1) A simple pendulum consists of an object with mass m attached to a string with length L. When the object swings upward making an angle of θ with respect to the vertical direction how much work is done by the tension force of the string?
2) Two friends are sitting in two canoes in the middle of a lake. Both canoes are initially motionless when one of the friends pushes the other canoe to separate them. Consider the canoes and people as the system. After pushing the canoes, what is the total momentum and the total kinetic energy qualitatively (i.e. zero, nonzero, more, less)?
3) A slingshot shoots a rock, and then a steel ball with twice the mass of the rock. The force exerted by the slingshot in each case is the same and is exerted for the same distance. What can we say about the momentum and kinetic energy of the rock and the ball qualitatively (i.e. zero, nonzero, more, less)?
4) A ball of mass m strikes a wall that is perpendicular to its path at speed v and rebounds in the opposite direction with the same speed. What is the magnitude of the impulse imparted to the ball by the wall?
5) Alas, you make it to the end of your Physics 2414 exam, but unfortunately you start to daydream about your favorite movie series, Star Wars, and the much anticipated return in the coming winter. You imagine your old pals Han Solo and Chewie flying the Falcon around space and shooting at Imperial fighters. After defeating the Imperial dogs, Han brings the Falcon in for landing on a carrier of mass 6500kg rotating at an angular velocity of 1.8 rads/s. If the carrier is in the shape of a disc and has a diameter of 300m, what is the angular velocity after the 1000kg Falcon lands 100m from the edge of the carrier, assuming no torque is acting on the carrier? (We can assume the Falcon as having similar moment of inertia as a point.)