Find the momentum, kinetic energy, and total energy of an electron with speed (c) $0.50 c$.

An electron has a speed of 0.750c. Find the speed of a proton that has the same kinetic energy as the electron.

An electron has a speed of 0.750c. Find the speed of a proton that has the same kinetic energy as the electron.

A proton moves with a speed of $0.90 \: \mathrm{c}$ . Find the speed of an electron that has (a) the same momentum as the proton, and (b) the same kinetic energy.

An electron moves to the right with a speed of 0.90c relative to the laboratory frame. A proton moves to the left with a speed of 0.70c relative to the electron. Find the speed of the proton relative to the laboratory frame.

Calculate the momentum, kinetic energy, and total energy of an electron traveling at a speed of (a) 0.020$0.020 \: \mathrm{c}$ (b) $0.20 \: \mathrm{c} ,$ and (c) $0.90 \: \mathrm{c}$.

A particle initially has a speed of $0.5 \: \mathrm{c}$ At what speed does its momentum increase by (a) $1 \% ,$ (b) $10 \% ,$ (c) 100$\%$ ?

What is the kinetic energy of (a) an electron having a momentum of $40 \: \mathrm { GeV } / c ?$ (b) a proton having a momentum of $40 \: \mathrm { GeV } / c ?$

What is the total energy of a proton whose kinetic energy is 8.50 GeV?

Find the momentum, kinetic energy, and total energy of a proton with speed (a) $0.01 c$.

A particle having a speed of $0.92 \: \mathrm{c}$ has a momentum of $10 ^ { - 16 } \mathrm { kg } \cdot \mathrm { m } / \mathrm { s } .$ What is its mass?

A spacecraft traveling out of the solar system at a speed of $0.95 \: \mathrm{c}$ sends back information at a rate of 1400 kHz. At what rate do we receive the information?

Three galaxies are aligned along an axis in the order A, B, C. An observer in galaxy B is in the middle and observes that galaxies A and C are moving in opposite directions away from him, both with speeds $0.60 \: \mathrm{c}$. What is the speed of galaxies B and C as observed by someone in galaxy A?

A spaceship is moving at a speed of $0.84 \: \mathrm{c}$ away from an observer at rest. A boy in ton gun with protons having a speed of $0.62 \: \mathrm{c} .$ What is the speed of the protons measured by the observer at rest when the gun is shot (a) away from the observer and (b) toward the observer?