Question

In: Physics

Which of the following statements are true about relativistic mass, momentum and energy? T or F?...

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

Solutions

Expert Solution

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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