The rope can support a body weighing no more than 1000N. a load weighing 70 kg is lifted

The rope can support a body weighing no more than 1000N. a load weighing 70 kg is lifted on a rope. at what acceleration will the rope break?

Task data: P (maximum weight that the rope can hold) = 1000 N; m (mass of the load lifted on the rope) = 70 kg.

Reference values: g (acceleration due to gravity) = 9.81 m / s2.

The acceleration at which the rope breaks can be expressed from the formula: P = m * (g + a), whence a = P / m – g.

Calculation: a = 1000/70 – 9.81 = 14.29 – 9.81 = 4.48 m / s2.

Answer: The rope will break when lifting a given load with an acceleration of 4.48 m / s2.