Question

A force of 10N displace an object by 10m. If work done is 50J then what is the direction of force make an angle with direction of displacement?

Answer 1

Answer: 60 degrees

Work = Force * displacement * cos($\theta$)

   50 = 10 * 10 * cos ($\theta$)

  50 = 100 * cos ($\theta$)

50/100 = cos ($\theta$)

1/2 = cos ($\theta$)

Therefore, ($\theta$) = 60 degrees

 

Answer 2

Answer:

The direction of force makes an angle of 60° with direction of displacement.

Explanation:

Given: Force, F = 10 N

   displacement, s = 10 m

    Work done, W = 50 J

To find: the angle between the direction of force and displacement.

Solution: #We know that, by formula:

                      W = F s cos∅

where,        W = work done

                   F = force

                   s = displacement

Putting the given values in the formula, we get:

              50 = 10 × 10 × cos∅

          50/100 = cos∅

                cos∅ = 1/2

                cos∅ = cos60°  [∵ cos 60° = 1/2]

                      ∅ = 60°

Hence, the direction of force makes an angle of 60° with direction of displacement.