(11)A bullet with a mass of 5.00 10-3 kg is loaded into a gun. The loaded gun has a mass of 0.52 kg. The bullet is fired, causing the empty gun to recoil at a speed of 2.1 m/s. What is the speed of the bullet?
(12)A Ferris wheel rotates with an initial angular speed of 0.50 rad/s and accelerates over a 7.00 s interval at a rate of 4.0 10-2 rad/s2. What is its angular speed?
(13)A child with a weight of 4.50 102 N sits on a seesaw 0.60 m from the axis of rotation. How far from the axis of rotation on the other side should a child with a weight of 6.00 102 N sit so the seesaw will remain balanced?
(14)A cave dweller rotates a pebble in a sling with a radius of 0.30 m counterclockwise through an arc length of 0.96 m. What is the angular displacement of the pebble?
(15) A test car moves at a constant speed around a circular track. If the car is 48.2 m from the track’s center and has a centripetal acceleration of 8.05 m/s2, what is its tangential speed?
(16) A pilot is flying a small plane at 30.0 m/s in a circular path with a radius of 100.0 m. If a force of 635 N is needed to maintain the pilot’s circular motion, what is the total combined mass of the pilot and the plane?
(17) Find the distance between a 0.300 kg billiard ball and a 0.400 kg billiard ball if the magnitude of the gravitational force is 8.92 x 10-11 N.
(18) A simple pendulum consists of a 3.0 kg point mass hanging at the end of a 2.0 m long light string that is connected to a pivot point.
(A) Calculate the magnitude of the torque (due to the force of gravity) around this pivot point when the string makes a 5.0 angle with the vertical.
(B) Repeat this calculation for an angle of 15.0.
(19) A uniform bridge 20.0 m long and weighing 4.00 x 105 N is supported by two pillars located 3.00 m from each end. Also, a 1.96 x 104 N car is parked 8.00 m from the left end of the bridge.
(A) How much force does the pillar on the left exert?
(B) How much force does the pillar on the right exert?
(20) A 400.0 N child and a 300.0 N child sit on either end of a 2.0 m long seesaw. Where along the seesaw should the pivot be placed to ensure rotational equilibrium?
