The speed of a material point changes according to the law Vx is equal to 5-3t under the action

The speed of a material point changes according to the law Vx is equal to 5-3t under the action of a force 6 H what is the mass of the point.

Given:

v (t) = 5 – 3 * t – the equation of the dependence of the speed of a material point on time;

F = 6 Newton – force acting on a material point.

It is required to determine the mass of a material point m (kilogram).

Let’s find the acceleration with which the material point moves:

a = v (t) ‘= (5 – 3 * t)’ = -3 m / s ^ 2 (the minus sign means that the motion is uniformly slowed down. We only care about the acceleration module, so we do not take into account the minus further).

Then the mass of a material point according to Newton’s second law will be equal to:

m = F / a = 6 / -3 = 2 kilograms.

Answer: the mass of a material point is 2 kilograms.