A rectangular picture measure (at rest) 1 m tall (vertical) and 1.5 m wide (Hori

Question

A rectangular picture measure (at rest) 1 m tall (vertical) and 1.5 m wide (Horizontal). It is hung on the sidewall of a spaceship that is moving past the earth horizontally at a speed of o.95c. a) What are the dimensions (length and width) of the picture according to the captain inside the spaceship? b) What are the dimensions of the picture (length and width) as seen by the observer on Earth? c) What would the speed of the spaceship be to make the observer on the Earth sees the picture as a square with 1 m for each side?

Explanation / Answer

(a) length = 1.5 m

width = 1 m

(b) Y = 1 / sqrt[1 - (v/c)^2]

= 1 / sqrt[1 - 0.95^2]

= 3.203

length = 1.5 / Y = 0.47 m

width = 1 m

(c) Y = 1.5 / 1 = 1.5

1.5 = 1 / sqrt[ 1- (v/c)^2]

v = 0.745c

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