Calculating Work Done by Friction

Introduction

• Discusses calculating work done against friction.
• Scenario: An object moving with a constant speed when a force is applied.

Key Concepts

• Constant Speed:
  • Indicates that the total net force is zero.
  • Applied force and friction force are equal.
• Object Details:
  • Mass: 50 kg.
  • Moves with constant speed (e.g., 5 m/s).

Calculating Work Done

1. Given: Object Moves 5 Meters

   • Calculate work done by applied force over this distance.

2. Equilibrium Condition:

   • Object moving at constant speed implies:
     • Applied force = Friction force.
     • Total force = 0.

3. Simulation:

   • Demonstrated using a simulation.
   • When applied force > friction force, object starts moving.
   • If forces are equal, object is either stationary or moving at constant speed.

Calculation Details

• Friction Force Calculation:
  • Friction force = Applied force.
  • Use friction force formula: F_friction = μN.
    • μ (mu) = coefficient of kinetic friction = 0.4.
    • N = normal force = mg (mass * gravity).
• Normal Force:
  • N = 50 kg * 9.8 m/s² = 490 N.
• Friction Force:
  • F_friction = 0.4 * 490 N = 196 N.*

Calculating Work Done

• Formula:
  • Work = Force * Displacement.
  • Here, Force = 196 N (since it's constant speed).
  • Displacement = 5 m.
  • Work = 196 N * 5 m = 980 Joules.

Conclusion

• The work done against friction is 980 Joules.
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