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A spaceship leaves our solar system at a constant speed of0.900 c and travels to

ID: 1755565 • Letter: A

Question

A spaceship leaves our solar system at a constant speed of0.900c and travels to a point in the Andromeda galaxy.According to astronomers in an inertial reference frame on Earth,the distance to the galaxy is 2.081 × 1022 m. Whatdistance does the crew on the ship measure on its journey?

a. 1.91 × 1022m
b. 9.07 × 1021m
c. 9.85 × 1021m
d. 4.77 × 1022m
e. 2.83 × 1022 m A spaceship leaves our solar system at a constant speed of0.900c and travels to a point in the Andromeda galaxy.According to astronomers in an inertial reference frame on Earth,the distance to the galaxy is 2.081 × 1022 m. Whatdistance does the crew on the ship measure on its journey? 1.91 × 1022m 9.07 × 1021m 9.85 × 1021m 4.77 × 1022m 2.83 × 1022 m

Explanation / Answer

Given :               Distance (L) = 2.081 x 1022 m               Velocity (v)    =   0.900c We know that :                L`   =   L 1 - v2 /c2                       =  2.081 x 1022 m *   [1 -( (0.900c)2 / c2 ) ]                      =   0.9070    x  1022 m                      =   9.07 x 1021 m Hope this helps u!
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