A spaceship is moving away from Earth at 0.902c when it fires a small rocket in the forward direction at 0.606c relative to the spaceship. Calculate the rocket's speed relative to Earth (in m/s).

A particle is accelerated from 0.975c to 0.992c as measured in a laboratory reference frame. This is a change in speed of only 1.7% and the ratio of the velocities is 1.017 (as measured in the lab frame). What is the ratio of the particle momentum when moving at 0.992c as compared to when it was moving at 0.975c? This ratio should be expressed as a decimal number. P2 P₁

1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocket

A rocket with a proper length of 1500 m moves at a speed of 0.87c directly away from an observer on earth. an astronaut standing at the centre of the rocket fires two electrons at a speed 0.99c through a vacuum pipe. One electron is aimed toward the centre of the rocket, the other toward the rear. a. In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b. In the Earth observer's frame, calculate the length of the rocket, and the speed of the two electrons moving towards the front and the rear of the rocket.

A spaceship whose rest length is 283 m has a speed of 0.87c with respect to a certain reference frame. A micrometeorite, also with a speed of 0.87c in this frame, passes the spaceship on an antiparallel track. How long does it take this object to pass the spaceship as measured on the ship? Number Units

A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c.   Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units

Two rockets moving towards each other. Rocket A moving to the right with speed 0.80c while rocket B moving to the left with speed 0.60c. The length of the two rockets are the same, that are 50m as measured by the earth observer.  i) What is the lengths of the two rockets as measured by the astronouts in their rockets? ii) What is the velocity of the rocket relative to each other? iii) If the earth observer measured the initial distance of the two rockets to be 2.52 x 1012 m apart, what are distance of the two rockets observed by observer in the rockets? iv) How long before they collide, observed by the observer in the rockets?  v) If both rockets could evacuate within 90 min (their own time), will they survive?

Spaceship R is moving to the right at a speed of 0.733c with respect to Earth. A second spaceship, L, moves to the left at the same speed with respect to Earth. What is the speed of L with respect to R?? c

A particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound observer, the distance it travels is 2.50 km. How far does the particle travel in the particle’s frame of reference?