PHYS171 exam 4 practice

# PHYS171 exam 4 practice - PHYS171 Exam 4 practice Fall 2011...

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PHYS171 Exam 4 practice Fall 2011 Name: _____________________ Student ID #: ________ 1 Questions/Problems 1) Explain why it is not practically possible for a particle to be accelerated to a speed greater than the speed of light. (The relativistic equations given at the end of this exam may be of use.) (5 points) 2) Explain why an object less dense than water will rise to the surface if immersed in a tank of water. Be quantitative (10 points)

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PHYS171 Exam 4 practice Fall 2011 Name: _____________________ Student ID #: ________ 2 3) What is the percent change in the momentum of a particle that accelerates from speed 0. 8c to 0.9c? Give the result assuming classical physics, and assuming relativity. 4) You weigh 50 kg and walk out on 10 m long a beam that weighs 100 kg. Assuming that the beam hangs from two cables, one attached to each end. What is the tension in each cable if you stand 2 meters from the end of the beam?
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Unformatted text preview: PHYS171 Exam 4 practice Fall 2011 Name: _____________________ Student ID #: ________ 3 Equations : Chapter 11 ω I L = , dt dL = ∑ τ , F r r r r × = , P r L r r r × = , dt L d r = ∑ , Chapter 12 = ∑ F r , = ∑ , ( ) ( ) l l A F E Δ = Chapter 13 V M = ρ , A F P = , gh P = , g dy dP − = , displaced gV g m F F F B = = Relativity 2 2 1 1 c v − = γ , t t Δ = Δ , l l = , mv p = , 2 mc E = (particle at rest), 2 mc E = (particle in motion), 2 mc K E + = , 4 2 2 2 2 c m c p E + = 2 1 c u v v u u x x x ′ + + ′ = , 2 2 2 1 1 c u v c v u u x y y ′ + − ′ = , 2 2 2 1 1 c u v c v u u x z z ′ + − ′ = Lorenz transform where S ′ moves at speed v with respect to S . ( ) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ′ + ′ = ′ = ′ = ′ + ′ = 2 c x v t t z z y y t v x x ( ) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − = ′ = ′ = ′ − = ′ 2 c vx t t z z y y vt x x...
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PHYS171 exam 4 practice - PHYS171 Exam 4 practice Fall 2011...

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