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The given figure depicts the graph of work done vs. displacement under a constant force of 10 N. Which of the following statements is true?

The given figure depicts the graph of work done vs. displacement under a constant force of 10 N. Which of the following statements is true? Physics Competency Focused Practice Questions Class 10 Solutions.
  1. Force is acting at an angle of 0° with the displacement.
  2. Force is acting at an angle of 45° with the displacement.
  3. Force is acting at an angle of 60° with the displacement.
  4. Force is acting at an angle of 90° with the displacement.

Work, Energy & Power

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Answer

Force is acting at an angle of 60° with the displacement.

Reason — From the graph, when displacement d = 10 m, work done W = 50 J

Slope = 50J10m\dfrac{50\text{J}}{10\text{m}} = 5 Nm

Slope of work displacement graph=F cos θF cos θ=5 Nmcos θ=510cos θ=0.5cos θ=cos 60°θ=60°\text{Slope of work displacement graph} = \text{F cos θ} \\[1em] \text{F cos θ} = 5 \text{ Nm} \\[1em] \text{cos θ} = \dfrac{5}{10} \\[1em] \text{cos θ} = 0.5 \\[1em] \text{cos θ} = \text{cos } 60° \\[1em] \text{θ} = 60°

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