Question
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
Answers
Answered by
GPT 3.5
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.
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.