A barrel weighing 100 kg is rolled up the inclined plane to a height of 1.5 m

A barrel weighing 100 kg is rolled up the inclined plane to a height of 1.5 m, applying a force of 200 N. The length of the plane is 10 m. Find the efficiency of the inclined plane.

To calculate the efficiency of the used inclined plane, consider the formula: η = Ap / Azatr = mb * g * h / (F * l).

Const: g – acceleration due to gravity (let us take g ≈ 9.81 m / s2).

Data: mb is the mass of the roll-in barrel (mb = 100 kg); h is the height of the plane used (h = 1.5 m); F – force applied to the barrel (F = 200 N); l is the length of the plane (l = 10 m).

Calculation: η = mb * g * h / (F * l) = 100 * 9.81 * 1.5 / (200 * 10) = 0.73575 ≈ 0.736 or 73.6%.

Answer: The efficiency of the used inclined plane is 73.6%.