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

ID: 1271752 • Letter: W

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

Explanation / Answer

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 = moc2

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 = mov (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 mov (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) = mov (1 - v2/c2)-1/2

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