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Solving problems which involve forces, friction, and Newton's Laws: A step-by-step guide

This step-by-step guide is meant to show you how to approach problems where you have to deal with moving objects subject to friction and other forces, and you need to apply Newton's Laws. We will go through many problems, so you can have a clear idea of the process involved in solving them.

The problems we will examine include objects that


  1. Box pulled at an angle over a horizontal surface
  2. Block pushed over the floor with a downward and forward force
  3. Object moving at constant velocity over a horizontal surface
  4. Block pushed up a frictionless ramp
  5. Mass pulled up an incline with friction
  6. A mass hanging from two ropes
  7. Two hanging objects connected by a rope
  8. Two masses on a pulley