1. A jet plane traveling 1800 km/h (500 m/s) pulls out a dive by moving in an arc of radius 6.00 km. What is the plane’s acceleration, in terms of g’s?

2. A child on a merry-go-round is moving with a speed of 1.35 m/s when 1.20 m from the center of the merry-go-round. Calculate (a) the centripetal acceleration of the child, (b) the net horizontal force exerted on the child (mass = 25.0 kg).

5. A flat puck (mass M) is rotated in a circle on a frictionless air hockey tabletop, and is held in this orbit by a light chord which is connected to a dangling mass (mass m) through a central hole. Show that the speed of the puck is given by v = squareroot(mgR/M).

8. A ball on the end of a string is cleverly revolved at a uniform rate in a vertical circle of radius 85.0 cm. If its speed is 4.15 m/s and its mass is 0.300 kg, calculate the tension in the string when the ball is (a) at the top of its path and, (b) at the bottom of its path.