With what acceleration does a 70 kg load rise on a cable if the cable tension is 910N?

Given:

T = 910 Newton – cable tension force;

m = 70 kilograms – weight of the cargo;

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

It is required to determine the acceleration of the load a (m / s ^ 2).

The pulling force of the cable and the acceleration of the body are directed upward, the force of gravity is directed downward. Then, for this case, Newton’s second law will look like this:

T – m * g = m * a, hence:

a = (T – m * g) / m = T / m – g = 910/70 – 10 = 13 – 10 = 3 m / s ^ 2.

Answer: the load rises upward with an acceleration of 3 m / s ^ 2.