# A material point with a mass of m = 1kg moves along a circle with a radius of r = 2m

**A material point with a mass of m = 1kg moves along a circle with a radius of r = 2m at a speed v = 2t. Determine the modulus of the resultant forces acting on the point at time t = 1s.**

Given:

m = 1 kilogram is the mass of a material point;

v = 2 * t – dependence of the point speed on time;

r = 2 meters – the radius of the circle along which the point moves;

t = 1 second – time interval.

It is required to determine the modulus of the resultant forces F (Newton) at time t.

Let’s find the speed of a material point at time t:

v = 2 * t = 2 * 1 = 2 m / s.

Then the acceleration is equal to:

a = v ^ 2 / r = 2 ^ 2/2 = 2 m / s ^ 2.

The modulus of the resultant forces will be equal to:

F = m * a = 1 * 2 = 2 Newtons.

Answer: the modulus of the resultant forces is 2 Newtons.