A body travels a displacement of 10 m by a force of 5 N. If the work done is 25 J, then the angle between F and displacement is
Correct answer: D. 60∘
- A. 0∘
- B. 45∘
- C. 30∘
- D. 60∘
Explanation
The work done (W) is given by W=F⋅d⋅cos(θ), where F is the force, d is the displacement, and θ is the angle between F and d. Given W=25J, F=5N, and d=10m, solving for θ, we get θ=60∘.Incorrect Options Explanation:(a) 0∘: If the angle were 0∘, the cosine of 0∘ is 1, which would make the work done 5N×10m×1=50J, not 25J.(b) 45∘: This angle wouldn't result in the given work done of 25J.(c) 30∘: This angle wouldn't result in the given work done of 25J.
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About Work and Energy
Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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