A force of 10 N is acting on an object at an angle of 120 degrees through a distance of 4m. Calculate the work done
Correct answer: A. -20 J
- A. -20 J
- B. 20 J
- C. 40 J
- D. -40 J
Explanation
Work done is given by the formula:W = F * d * cos(theta)where:W is the work doneF is the forced is the displacementtheta is the angle between the force and displacementIn this case, we have:F = 10 Nd = 4 mtheta = 120 degreesSubstituting these values into the formula, we get:W = 10 N * 4 m * cos(120 degrees)W = -20 JTherefore, the work done is -20 J.
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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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