Question

A man pushes a lawn roller through a distance of 10m by applying a force of 100 in a
direction at an angle of to the ground. Work done by the applied force is
1) 500J
2) 500 erg
3) 1000J
4) 1000 erg​

Answer 1

Answer:

1000 j is the answereeeerrrr

Answer 2

Correct Question:

A man pushes a lawn roller through a distance of 10m by applying a force of 100 N in a direction at an angle of 60° to the ground. Work done by the applied force is

1) 500J

2) 500 erg

3) 1000J

4) 1000 erg​

Answer:

The correct answer is option 1) 500 J

Given:

Distance moved or displacement, s = 10 m

Force applied, F = 100 N

Angle between force and displacement, θ = 60°

Find:

The work done by the applied force.

Solution:

Work done is given by,

W = F·s

W = Fs cos θ                       ----------------------- (i)

where W = Work done

F = Applied force

s = Displacement

θ = Angle between force and displacement

Here, F = 100 N

s = 10 m

θ = 60°

Putting all the values in (i), we get

W = Fs cos θ

W = (100)(10) cos 60°

W = 1000 × 1/2                      [∵ cos 60° = 1/2]

W = 1000/2 Nm

W = 500 Nm

W = 500 J                            [∵ Nm = J]

∴ Work done by the force, W = 500 J

Hence, option 1) is correct.

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