A spacecraft A passes spacecraft B at moment t = () as measured on from Earth's frame. Spacecraft A travels at a speed of 0.8c in the positive x direction, and B travels at a speed of 0.6c also in the positive x direction. After 4 seconds, according to A's reference frame, a pulse of light is emitted from spacecraft A to spacecraft B. a. Assuming the spacecrafts are moving on the same line, what is the speed of spacecraft A as measured from the frame of reference of spacecraft B? (Give the answer in units of c) 0.38 b) How much time (in seconds) in the frame of reference of spacecraft B passes from the moment the spacecrafts pass each other until the pulse is received in spacecraft B? 3.12 X

Two spaceships pass each other traveling in opposite directions. A passenger on ship A, which she knows to be 100-m long, notes ship B is moving with a speed of 0.920 c relative to A, and that the length of B is 36.0 m. (a) What are the lengths of the two ships as measured by a passenger on ship B? Spaceship A then travels to a star 95.0 light-years away at a speed of 2.20×108 m/s. A light year is the distance light travels in one year. How long does it take to get there (b) as measured on Earth and (c) as measured on the spaceship?

A muon is created 60 km above the surface of the earth. In the earth’s frame, the muon is traveling directly downward at 0.9999c.a. In the earth’s frame of reference, how much time elapses between the muon’s creation and the time it reaches the surface?b. Use time dilation to determine, in the muon’s frame, how much time elapses between the muon’s creation and the time it reaches the surface.c. In the muon’s frame of reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?d. The ratio of the distance you calculated in part c and the time you calculated in part b is a speed. Calculate this speed; what do you notice?

an aerospace is moving away from the earth at a velocity v = 0.6c to carry out a research. when the aircraft is at a distance of d = 5 x 10 ^ 8 km from the earth, a radio signal is sent to the aircraft from observers on earth. Count ita. How long does it take for the signal to reach the plane if calculated by researchers on earth and the crew on board?b. if an observer on earth measures the dimensions of the plane as long as 67 m, then how long is the plane measured by the crew on board?