If a machine overcomes a load 'L' and the distance travelled by the load is 'Ld', the work done by the load will be __________.

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 3)
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  1. L × Ld 
  2. \(\rm \frac{L}{Ld}\)
  3. \(\rm \frac{Ld}{L}\)
  4. \(\rm \frac{1}{L \times Ld}\)

Answer (Detailed Solution Below)

Option 1 : L × Ld 
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Detailed Solution

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=Concept:

Work done:

  • Work done on an object along a given direction of motion is equal to force times the displacement times the cosine of the angle.
  • Formula, work done, W = Fscosθ, where F = force, s = displacement, θ = angle between the displacement and the force.
  • The SI unit of work done is Joule (J).

Calculation: 

If a machine overcomes a load 'L' and the distance travelled by the load is Ld,

work done, W = Fscosθ

Here, θ = 0º, cos0º = 1

So, work done W = Fs

W = L × Ld

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