Physics 3210Week 5 clicker questionsThe central-force Lagrangian isWhat is the Lagrangian equation of motion in r?A.B. C.D. 2 2 21r r U r2L 2r r F r 2r r U r r r F r 2r r U r A particle is observed to move in a spiral orbit r=k. What is the force law that produces this orbit?A.B. C. 22322kF r 1rr 22222kF r 1rr D. E. 2232F r 1rr 2223kF r 1rr 232kF r 1rrA particle moves in an orbit where its radius alternately increases and decreases with time. What determines the turning points of the motion?A.B. C.r0D. E.dr0dt22dr0dtdr0d22dr0dIn one transit from rminback to rmin, an orbit moves by an angle D. What condition on Dmust hold if the orbit closes on itself?A.B. C.0DD. E.2D 2 a, a integerD 2, a integeraD 2a, a and b integersbD Physics 3210 Week 5Wednesday clicker questionsExam grade distributionMedian = 66Standard deviation = 22Current course grade=55% exam, 45% homeworkIn one transit from rminback to rmin, an orbit moves by an angle D. What condition on Dmust hold if the orbit closes on itself?A.B. C.0D D. E.2D 2 a, a integerD 2, a integeraD 2a, a and b integersbD Which of these plots show a physically possible V(r) for the gravitational potential?A.B.C.D.For motion in gravitational potential characterized by V(r) as plotted, what type of motion corresponds to total energy E2?A. Bounded circular motion with a fixed r.B. Bounded motion between a minimum and maximum r.C. Unbounded motion with a minimum r but no maximum r.D. Unbounded motion with neither a minimum nor a maximum r.For motion in gravitational potential characterized by V(r) as plotted, what type of motion corresponds to total energy E1?A. Bounded circular motion with a fixed r.B. Bounded motion between a minimum and maximum r.C. Unbounded motion with a minimum r but no maximum r.D. Unbounded motion with neither a minimum nor a maximum r.Given the equationand the constantswhat is the correct way to rewrite the orbit equation?A.B. C.D. E.22211krcos2E1k2222E, 1kk =1+ cosrr=1+ cos=1 cosr r=1 cos r= 1+ cos We showed thatWhat is the correct value of when E=Vmin?A.B. C.D. E.2min2kV2011 22 Physics 3210 Week 5Friday clicker questionsWe showed thatWhat is the correct range of when Vmin<E<0?A.B. C.D. E.2min2kV20101 12 10 Which orbit corresponds to motion with larger total energy?C. The orbits correspond to motion with equal energy.D. It cannot be determined from the information given.What is the correct value of when E=0?A.B. C.D. E.011 22 Which parabolic orbit corresponds to motion with larger angular velocity (at a given angle)?C. The orbits correspond to motion with equal angular velocity.D. It cannot be determined from the information given.What is the correct range of when E>0?A.B. C.D. E.001 12 10Which hyperbolic orbit corresponds to motion with larger total energy?C. The orbits correspond to motion with equal energy.D. It cannot be determined from the information
View Full Document