A Gardner moves a lawn roller through a distance of 100 m . with the force of 50 Newton . calculate his wages if he is to be paid 10 paise for doing 25 joules of work . it is given that the force is inclined at 60^°in the direction of motion.

force in direction of motion:50*sin60=25N

work= force*distance=25*100

pay= work*10/25)=1000paise

To calculate the gardener's wages, we first need to find the amount of work done by the gardener.

The work done by an object can be calculated using the formula:

Work = Force × Distance × cos(θ)

Where:
- Work is measured in joules (J)
- Force is measured in newtons (N)
- Distance is measured in meters (m)
- θ is the angle between the force and the direction of motion (in degrees)

Given information:
- Force (F) = 50 N
- Distance (d) = 100 m
- θ = 60°

First, we need to convert the angle from degrees to radians by multiplying θ by (π/180):

θ_rad = 60° × (π/180) = π/3 radians

Then, we can calculate the work done:

Work = 50 N × 100 m × cos(π/3)

Now, let's calculate the value of cos(π/3):

cos(π/3) = 0.5

Substituting this value into the formula:

Work = 50 N × 100 m × 0.5

Work = 2500 J

The gardener has done 2500 joules of work. According to the given information, the gardener is paid 10 paise for every 25 joules of work. So, we can find the gardener's wages by dividing the total work done by 25 and multiplying it by 10 paise:

Wages = (2500 J / 25 J) × 10 paise

Wages = 100 × 10 paise

Wages = 1000 paise

Therefore, the gardener's wages would be 1000 paise.