The efficiency of the inclined plane is 70 percent. To lift a weight of 14 kg along it, a force of 60 N

The efficiency of the inclined plane is 70 percent. To lift a weight of 14 kg along it, a force of 60 N must be applied. What is the length of the inclined plane if its height is 30 cm?

Initial data: η (inclined plane efficiency) = 70% (0.7); m (weight of the load lifted along the plane) = 14 kg; F (applied force) = 60 N; h (height of the inclined plane) = 30 cm (0.3 m).

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

The length of the inclined plane is determined from the formula: η = Ap / Az = ΔEn / Az = m * g * h / (F * S), whence S = m * g * h / (η * F).

Calculation: S = 14 * 10 * 0.3 / (0.7 * 60) = 1 m.

Answer: The length of the inclined plane is 1 m.