Please explain procedure as well as give the correct answer. Question 1) A space

Question

Please explain procedure as well as give the correct answer.

Question 1)

A spaceship travels at 0.800c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.866c relative to Earth? (Choose the direction of the spaceship's motion relative to Earth as the positive direction.)

Question 2)

Owen and Dina are at rest in frame S', which is moving with a speed of v1 = 0.570c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (see figure below). Owen throws the ball to Dina with a speed of
v2 = 0.810c (according to Owen) and their separation (measured in S') is equal to d = 1.75 1012 m.
(a) According to Dina, how fast is the ball moving?
c

(b) According to Dina, what time interval is required for the ball to reach her?
s

(c) According to Ed, how far apart are Owen and Dina?
m

(d) According to Ed, how fast is the ball moving?
c

Explanation / Answer

Use the relativistic velocity composition law

V = (u+v)/(1+uv/c^2)

divide both sides by c

V/c = (u/c + v/c)/(1+u/c*v/c)

You know that V/c = 0.866, u/c = 0.800, so solve for v/c.

get v/c = 0.2148

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects