WeekProb_Mar_9

# WeekProb_Mar_9 - here(d To reconcile(b with(c consider the...

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October 18, 2004 1. Consider a T shaped block headed for a U shaped block, as in Figure 1. If the T is long enough, it will hit the button in the crevice of the U block, setting oﬀ the dynamite. When at rest, the leg of the T is measured to be L 1 = 4 meters. Also at rest, the legs of the U block are measured to be L 2 = 5 meters. Thus, when at rest, the T is NOT long enough to hit the button and set oﬀ the dynamite. In an attempt to make the dynamite explode, the T is sent towards the U so that its contraction factor is γ = 2. We want to know if the dynamite explodes, or not. (a) Find the speed of the T in the U frame, and the also speed of the U in the T frame. (b) Find the length of the U in the T frame. Does the dynamite explode? (c) Find the length of the T in the U frame. Does the dynamite explode

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Unformatted text preview: here? (d) To reconcile (b) with (c), consider the U frame. Find the following two quantities in the U frame: i. How much time elapses from the time the back of the T hits the end of the U until the front of the T hits the button on the U, assuming the front of the T keeps moving at the speed you found in (a)? ii. How much time does it take a light signal leaving the back of the T/end of the U to reach the button on the U, assuming it leaves the back of the T right when the back of the T hits the end of the U? (e) Now, answer the overall question: does the dynamite explode, or not? If so, why? If not, why not? 1 Figure 1: T and U 2...
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## This note was uploaded on 10/05/2009 for the course PHYSICS 7C taught by Professor Lin during the Spring '08 term at Berkeley.

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WeekProb_Mar_9 - here(d To reconcile(b with(c consider the...

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