- #1

R3ap3r42

- 30

- 3

- Homework Statement
- Lorentz Transformation - Relative speeds to different observers

- Relevant Equations
- Lorentz Transformation, Time Dilation, Length Contraction

Two spaceships are heading towards each other on a collision course. The following facts are all as measured by an observer on Earth: spaceship 1 has speed 0.74c, spaceship 2 has speed 0.62c, spaceship 1 is 60 m in length. Event 1 is a measurement of the position of spaceship 1 and Event 2 is a measurement of the position of spaceship 2. These two events take place at the same time and the distance between them is 2.9 × 1012 m, again as measured by an observer on Earth.

a) Draw a diagram to illustrate the relative motion of the relevant inertial frames.

b) Determine the length of spaceship 1 as measured in its own rest frame.

c) Determine the length of spaceship 1 as measured by an observer at rest in spaceship 2.

d) According to an observer on Earth, how long before the spaceships collide?

e) According to an observer on spaceship 1, how long after Event 1 do the spaceships collide?

f) What is the time interval between Event 1 and Event 2 according to an observer on spaceship 1?I have done all but f)

I don't understand how to get to the expected value of 10635 secs.

a) Draw a diagram to illustrate the relative motion of the relevant inertial frames.

b) Determine the length of spaceship 1 as measured in its own rest frame.

c) Determine the length of spaceship 1 as measured by an observer at rest in spaceship 2.

d) According to an observer on Earth, how long before the spaceships collide?

e) According to an observer on spaceship 1, how long after Event 1 do the spaceships collide?

f) What is the time interval between Event 1 and Event 2 according to an observer on spaceship 1?I have done all but f)

I don't understand how to get to the expected value of 10635 secs.