With what minimum speed must you toss a 160 g ball straight up to just touch the 13-m-high roof of the gymnasium if you release the ball 1.4 m above the ground? solve this problem using energy.

At 20∘c, the hole in an aluminum ring is 2.800 cm in diameter. you need to slip this ring over a steel shaft that has a room-temperature diameter of 2.804 cm . 1. to what common temperature should the ring and the shaft be heated so that the ring will just fit onto the shaft? coefficients of linear thermal expansion of steel and aluminum are 12×10−6 k−1 and23×10−6 k−1 respectively.