1. A sanding block is being pushed up a vertical wall by a force F that is being applied at an angle of ? = 33.0° to the vertical as shown in the diagram. The block is moving up the wall at a constant speed. The mass of the block is 0.523 kg and the coefficient of kinetic friction between the block and the wall is 0.937. Calculate the magnitude of the force F. To receive full marks, you must include a diagram showing the physical situation and your choice of coordinate system.

1. A sanding block is being pushed up a vertical wall by a force F that is being applied at an angle of ? = 33.0° to the vertical as shown in the diagram. The block is moving up the wall at a constant speed. The mass of the block is 0.523 kg and the coefficient of kinetic friction between the block and the wall is 0.937. Calculate the magnitude of the force F. To receive full marks, you must include a diagram showing the physical situation and your choice of coordinate system. 2.  A 46.7-kg person, initially at rest, throws a 0.143-kg snowball forward with a horizontal speed of 33.5 m/s. A second person, with a mass of 47.5 kg, catches the snowball. Both people are on skates. The first person is initially at rest, as mentioned, and the second person is initially moving with a speed of 1.45 m/s toward the first person. Disregard air resistance and the friction between the skates and the ice. Take the direction in which the snowball is thrown to be the positive direction. Indicate the directions of the final velocities with the signs of your answers. To receive full marks, you must include a diagram showing the physical situation. (a) Calculate the velocity of the first person immediately after they throw the snowball. (b) Calculate the velocity of the second person immediately after they catch the snowball. (a) thrower (first person)     m/s (Give your answer to at least three decimal places.)(b) catcher (second person)     m/s (Give your answer to at least three decimal places.) 3. A tire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular trajectory of radius h1 = 15.31 m. A child takes the tire to the top of a platform that is a height h2 = 12.60 m above the ground, sits in the tire, and swings from rest from the platform. The combined mass of the tire and child is 36 kg. The rope is taut when the child leaves the platform and you may neglect the mass of the rope. At the bottom of the circular trajectory, the child and tire are a height h3 = 0.99 m above the ground. To receive full marks, you must include a diagram showing the physical situation. (a) Calculate the speed of the child/tire at the bottom of the circular trajectory.  m/s (b) Calculate the maximum tension in the rope as the child/tire swing back and forth.  N  --