Question 1- A 1.50-kg bucket of water is tied by a rope and whirled in a vertical circle with a radius of 1.20 m. The bucket swings at 38 rpm. Determine the tension in the rope when the bucket is upside-clown at the top of the circular loop.

Question 2- A toy is made using an upright stick with a spring attached to the top of the stick and a small ball attached to the other end of the spring. The toy is then spun so that the spring is horizontal and the ball is spun in a horizontal circle. The ball's mass is 180 g, the spring constant is 60 N/m, the radius of the ball's movement is 38 cm, and the ball's velocity is 2.6 m/s. How much has the spring extended past its equilibrium point?

Question 3- With what speed must in with a radius r rotate on a frictionless table so that M doesn't move? Assume m=1.4kg, M=10.0kg, and r=0.5m.