Question

Which of the following statements are true about relativistic mass, momentum and energy?

T or F? according to Einstein, a particle at rest has no energy at all

T or F? if a particle of rest mass m0 were entirely converted into energy, it would yield an energy of (m0)(c^2)

T or F? if it were possible to accelerate a particle near the speed of light, its relativistic mass would approach infinity

T or F? the relativistic expression for kinetic energy is the same as the classical (non-relativistic) equation for kinetic energy

T or F? when a particle moves at high speed, its relativistic mass is the same as its rest mass

Answer 1

Which of the following statements are true about relativistic mass, momentum and energy?

T or F? according to Einstein, a particle at rest has no energy at all :

F

Reason : Particle at rest has rest mass energy = m_oc²

T or F? if a particle of rest mass m0 were entirely converted into energy, it would yield an energy of (m0)(c^2)

T

T or F? if it were possible to accelerate a particle near the speed of light, its relativistic mass would approach infinity

T

Reason : Since, m = m_ov (1 - v²/c²)^-1/2

when v = c , then m = infinite

T or F? the relativistic expression for kinetic energy is the same as the classical (non-relativistic) equation for kinetic energy

F

Reason : K.E in classical mechanics = 0.5 mv²

K.E. in relativistic concepts = 0.5 m_ov (1 - v²/c²)^-1/2

T or F? when a particle moves at high speed, its relativistic mass is the same as its rest mass

F

Reason: m (at speed v) = m_ov (1 - v²/c²)^-1/2