a meter stick is moving towards right with a speed of 0.9c. the stick is making angle with 23 degree above the positive x axis. calculate the angle (above the +ve x axis measured by an observer at rest?
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Answer:
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Explanation:
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Lx = √0.19. Cos23°m
Ly = Sin23°m
Explanation:
Length contraction L = Lo√ (1 - V²/c²)
The x-component of length will get contracted by Lox = LoCosθ
= 1m.Cos23°
The y-component of length will get contracted by Loy = LoSinθ
= 1m.Sin23°
The location of the upper edge of the stick as it moves, the base end is assumed to be the origin.
Lx = Lox√ (1 - V²/c²)
= 1m. Cos23°.√ (1 - 0.9²/c²)
= √0.19. Cos23°m
The location of the upper edge of the meter stick is therefore
Lx = √0.19. Cos23°m
Ly = Sin23°m
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