A15 kg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder 0.300 m in diameter with mass 12.0 kg. the cylinder pivots on a frictionless axle through its center. the bucket is released from rest at the top of a well and falls 10.0 m to the water a. what is the tension in the rope while the bucket is falling? b. what is the acceleration of the bucket? c. with what speed does the bucket strike the water? d. what is the time of fall?

Awater balloon launcher uses an elastic band with a spring constant of 115 n/m to use thee launcher you stretch thee band back with a balloon n it the water balloons have a mass of 1.3 kg a) if you stretch the band by 0.8 m, what elastic force will the band exert? b) with the band stretched 0.8 m, how much elastic potential energy is stored in the spring? c) if you release the band, it pushes forward. what is the kinetic energy of the balloon when it reaches the natural length of the band? d) what is the speed of the balloon when it reaches the natural length of the band?