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Q. 63

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1061

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Short Answer

A rocket is fired from the earth to the moon at a speed of . Let two events be “rocket leaves earth” and “rocket hits moon.” a. In the earth’s reference frame, calculate ∆x, ∆t, and the space time interval s for these events.

b. In the rocket’s reference frame, calculate ∆x′, ∆t′, and the space time interval s′ for these events.

c. Repeat your calculations of part a if the rocket is replaced with a laser beam.

a.=distance between earth and moon

b.

c. = distance between earth and moon

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information

We have given,

speed of rocket =

We have to find the in earth reference frame.

Step 2: Simplify

We know that,

=distance between moon and earth

and,

then,

the space time interval of s is,

Part (b) Step 1: Given information

We have given,

speed of rocket =

We have to find the in rocket reference frame.

Step 2: Simplify

We know that,

and,

then,

the space time interval of s is,

Part (c) Step 1: Given information

We have given,

Speed of rocket =

We have to repeat the calculation a for laser light.

Step 2: Simplify

We know that,

and

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