Section 2.7: Mixed Practice

This section combines multiple types of Newton's Laws problems for comprehensive practice.

Tips for Mixed Practice:
  • Identify forces for each object in multi-part systems.
  • Use free-body diagrams consistently.
  • Apply Newton’s Second Law along the correct axes.
  • Break complex problems into smaller steps.
  • Check results for physical consistency.

Practice Problems

  1. Block on a 30° incline connected to a hanging mass. Compute acceleration and tension.
  2. Two blocks on a frictionless surface pulled by a single force. Find tensions and acceleration.
  3. Block on a 25° incline with µk = 0.1. Find acceleration down the incline.
  4. Three-block pulley system. Compute acceleration and all tensions.
  5. Block on horizontal surface with applied force and friction. Find net force and acceleration.
  6. Block on incline with friction connected to a hanging mass. Solve for acceleration.
  7. Two blocks connected over a pulley with friction. Find acceleration and rope tension.
  8. Block on 20° incline with friction. Find normal force, friction, and acceleration.
  9. Block sliding down incline with varying angles. Determine net force and acceleration.
  10. Multi-block system on horizontal and inclined surfaces. Find all accelerations and tensions.