Understanding E=mc² and Relativity

What is the relationship between force and momentum in Newtonian mechanics?

• Force is equal to momentum times velocity.

• Force is equal to the rate of change of momentum.

• Force is equal to momentum divided by time.

• Force is equal to the square of momentum.

How does relativistic momentum differ from classical momentum?

• Relativistic momentum decreases with speed.

• Relativistic momentum remains constant regardless of speed.

• Relativistic momentum is independent of mass.

• Relativistic momentum increases with speed but at a decreasing rate.

In relativistic mechanics, what happens to a body's speed and momentum at very high velocities?

• Speed remains constant while momentum decreases.

• Both speed and momentum increase significantly.

• Speed increases slightly while momentum increases significantly.

• Speed increases significantly while momentum remains constant.

What does the term 'rest energy' refer to in the context of E=mc²?

• The energy of a body at rest, excluding kinetic energy.

• The energy lost when a body is at rest.

• The energy of a body in motion.

• The energy required to bring a body to rest.

What mathematical technique is used to simplify the expression for inertial mass in the derivation of E=mc²?

• Matrix algebra

• Binomial expansion

• Differential calculus

• Fourier transform