A person can develop a pulling force of about 600N. What kind of load can he roll up an inclined plane

A person can develop a pulling force of about 600N. What kind of load can he roll up an inclined plane, which is 1 m high and 4 m long?

F = 600 N.

g = 9.8 m / s ^ 2.

h = 1 m.

S = 4 m.

m -?

According to 1 Newton’s law, a body moves uniformly in a straight line if the action of forces on it is compensated.

The body is acted upon by the force F, with which the load is pulled, directed along the surface of the inclined plane, the force of gravity m * g directed vertically downward, the reaction force of the support N directed perpendicular to the plane upward.

0 = F + m * g + N.

OH: F = m * g * sinα.

OU: m * g * cosα = N.

sinα = h / S.

F = m * g * h / S.

We find the mass of the body by the formula: m = F * S / g * h.

m = F * S / g * h.

m = 600 N * 4 m / 9.8 m / s ^ 2 * 1 m = 244.9 kg.

Answer: a person can tighten a load weighing m = 244.9 kg.