Reference no: EM133380851
Problems
1. A kid pushes a dining chair. If the total magnitude of the horizontal force acting on the chair is 11 N and the mass of the chair is m = 8 kg, find the magnitude of the acceleration of the chair (a=?).
2. A group of children are playing tug of war. One side is pulling to the right with a force of 900 N. The other side is pulling with a force of 889 N to the left. If the net mass of all the children is m = 1000 kg. Find the acceleration (include direction) of the group.
3. A student is doing an experiment with a force table. There are three forces acting on the ring, which has a mass of 0.01 kg. One force is given by F1 = (1.4, 3) N. The second force is given by a magnitude of F2 = 2.1 N and an angle of θ2 = 155? . The third force is given by F3 = 0.8 N and an angle of θ3 = 224? . Find the acceleration of the ring (a=?). 1
4. A crate of mass 100 kg lies on the floor. A person attempts to lift the crate by exerting a force of F1 = 500 N. How much force does the floor exert on the crate? Make sure to make a free body diagram showing all the forces acting on the crate before using Newton's laws.
5. You weigh yourself on a scale in an elevator at rest. Your mass is M = 70 kg. What force does the scale read in Newtons? Now suppose that the elevator you are in is accelerating upwards at a = 1 m/s 2 . What does the scale read in Newtons?
6. A block of mass M slides down a frictionless air-table that is inclined at an angle of θ = 51? . Draw a free body diagram of all the forces on the puck. Choose an appropriate reference frame to solve the problem. Find the acceleration of the puck as is glides down the inclined plane (a =?).
7. An astronaut in space is standing still and throws a ball. The mass of the astronaut is m = 80 kg, and he exerts a force of F = 10 N on the ball. What is the acceleration (a) of the astronaut? In what direction (with respect to the ball) is the astronaut moving after throwing the ball?
8. There are two boxes in contact with each other, one with mass M1 = 10 kg and the other one with mass M2 = 15 kg. The boxes lie on a frictionless surface (see figure). You exert a force of F = 10 N horizontally on M1 (from the left hand side). What is the force on M2? Next you go to the other side and exert the same force horizontally on M2 (from the right hand side). What is the force on M1?