The following six problems are about the following situation: A spaceship at res

Question

The following six problems are about the following situation: A spaceship at rest on the earth has a length of 120 m and a mass of 16,000 kg. Then the spaceship begins to move away from the earth at 3/4 the speed of light

1)

How long do observers ON THE SPACESHIP measure the spaceship to be?

79 m

120 m

182 m

2)

How long do observers ON EARTH measure the spaceship to be?

79 m

120 m

182 m

3)

When 10 years have passed ON EARTH, how much time do observers ON EARTH measure the spaceship's clocks to have moved through?

6.6 yr

10.0 yr

15.1 yr

4)

What do observers ON EARTH measure the spaceships momentum to be?

2.4 x 1012 kg-m/s

3.6 x 1012 kg-m/s

5.4 x 1012 kg-m/s

5)

If the spaceship sends out a second ship away from the earth at what observers ON THE SPACESHIP think is 1/2 the speed of light, how fast do the observers ON EARTH think the second ship is moving?

0.47c

0.78c

0.91c

1.00c

1.25c

6)

If the spaceship sends out a second ship toward the earth at what observers ON THE SPACESHIP think is 9/10 the speed of light, how fast do the observers ON EARTH think the second ship is moving?

-0.15c

-0.31c

-0.46c

-0.65c

-1.00c

Explanation / Answer

From the given data

the answers are when the objects are moving with velocity of light then from STR , time dilation , length contraction, etc will occur

1) observers ON THE SPACESHIP measure the spaceship to be the same length of the space ship 120 m

2)observers ON THE Earth measure the spaceship to be 79 m because length contraction

3)

When 10 years have passed ON EARTH, how much time do observers ON EARTH measure the spaceship's clocks to have moved through 15.1 yr because time dilation

4) observers ON EARTH measure the spaceships momentum to be 3.6*10^12 Kgm/s

5) the observers ON EARTH think the second ship is moving is 0.9 c

6) he observers ON EARTH think the second ship is moving is 0.65 c

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