no work is done by the body when angle between forces and displacement is
Correct answer: C. 90
- A. 0
- B. 45
- C. 90
- D. 60
Explanation
Work done by a force: Work is defined as the transfer of energy from a force acting on an object through a certain distance. It is calculated using the formula:Work (W) = Force (F) x Displacement (d) x cos(θ)where:F is the magnitude of the force.d is the magnitude of the displacement.θ is the angle between the force and the displacement vectors.Understanding the role of the angle:θ = 0°: If the force and displacement are acting in the same direction, the cosine of the angle (cos(0°)) is 1, resulting in the maximum work done (W = F x d).θ = 90°: If the force and displacement are acting at a right angle (90°), the cosine of the angle (cos(90°)) is 0. This results in no work done (W = F x d x 0) because the force doesn't contribute to the movement in the direction of displacement.0° < θ < 90° or 90° < θ < 180°: As the angle deviates from 0° or 180°, the cosine value decreases towards 0, resulting in progressively less work done compared to the scenario where the force and displacement are completely aligned.Therefore, when the angle between the force and displacement is 90°, the cosine term becomes zero, leading to no work done by the force on the object, making it the correct answer among the options
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