Find the Work done when an inclined plane of length 2•5m is used to lift a load through a height of 1•25m by a horizontal force of 40N
To calculate the work done, we can use the formula:
Work = Force × Distance
First, let's find the distance. Given that the inclined plane has a length of 2.5m and the load is lifted through a height of 1.25m, we can use the Pythagorean theorem to find the distance along the inclined plane.
Distance = √(length^2 + height^2)
Distance = √(2.5^2 + 1.25^2)
Distance = √(6.25 + 1.5625)
Distance = √(7.8125)
Distance ≈ 2.793 m
Now we can calculate the work done:
Work = Force × Distance
Work = 40 N × 2.793 m
Work ≈ 111.72 Joules
Therefore, the work done when using the inclined plane to lift the load is approximately 111.72 Joules.
To find the work done when an inclined plane is used to lift a load, we can use the formula:
Work = Force x Distance
First, let's find the distance the load is lifted. Given that the inclined plane has a length of 2.5m and the load is lifted through a height of 1.25m, we can use the Pythagorean theorem to find the distance:
Distance = √(length² + height²)
Distance = √(2.5² + 1.25²)
Distance = √(6.25 + 1.5625)
Distance = √7.8125
Distance = 2.79m (rounded to two decimal places)
Now, we can calculate the work done using the given horizontal force of 40N and the distance of 2.79m:
Work = Force x Distance
Work = 40N x 2.79m
Work = 111.6 Joules
Therefore, the work done to lift the load through a height of 1.25m using a horizontal force of 40N on the inclined plane is 111.6 Joules.