Question

СРОЧНО!!!! Проводится эксперимент с двумя тележками массами m1= 2 кг и m2 = 10 кг. Между тележками установлена сжатая пружина. После пережигания нити, которая удерживает пружину, тележки разъезжаются. При этом скорость первой тележки υ1 = 0,25 м/с. Чему равна скорость второй тележки?

Answer 1

Ответ:

m^1=2кг

m^2=10

a^1=0,25 м/с

а^2= 2•0,25:10=0,05

ответ: а^2=0,05

Answer 2

Experiment with Two Carts and a Compressed Spring

In the given experiment, there are two carts with masses m1 = 2 kg and m2 = 10 kg. A compressed spring is placed between the carts. When the thread holding the spring is burnt, the carts move apart. The initial velocity of the first cart is υ1 = 0.25 m/s. We need to determine the velocity of the second cart.

To solve this problem, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the carts move apart is equal to the total momentum after the carts move apart.

Conservation of Momentum

The principle of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces act on it. In this case, the system consists of the two carts and the compressed spring. Since no external forces are acting on the system, the total momentum before and after the carts move apart should be the same.

Mathematically, we can express the conservation of momentum as:

m1 * υ1 + m2 * υ2 = m1 * υ1' + m2 * υ2',

where: - m1 and m2 are the masses of the first and second carts, respectively, - υ1 and υ2 are the initial velocities of the first and second carts, respectively, - υ1' and υ2' are the final velocities of the first and second carts, respectively.

Solving for the Final Velocity of the Second Cart

We can rearrange the conservation of momentum equation to solve for υ2', the final velocity of the second cart:

υ2' = (m1 * υ1 + m2 * υ2 - m1 * υ1') / m2.

Substituting the given values into the equation, we have:

υ2' = (2 kg * 0.25 m/s + 10 kg * υ2 - 2 kg * υ1') / 10 kg.

Since we are given the initial velocity of the first cart, υ1 = 0.25 m/s, we can substitute this value into the equation:

υ2' = (2 kg * 0.25 m/s + 10 kg * υ2 - 2 kg * υ1') / 10 kg.

Now, we need to know the value of υ2'. To calculate it, we need to know the value of υ2 or υ1'. Unfortunately, the given information does not provide the necessary data to calculate the final velocity of the second cart.

Therefore, without additional information about the velocity of the second cart or the final velocity of the first cart, we cannot determine the exact value of the final velocity of the second cart in this experiment.

Please provide any additional information if available, and I will be happy to assist you further.