What is the momentum of a proton moving at a speed of v=0.86c?
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Q: How much work is required to accelerate a proton from rest up to a speed of 0.998c?
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- A rocket travels along a line from the Sun to Saturn at a constant speed of 0.862c relative to the Sun. The distance from the Sun to Saturn is 1.43 x 1012 m, as measured by someone at rest with respect to the Sun. How long does the journey take (in minutes) as measured by an astronaut on the rocket? (Use c = 2.9979 × 108 m/s) minWhat is the momentum of a proton moving at a speed of v = 0.75c?How much work must be done to accelerate an electron to accelerate it from rest to a speed of 0.902c?
- What is the kinetic energy of an electron if its speed is 0.992c?How far from the earth would you be able to travel in a lifetime of 88 years if you were able to travel at a constant speed of 0.67c?22. Newly sprouted sunflowers can grow at a rate of 0.75 cm per day. One sunflower is left on Earth, and another one is placed on a spacecraft traveling away from Earth at a speed of 0.94c. How tall is the sunflower on the spacecraft (as measure by someone on the spacecraft) when a person on Earth says theirs is 4.5 cm tall? How tall is the sunflower on the spacecraft (as measured by the person on Earth)? (Note: The direction of sunflower growth is the same as the direction that the spaceship is moving)
- A rocket launched outward from Earth has a speed of 0.38c relative to the Earth. The rocket is directed toward an incoming meteor that may hit the planet. If the meteor moves with a speed of 0.70c relative to the rocket and directly toward it, what is the speed of the meteor as observed from Earth?A rocket cruising past earth at 0.500 ⋅c⋅c shoots a bullet out the back door, opposite the rocket's motion, at 0.750 ⋅c⋅c relative to the rocket. What is the bullet's speed relative to the earth? What is the direction of its movement? along the rocket's motion opposite the rocket's motionJohn, in his spaceship, observes as Sally, in her spaceship, passes him at a speed of v=0.8c. John who was born and raised on his spaceship, is 20 years old. According to Sally, how old is he? How many birthday parties should he have had and how many presents should Sally have sent him?
- 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)How much energy is required to accelerate a golf ball of mass 0.046 kg initially at rest to a speed of 0.75c?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.