Determine the acceleration with which the body slides along an inclined plane 50 cm high and 1 m long.

Given:

H = 50 centimeters = 0.5 meters – the height of the inclined plane;

L = 1 meter – the length of the inclined plane;

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

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

Since it is not specified in the problem statement, we assume that the body slides without friction. Then only gravity acts on the body. Let the body weight be m. According to Newton’s second law, we find:

m * a = F gravity;

m * a = m * g * sin (y), where y is the angle of inclination of the plane to the horizon;

m * a = m * g * H / L;

a = g * H / L = 10 * 0.5 / 1 = 5/1 = 5 m / s ^ 2.

Answer: the acceleration of the body is 5 m / s ^ 2.