Physics 3210Week 7 clicker questionsThe work done in unwrapping a rope from a cylinder is given byWhat is the total work done?A.B. C.D. R0xW g x R sin dxR 22W gR cos 12 22cosW gR 12R 22W gR cos2 2W gR cos 12 What is the total kinetic energy of the rope-cylinder system?A.B. C.D. 221T m M R2 21T m M R2 2 2 2 211T R 2 R MR22 2211T R 2 R MR22 By combining momentum and energy conservation in the center-of-mass frame, what can you conclude about the initial and final speeds of particle 1?A.B. C.D. nothing11uv11uv11uv1u1vPhysics 3210Wednesday clicker questionsBy combining momentum and energy conservation in the center-of-mass frame, what can you conclude about the initial and final speeds of particle 1?A.B. C.D. nothing11uv11uv11uv1u1vSuppose we know ψ, V, and v1(magnitude, but not direction) and that V<v1. Note that the direction of the initial and final velocities are not known. How many CM scattering angles are possible? A. It can’t be determined.B. None.C. 1.D. 2.E. 3.1vVSuppose we know ψ, V, and v1(magnitude, not direction), and that V>v1. Note that the direction of the initial and final velocities are not known. How many CM scattering angles are possible? A. It can’t be determined.B. None.C. 1.D. 2.E. 3.1vVWe derived that if m1=m2, then What does this imply about the maximum scattering angle in the lab frame?A.B. C.D.E. nothing1v1vVtan tan2max max2max4max0What are the CM kinetic energies of particles 1 and 2 after the collision, in the limit m1<<m2?A.B. C.D.1 0 2T T ; T 01 2 0T 0; T T1 0 2 011T T ; T T221 0 2 0T T ; T TPhysics 3210Friday clicker questionsWhat are the lab frame kinetic energies of particles 1 and 2 after the collision, in the limit m1=m2?A.B. C.D.221200TTcos ; sinTT 221200TTsin ; cosTT 21200TTsin ; 1TT 21200TTcos ; 1TT In a homework problem, you derived that a comet scattering off the sun undergoes a deflectionWhat happens to the scattering angle if gravity is repulsive instead of attractive?A. The angle increases.B. The angle decreases.C. The angle stays the same.D. The magnitude of the angle stays the same, but its sign changes.E. The change in the angle depends on the mass of the comet.20ktan =2 mv bWhat is the integral of the solid angle increment dW= sinθ dθ dφall possible solid angles (that is, over the surface of a sphere)?A.B. C.D.E.d2Wd2W d4Wd4W d0WFor a beam with area A and total number of particles N, what is the total number of particles dN that passes through the segment between b and b+db and between φ and φ+dφ?A.B. C.D.NdN dbdANdN b dbdAdN NdbddN N bdbdA beam with area A passes through a target of length L and number density of particles n. Assume the target is larger in cross-sectional area than the beam (as sketched). What is the total number of target particles in the beam?A.B. C.D.ALLAnLnAnALtargetWhich of the following is a plot of the Rutherford scattering cross section?221224d q q 1d 16Esin2WWhat is the total cross section for Rutherford scattering? A.B. C.dd0d W Wddd W Wddd W
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