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a force applied on a body of mass 5 kg produces an acceleration of 2 ms-2 and the body covers a distance of 100m in the direction of the applied force . calculate the work done by the force |
Answer» Given :Mass of the body = 5kg Acceleration = 2m/s² Distance covered = 100m To find :The work DONE by the force Solution :We KNOW that work done is product of froce and distance. So, firstly let's find force applied on the body USING Newton's second law of motion that is The RATE of change of momentum of a body is directly proportional to the applied force and takes PLACE in the direction in which force acts. F = ma here, F denotes force, m denotes mass and a denotes acceleration. by substituting all the given values in the formula, ➝ F = ma ➝ F = (5)(2) ➝ F = 10 N Now, using work done formula .i.e., W = F × d where, F denotes force and d denotes distance covered by substituting the value in the formula, ➝ W = F × d ➝ W = 10 × 100 ➝ W = 1000 J Thus, work done by the force is 1000 Joules. Remember !SI unit of force is Newton SI unit of work done is joules |
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