with total relativistic energy equal to 1.7 times its rest energy. The speed of the particle is v. What is v/c?

6. A particle has a speed of 96% of the speed of light and a mass of 1u. The particle is unstable and its lifetime is 150 ns. It passes through a room where we stand and observe.   (a) How long do we think the lifetime of the particle is?   (b) The room is 10 m long, but how far does the particle feel as it passes?  (c) How much of the particle's total energy is rest mass?

A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton? (c = 3.00 × 108 m/s, mproton = 1.67 × 10-27 kg)

A particle whizzes through your lab at a speed of 0.74c. Your detectors determine that its lifetime was 1.1ns. Find its lifetime in the particle's reference frame. Please give your answer in nanoseconds.

If a m = 90.7 kg person were traveling at v = 0.875c, where c is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:

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 travels from Mercury to Mars at a speed of 0.81c relative to the Earth. Assume Earth, Mars and Mercury don’t move relative to each other. The time of the trip as measured by an Earth observer is 700 seconds. What is the time of the trip as measured by a passenger on the spaceship? What is the distance between Mercury and Mars as measured by a passenger on the spaceship?

Tony & Yuki are working at a particle linear accelerator  that is  414 meters long.  A particle is moving at 0.89 c in the  accelerator.  What is the length of the  particle accelerator in meters according to the particle?  Give your answer with no decimal places please.

Leo and Owen are working at a particle linear accelerator  that is  414 meters long.  A particle is moving at 0.89 c in the  accelerator.  What is the length of the  particle accelerator in meters according to the particle?  Give your answer with no decimal places please.