A particle initially has a speed of 0.5c. At what speed does its momentum increase by (a) 1%, (b) 10%, (c) 100%?

John, 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?

Chapter 37, Problem 043 How much work must be done to increase the speed of an electron from (a) 0.14c to 0.15c and (b) from 0.92c to 0.93c? Note that the speed increase is 0.01c in both cases. (a) Number Units (b) Number Units

How much energy is required to accelerate a golf ball of mass 0.046 kg initially at rest to a speed of 0.75c?

An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on the particle or its fragments. One of the fragments has a velocity of +0.837c and a mass of 1.77 × 10-27 kg, and the other has a mass of 5.29 × 10-27 kg. What is the velocity of the more massive fragment (as a multiple of c)? (Hint: This problem is similar to Example 6 in Chapter 7.) Unstable particle at rest Number i V2 m2 Units m1 V1 Recoiling fragments

An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 3.20 ✕ 10−28 kg and that of the heavier fragment is 1.71 ✕ 10−27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment? ?c

An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on the particle or its fragments. One of the fragments has a velocity of +0.811c and a mass of 1.57 × 10-27 kg, and the other has a mass of 5.98 × 10-27 kg. What is the velocity of the more massive fragment (as a multiple of c)? (Hint: This problem is similar to Example 6 in Chapter 7.) Unstable particle at rest V2 m2 m1 V1 Recoiling fragments

A futuristic rocket ship of mass m,hip = 6.0 × 10° kg is sent into space carrying one person with the goal of traveling to nearby stars. The ship uses a newly discovered matter-antimatter drive that converts matter into energy at 100% efficiency. We will take Earth as the rest frame. For parts (a) through (d) you are interested in the portion of the spaceship's travel where it is using its drive to convert matter into the kinetic energy of the ship. (a) What is the speed of the ship when the work done by the ship's drive is equal to 150,000 TWh (the total energy used by humanity in 2014)? (b) How much work must the drive do for the rocket to reach a final speed of 0.95c? (c) How much matter would the drive need to annihilate in order for the ship to reach the final speed of 0.95c? Assume that the matter used in the antimatter drive is collected from the interstellar medium and that the mass of the ship remains constant. (d) When at the final speed of 0.95c, by what factor is the ship's…

How much work must be done to increase the speed of an electron from rest to (a) 0.436c, (b) 0.967c, and (c) 0.9961c?

1. (15 pts) A moving hydrogen atom (rest mass 939 MeV/c2, wherec is the speed of light in vacuum) has a kinetic energy of 313 MeV. (a) What is the total energy of this atom in MeV? (b) What is this particle's speed in terms of c? (c) What is the magnitude of this atom's linear momentum? 24 MacBook Air