Question

Грузы m1=100 г и m2=110 г висят на ните , переброшенной через неподвижный блок. С каким ускорением движется система грузов ?ЗА РАННИЕ СПАСИБО ЕСЛИ МОЖЕТЕ НАПИШИТЕ ПОДРОБНЕЕ

Answer 1

Рисуешь рисунок с грузами через блок.Проецируешь все силы:m1g,m2g,a,T.
Проецируем на ось ОУ1 и ОУ2
ОУ1:m1g+m1a=T
OY2:m2a-m2g=T
Так как сила натяжения нити Т у них одинакова,то
m1g+m2g=m2a-m1a
g(m1+m2)=a(m2-m1)
a=g(m1+m2)/m2-m1
a=10*(0,1+0,11)/0,11-0,1
a=210 м/c²

Answer 2

Calculation of Acceleration for a System of Hanging Masses

To calculate the acceleration of the system of hanging masses, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this case, the net force acting on the system of masses is the tension in the string.

Let's denote the mass of the first object as m1 (100 g) and the mass of the second object as m2 (110 g). The acceleration of the system can be calculated as follows:

Step 1: Calculate the net force acting on the system. The net force is equal to the tension in the string. Since the string is passing over a stationary block, the tension in the string is the same on both sides. Therefore, the net force acting on the system is equal to the tension in the string.

Step 2: Calculate the tension in the string. The tension in the string can be calculated by considering the forces acting on each mass. For the first mass, the tension in the string is equal to the weight of the first mass (m1) since it is in equilibrium. Similarly, for the second mass, the tension in the string is equal to the weight of the second mass (m2) since it is also in equilibrium.

Step 3: Calculate the acceleration of the system. The acceleration of the system can be calculated using Newton's second law of motion. The net force acting on the system is equal to the tension in the string, and the mass of the system is the sum of the masses of the two objects (m1 + m2). Therefore, the acceleration (a) can be calculated as follows:

a = net force / mass of the system

Let's calculate the acceleration using the given masses:

m1 = 100 g m2 = 110 g

Step 1: Calculate the net force acting on the system. Since the tension in the string is the same on both sides, the net force acting on the system is equal to the tension in the string.

Step 2: Calculate the tension in the string. The tension in the string is equal to the weight of each mass. The weight of an object can be calculated using the formula:

weight = mass * acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s^2.

For the first mass (m1): tension1 = weight1 = m1 * g

For the second mass (m2): tension2 = weight2 = m2 * g

Step 3: Calculate the acceleration of the system. The acceleration of the system can be calculated using Newton's second law of motion:

a = (tension1 + tension2) / (m1 + m2)

Let's substitute the values and calculate the acceleration:

m1 = 100 g = 0.1 kg m2 = 110 g = 0.11 kg g = 9.8 m/s^2

tension1 = weight1 = m1 * g = 0.1 kg * 9.8 m/s^2 tension2 = weight2 = m2 * g = 0.11 kg * 9.8 m/s^2

a = (tension1 + tension2) / (m1 + m2)

Now, let's calculate the acceleration:

a = (0.1 kg * 9.8 m/s^2 + 0.11 kg * 9.8 m/s^2) / (0.1 kg + 0.11 kg)

Simplifying the equation:

a = (0.98 N + 1.078 N) / 0.21 kg

a = 2.058 N / 0.21 kg

a ≈ 9.8 m/s^2

Therefore, the system of hanging masses will have an acceleration of approximately 9.8 m/s^2.