Question

Скорость материальной точки изменяется по закону vx = 5 + 3t под действием силы 6 Н. Какова масса точки?

Answer 1

Ускорение из уравнения а=3 м/с²
Масса m=F/a, m=6/3 =2кг

Answer 2

Calculation of Mass of the Particle

To determine the mass of the particle, we need to analyze the given information. According to the problem statement, the velocity of the particle is given by the equation vx = 5 + 3t, and it is subjected to a force of 6 N.

To find the mass of the particle, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force acting on the particle is 6 N, and the acceleration can be calculated as the derivative of the velocity with respect to time.

Taking the derivative of the given velocity equation, we get:

ax = d(vx)/dt = 3

Now, we can substitute the values into Newton's second law equation:

F = m * a

6 = m * 3

Solving for the mass (m), we find:

m = 6/3 = 2 kg

Therefore, the mass of the particle is 2 kg.