With the help of a movable block, a load of a certain mass was raised to a height of 4 m, while a force of 100 N

| September 22, 2021 | education

With the help of a movable block, a load of a certain mass was raised to a height of 4 m, while a force of 100 N was applied to the free end of the rope, determine the mass of the load if the installation efficiency is 80%.

These tasks: h (height of lifting of a load of a certain mass) = 4 m; the lifting of the load was carried out by a movable block; F (applied force) = 100 N; η (efficiency of the installation used) = 80% (0.8).

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

The mass of the cargo can be expressed from the formula for calculating the efficiency of the installation: η = Ap / Az = ΔEp / Az = m * g * h / (F * S) = m * g * h / (F * 2h) = m * g / 2F , whence m = 2F * η / g.

Calculation: m = 2 * 100 * 0.8 / 10 = 16 kg.

Answer: The weight of the lifted load is 16 kilograms.



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