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Notes on Relativity and Cosmology - Physics Department, UCSB

Notes on Relativity and Cosmology - Physics Department, UCSB

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1.8. HOMEWORK PROBLEMS 41<br />

Floor<br />

Ceiling<br />

Note: Your answer should c<strong>on</strong>sist of a single diagram for each part below.<br />

a) The rocket engines are off. You are holding <strong>on</strong> to the ceiling (as shown<br />

below) <strong>and</strong> then let go at t = 0. Draw the diagram using an inertial<br />

frame that is at rest (not moving) relative to you before you let go.<br />

b) As in (a), but this time you push yourself away from the ceiling as you<br />

let go.<br />

c) This time, the rocket engines are <strong>on</strong> (the whole time, including the time<br />

before t = 0). You are holding <strong>on</strong> to the ceiling <strong>and</strong> let go at t = 0.<br />

Draw the diagram using an inertial frame that is at rest relative to you<br />

at the instant 5 just before you let go.<br />

d) As in (c), but use the reference frame of the rocket.<br />

e) As in (c), again using an inertial frame, but now suppose that you push<br />

yourself away from the ceiling as you let go.<br />

f) In which of the above is your frame of reference inertial during the<br />

entire time shown <strong>on</strong> your diagram?<br />

x<br />

5 If something is at rest relative to you at some instant, it has the same velocity as you do<br />

at that instant, but its accelerati<strong>on</strong> may differ.

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