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Q. 22

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1059

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Short Answer

A cube has a density of while at rest in the laboratory. What is the cube’s density as measured by an experimenter in the laboratory as the cube moves through the laboratory at of the speed of light in a direction perpendicular to one of its faces?

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Step by Step Solution

Step 1: Given Information

We have given that, a cube has a density of .

The cube moves through the laboratory at of the speed of light in a direction perpendicular to one of its faces.

Step 2: Simplify

At rest, the cube has a density of . That is, a cube with dimensions of has a mass of . The cube's dimension in the direction of motion is contracted as the cube moves at a speed of :

Because the other dimensions are unaffected, the new density is:

Therefore, Cubes density is .

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