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RRB Group D 2023: A force of 20 N moves an object 3 m at an angle of 60° to the direction of force. What is the work done by the force?

medium Q14 of 15
General Science - Physics (Basics)
RRB Group D 2023: A force of 20 N moves an object 3 m at an angle of 60° to the direction of force. What is the work done by the force?
A30 Joules
B60 Joules
C10 Joules
D0 Joules
Step-by-Step Solution
  1. Step 1: Understand the formula

    Work done, W = Force × Displacement × cos θ.
  2. Step 2: Calculate work done

    Given Force = 20 N, Displacement = 3 m, θ = 60°.
    cos 60° = 0.5.
    W = 20 × 3 × 0.5 = 30 Joules.
  3. Final Answer:

    30 Joules → Option A
  4. Quick Check:

    Work done = F × d × cos θ = 30 Joules ✅
Quick Trick: Use cos 60° = 0.5 to simplify calculations.
Common Mistakes:
MISTAKES
  • Ignoring the angle or using sin instead of cos.
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