Question

1. Ведро с песком массой 24,5 кг поднимают при помощи неподвижного блока на высоту 10 м. На какую высоту опускается свободный конец каната, если на него действуют силой 250 Н? Чему равна работа по подъёму ведра (Апол) и работа силы, с которой тянут за верёвку (Асов)?

Answer 1

Асов = Fh = 2500Дж
Апол =mg = 245 Дж
h = 10 м так как блок не подвижный

Answer 2

Calculation of the Height the Free End of the Rope is Lowered

To calculate the height to which the free end of the rope is lowered, we can use the principle of work done. The work done on an object is equal to the force applied multiplied by the distance over which the force is applied.

In this case, the force applied is 250 N, and the distance over which the force is applied is the height to which the bucket is lifted, which is 10 m. Therefore, the work done on the bucket is:

Work (Apoll) = Force x Distance = 250 N x 10 m = 2500 J.

Since the work done on the bucket is equal to the work done by the force pulling the rope, the work done by the force is also 2500 J.

Calculation of the Height the Free End of the Rope is Lowered

To calculate the height to which the free end of the rope is lowered, we can use the principle of conservation of energy. The potential energy gained by the bucket when it is lifted is equal to the potential energy lost when it is lowered.

The potential energy gained by the bucket when it is lifted is given by the formula:

Potential Energy (Ep) = Mass x Gravity x Height.

The mass of the bucket is given as 24.5 kg, and the acceleration due to gravity is approximately 9.8 m/s^2. Substituting these values into the formula, we get:

Ep = 24.5 kg x 9.8 m/s^2 x 10 m = 2401 J.

Therefore, the height to which the free end of the rope is lowered is approximately 10 m.

Summary:

- The height to which the free end of the rope is lowered is approximately 10 m. - The work done on the bucket during the lifting process is 2500 J. - The work done by the force pulling the rope is also 2500 J.

Please note that the calculations provided are based on the information given in the question and may not account for other factors such as friction or the mass of the rope itself.