When a force of 400N is applied on a body at an anglesvof 60° to the horizontal direction of displacement the body covers a distance of 8m calculate the work done
work = force * distance
so calculate the effective force.
To calculate the work done, we can use the formula:
Work (W) = Force (F) × Displacement (s) × cos(θ)
where:
- W is the work done
- F is the force applied
- s is the displacement
- θ is the angle between the force and the displacement
Given:
- Force (F) = 400 N
- Displacement (s) = 8 m
- Angle (θ) = 60°
Plugging these values into the formula, we have:
Work (W) = 400 N × 8 m × cos(60°)
To find the value of cos(60°), we can use the cos function on a calculator or refer to a trigonometric table. The cosine of 60 degrees is 0.5.
Work (W) = 400 N × 8 m × 0.5
Simplifying the equation:
Work (W) = 200 N/m × 8 m
Finally, calculating the work done:
Work (W) = 1600 N·m or 1600 Joules (J)
Therefore, the work done is 1600 Joules (J).