 1.80 hours to make roast beef. How much time does the roast beef spend in the oven when measured by external observers at rest? Answer in seconds (10620 S is not right)

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Explanation / Answer

Le: Earth length = 1600

Ls: Ship Length = 1245

Ls = Le * sq rt (1 - V^2)

1245 = 1600 * sq rt (1 - V^2)

sq rt (1 - V^2 ) = 1245/1600

sq rt (1 - V^2) = .7781 Sq both sides

1 - V^2 = 0.6054
-V^2 = - 0.3946 Multi by -1

V^2 = 0.3946
V=0.628 c = 6.28×10-1



Te = earth time

Ts = ship time = 1.80 hr

Ts = Te * sq rt (1 - 0.628 ^2)

1.8 hr = Te * sq rt (1 - 0.3946)
1.8 = Te * sq rt ( 0.6054)
1.8 = Te * 0.7780
Te = 2.31 hr

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