# The breaking strength of the rope is 1600 N. What is the maximum mass of the load that can be lifted

The breaking strength of the rope is 1600 N. What is the maximum mass of the load that can be lifted with this rope with an acceleration of 15 m / s ^ 2.

Given:

T = 1600 Newton – tensile strength of the rope;

a = 15 m / s ^ 2 – acceleration;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine the mass m (kilogram) of the load that can be lifted by this rope with acceleration a.

According to Newton’s second law:

T – F gravity = m * a;

T – m * g = m * a;

T = m * a + m * g;

T = m * (a + g);

m = T / (a + g) = 1600 / (10 + 15) = 1600/25 = 64 kilograms.

Answer: with the help of this rope with an acceleration of 15 m / s ^ 2, you can lift a maximum load equal to 64 kilograms. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.