Exam (elaborations)
Special Relativity Questions with solutions
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Exam of 2 pages for the course Relativity at Relativity (Special Relativity)
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Special Relativitymaterial in space that vibrates to transmit light through space - answerether
1) laws of physics are the same for all frames of reference moving at constant velocity
with respect to one another
2) the velocity of light in a vacuum is the same for all observers, regardless of their
states of motion of the motion of the source of light - answerEinstein's theory of special
relativity
L = L₀√(1- (v²c²))
L₀ = length of the object as measured by someone moving along with it in an internal
frame of reference
L = length rod appears to be contracted - answerlength contraction
v = 1/√(1- (v₀²/c²))
- v = relativistic fact, v₀ = speed of moving observer, c = speed of light - answerThe
relativistic factor is the amount by which moving clocks slow down and lengths contract
as seen by an observer compared to those of another observer moving a speed v
t = t₀/√(1- (v²c²))
t₀ = proper time measured by a clock moving with observer - answertime dilation
m = m₀/√(1- (v²c²)) - answermass- special relativity
p = mv = m₀v/√(1- (v²c²)) - answerrelativistic momentum
the law of physics are the same for all inertial frames of reference - answerWhat is one
of the postulates of special relativity?
L = L₀√(1- (v²c²))
L₀ = 1.0m, v = 0.5c
L = 1√(1- ((0.5c)²c²)) = √(1- (0.5²)) = √(1 - 0.25) = √(0.75) = 0.87 m - answerWhat is the
perceived length of a meter stick if it is moving with a velocity of 0.5c relative to Earth?
Use E=mc² = (9.1•10⁻³¹)(9•10¹⁶) = 8.14•10⁻¹⁴ J = 0.512 MeV - answerWhat is the
energy equivalent of an electron at rest?
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