Question

Шарики сталкиваются между собой, при этом второй шар получил ускорение , равное 0,1 м/с^2. Определите значение силы их взаимодействия и ускорение второго шара , если масса первого шарика 500г, масса второго 300г. Помогите пожалуйста!!!

Answer 1

Ответ:

Дано:

m₁=1 кг.

a₁=0,2 м/с²

a₂=0,4 м/с²

Найти: m₂

Решение:

По третьему закону Ньютона: сила действия равна силе противодействия: F₁=F₂

Первая сила F₁=m₁*a₁, вторая сила: F₂=m₂*a₂. 

Т.к. силы равны, значит можно приравнять правые части выражений:

m₁a₁=m₂a₂ ----> отсюда выразим массу второго тела:

m₂=m₁a₁/a₂=(1*0,2)/0,4=0,5 кг.

Ответ: m₂=0,5 кг.

Answer 2

Calculation of the Force and Acceleration

To determine the force of interaction and the acceleration of the second ball, 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.

Let's denote the mass of the first ball as m1 (500g or 0.5kg) and the mass of the second ball as m2 (300g or 0.3kg). The acceleration of the second ball is given as 0.1 m/s^2.

According to Newton's second law, the force of interaction between the two balls can be calculated using the formula:

F = m2 * a

where F is the force of interaction, m2 is the mass of the second ball, and a is the acceleration of the second ball.

Substituting the given values into the formula, we get:

F = 0.3 kg * 0.1 m/s^2

Calculating this, we find that the force of interaction between the two balls is:

F = 0.03 N

Therefore, the value of the force of interaction between the two balls is 0.03 Newtons.

To calculate the acceleration of the second ball, we can rearrange Newton's second law formula:

a = F / m2

Substituting the values we have:

a = 0.03 N / 0.3 kg

Calculating this, we find that the acceleration of the second ball is:

a = 0.1 m/s^2

Therefore, the value of the acceleration of the second ball is 0.1 m/s^2.

Conclusion

The force of interaction between the two balls is 0.03 Newtons, and the acceleration of the second ball is 0.1 m/s^2.