Question
Download Solution PDFWhen a force of 50 N is applied on an object of 5 kg, it covers a horizontal distance of 5 m. Calculate the amount of work done in this case.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Work is said to be done by a force when the body is displaced actually through some distance in the direction of the applied force.
- Since the body is being displaced in the direction of F, therefore work done by the force in displacing the body through a distance s is given by
\(W = \vec F \cdot \vec s\)
Or, W = Fs cos θ
- Thus work done by a force is equal to the scalar or dot product of the force and the displacement of the body.
CALCULATION:
Given that:
Force (F) = 50 , Displacement (s) = 5 m and θ = 0 (because the force is in the direction of motion)
To find the amount of work done in this case, we must apply the following formula:
⇒ W = Fs cosθ
⇒ W = 50 × 5 = 250 J
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