A body weighing 1 kg moves along a horizontal plane in the direction of the OX axis. In addition to gravity

| September 1, 2021 | education

A body weighing 1 kg moves along a horizontal plane in the direction of the OX axis. In addition to gravity, the body is acted upon by a force F1 = 4N directed along the OX axis, and a force F2 = 3N directed at an angle of 45 to the horizon. find the acceleration with which the body moves if there is no coefficient of friction between the body and the plane.

To find the acceleration of the body in question, we project all the forces on the OX axis: m * a = F1 + F2 * cosα, from where we express: a = (F1 + F2 * cosα) / m.

Values of variables: F1 – the first acting force (F1 = 4 N); F2 – second force (F2 = 3 N); α is the angle between the direction of the second force and the horizon (α = 45º); m – body weight (m = 1 kg).

Calculation: a = (F1 + F2 * cosα) / m = (4 + 3 * cos 45º) / 1 = 6.12 m / s2.

Answer: The body moves with an acceleration of 6.12 m / s2.



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