A rocket cruises past a laboratory at 0.400×106m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame)v⃗ =(1.55×106i^+1.55×106j^)m/s. a. What is the proton's speed in the laboratory frame? b. What is the angle from the y-axis of the proton's speed in the laboratory frame? c. What is the the proton's speed in the rocket frame? d. What is the angle from the y-axis of the proton's speed in the rocket frame?

In the earth's rest frame, two protons are moving away from each other at equal speed. In the frame of each proton, the other proton has a speed of 0.650c. Part A What does an observer in the rest frame of the earth measure for the speed of each proton? Express your answer as a multiple of the speed of light. V7 ΑΣΦ U = Submit Request Answer ?

You are the pilot of a spacecraft intended for travel at very high speeds. Before leaving you measure the spacecraft to be 31.4 m long and have a mass of 5.28 x 104 kg. During your travel, you pass a planet and exchange information with an observer on the planet. You are told that your spacecraft has been measured to be 28.6 m long. a. How fast is your spacecraft travelling with respect to the planet? b. You are told there is a nearby planet that is stationary with respect to the first planet. The observer on the first planet says it will take you 25 s to reach the nearby planet. How far away does your co-pilot on the spacecraft say the nearby planet is? c. How much energy was required to accelerate your spacecraft to this speed?

The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?