A skier weighing 60 kg is sliding down the mountain. at the same time, for any 3 s, its speed increases

A skier weighing 60 kg is sliding down the mountain. at the same time, for any 3 s, its speed increases by 1.5 m / s. determine the resultant of all forces applied to the skier

Given:

m = 60 kilograms – the mass of a skier rolling down a mountain;

t = 3 seconds – the time during which the speed of the skier changes;

dv = 1.5 m / s – the value by which the speed of the skier changes during time t.

It is required to determine F (Newton) – the resultant of all forces acting on the skier.

Since, according to the condition of the problem, the acceleration of the skier is constant, we will find its value:

a = dv / t = 1.5 / 3 = 0.5 m / s ^ 2.

According to Newton’s second law, this acceleration is imparted to the skier by the resultant of all forces. I.e:

F = m * a = 60 * 0.5 = 30 Newtons.

Answer: the resultant of all forces is 30 Newtons.