You sit on a sled and get two of your dogs, Lady and Tramp, to pull you. You attach a rope to each of them and they drag you across level snow. The angle between the two ropes is 22° and the force due to friction is 800 N. With what force must each dog pull with to pull you at a steady 3.0 m/s?

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.