The elevator begins to move upward with acceleration a. There is a load of mass m on the floor

The elevator begins to move upward with acceleration a. There is a load of mass m on the floor of the elevator. The weight of the load is equal.

The weight of the body P is the force with which the body presses on the support or stretches the suspension.

When the body moves with acceleration directed upward, 2 forces act: gravity Ft directed vertically downward, force N, with which a support (lift floor) acts on the body, directed vertically upward.

m * a = m * g + N – 2 Newton’s law in vector form.

For projections onto the vertical axis of the OU, which is directed vertically upward, 2 Newton’s law will take the form: m * a = – Fт + N.

N = Ft + m * a.

The force of gravity Ft is determined by the formula: Ft = m * g.

N = m * g + m * a = m * (a + g).

According to Newton’s 3 laws, the force N with which the floor presses on the body is equal to the force with which the body presses on the floor P: N = P.

P = m * (a + g).

Answer: when moving with acceleration a upward, the body weight will be determined by the formula: P = m * (a + g).