A box is cubical with sides of proper lengths L 1 = L 2 = L 3 = 1.9 m, as shown

Question

A box is cubical with sides of proper lengths L1 = L2 = L3 = 1.9 m, as shown in the figure below, when viewed in its own rest frame. This block moves parallel to one of its edges with a speed of 0.86c past an observer.

A box is cubical with sides of proper lengths L1 = L2 = L3 = 1.9 m, as shown in the figure below, when viewed in its own rest frame. This block moves parallel to one of its edges with a speed of 0.86c past an observer. What is the length of each side as measured by this observer? Assume that the side that the block is moving parallel to is L1. L1 = m L2 = m L3 = m

Explanation / Answer

The length in the direction of motion (l1) is contracted by a factor of:
gamma = 1 / sqrt (1- (v/c)^2)

The lengths in the other two directions do not change.

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