6) A rocket is moving at 0.7c. mz mssiles a) According to an observer on the rocket it launches a missile in the same direction it is moving with a speed of 0.4c. An observer on the ground measures the speed of the missile. What velocity does she measure? Please answer in terms of c. b) If the same rocket launched the same missile in a direction opposite to the motion of the rocket, what would the velocity seen from the observer on the ground be? What is its direction as seen from the ground? Hint: The addition of velocities requires a special formula which was in the lectures. To figure out how to use it start with the non-relativisitc version: V 12 = V13 + V32 then modify it with the correct denominator to make it relativistic: V12 = (V13+ V32)/(1+(V13 V32/c²)). Pay careful attention to the signs of the velocities. If you end up with a speed larger than the speed of light you have made a mistake.

1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60 km/h and car B moves at 40 km/h, each measured relative to an observer on the ground. What is the speed of car A relative to car B? 2. A supersonic plane moves away from you, and in the +x direction, at a speed of 1000 m/s relative to you. A second plane, traveling in the same direction and ahead of the first plane, moves away from you, and away from the first plane, at a speed of 500 m/s relative to the first plane. How fast is the second plane moving relative to you? 3. Astronauts in a spaceship traveling at v = 0.6c relative to Earth sign off from space control, saying that they are going to nap for 1.00 h and then call back. How long does their nap last as measured on Earth? 4. A stick that has a proper length of 1 m moves in a direction parallel to its length with speed v relative to you. The length of the stick as measured by you is 0.914 m. What is the speed v? T 5. Muons are…

A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.

A spaceship leaves Earth traveling at 0.60 c. A second spaceship leaves the first at a speed of 0.90 c with respect to the first. Calculate the speed of the second ship with respect to Earth if it is fired in the same direction the first spaceship is already moving. Express your answer using two significant figures. ΑΣΦ 画 ? Submit Request Answer Part B Calculate the speed of the second ship with respect to Earth if it is fired directly backward toward Earth. Express your answer using two significant figures. ΑΣφ ? Submit Request Answer II

Starship Enterprise in "Star Trek" has a length of 288.646 m. What is it's relativistic length when it moves with speed of 0.7c in the direction parallel to its length? -210 m ~400 m

Chapter 37, Problem 030 Stellar system Q, moves away from us at a speed of 0.975c. Stellar system Q2, which lies in the same direction in space but is closer to us, is moving away from us at a speed 0.492c. What multiple of c gives the speed of Q, as measured by an observer in the reference frame of Q;? Number Units

An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator, collides with and sticks to an identical particle initially at rest. What is the speed of the combined particles?     CHOICES: a. 0.300 c b. 0.400 c c. 0.500 c d. 0.600 c

If you were on on a space ship traveling at0.60c away from a star, at what speed would starlight pass you? Explain you response?

You are on a spacecraft traveling away from the earth at 0.75 c�. A beacon on earth flashes exactly once per second. From your point of view, what is the time between one flash reaching your ship and the next? answer=4.0s From your point of view, what is the time between one flash reaching your ship and the next? answer= 2.6s   How did they get these??  IF your able to understand how mastering go these please show me how to solve it using .80 instead of .75 ANSWER IS NOT 1 or 1.67

Spaceship A is moving toward the Earth at 0.80c, and spaceship B is moving away from Earth at the same speed, according to observers on a distant planet. At the same moment, very bright lights are turned on at the front of spaceship A and on the back of spaceship B. The light from a)Spaceship A reaches the planet before the light from spaceship B.   b)both ships reaches the planet at the same time.   b)either ship could reach the planet first, but there's no way to tell in advance.   d) Spaceship B reaches the planet before the light from spaceship A.