
共計3小時考試時間
此套試卷由25道選擇題以及3道大題組成
每道大題含有不同數量的小題
1) A ball is attached to a cylinder by a string and is given an initial speed V1 at time t1. The ball moves along a frictionless surface and the cylinder is xed and cannot rotate. What is the speed of the ball at a later time t2?
a) V2 = L1L2V1
b) V2 = L1+RL2+RV1
c) V2 = L21+R2L22+R2 V1
d) V2 =pL21+R2pL22+R2 V1
e) V2 = V1
2) In the previous question, at t = t1, at what rate does the string wind around the cylinder (i.e. at what speed does L1 get shorted)?
a) L1R V1
b) L1+RR V1
c) RL1V1
d) R2L21V1
e) L21R2 V1
3) Three planets, each with same mass, orbit in dierent orbits around the same star. Which statement is true about the total energy of the three orbits? Assume that mplanets Mstar.2
a) E1 < E2 < E3
b) E2 < E1 < E3
c) E3 < E2 < E1
d) E3 < E1 < E2
4) Charged particles with mass m and charge Q are in-jected with speed v into a region with a constant magneticeld. The particles are injected in a direction perpendic-ular to the magnetic eld lines and are found to move in circular orbits with period T. If the experiment is repeated for particles with mass 2m, charge Q=4, while the magnetic eld strength is tripled, what is the orbital period of the particles in the new experiment?
a) 8T/3
b) 3T/2
c) 4T/3
d) 2T
e) T/3
5) In the cube shown below, each edge is a wire with resistance R. What is the equivalent resistance between points A and B?
a) R
b) 13R
c) 23R
d) 12R
e) 56R
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