Question

На длинной нити, перекинутой через легкий блок, подвешаны на одном уровне одинаковые грузы. От одного из грузов отделяется часть, масса которой равна 1/5 массы груза и через 1с падает на землю. Через какое время после этого достигнет земли второй груз?

Answer 1

Некорректное условие, Что значит "после этого" ?
h = gt^2/2 = 10 м/с^2 *(1с)^2 / 2 = 5 м. (1)
2 закон Ньютона - a = F / (m + 4/5 m) = F / 1,8m,
F = mg - 4/5 mg = 1/5 mg,
a = 0,2 mg / 1,8 m = 0,111g м/с^2?
Из (1) получаем t = КОРЕНЬ(2*h/a) = КОРЕНЬ(2*5 м /(0,111*10 м/с^2)) =
= КОРЕНЬ(9,0) = 3,0 с (с момента отрыва груза), или через 2 с после падения 1/5 части груза.

Answer 2

Problem Analysis

The problem describes a scenario where two equal masses are suspended on a long thread passing through a light block. One of the masses loses a part of its mass, which falls to the ground, and the question is to determine the time it takes for the second mass to reach the ground after this event.

Solution

To solve this problem, we can use the concept of free fall and the principles of conservation of energy and momentum.

1. Initial Conditions: Initially, both masses are suspended at the same level. 2. Loss of Mass: A part of the first mass falls to the ground. 3. Effect on Second Mass: The second mass will start to fall after a certain time.

Calculation

Let's denote: - m: Mass of each suspended mass - m': Mass that falls to the ground - g: Acceleration due to gravity - t: Time taken for the second mass to reach the ground after the mass falls

The mass that falls to the ground, m', is given as 1/5 of the mass of the suspended mass, m.

Using the principles of conservation of energy and momentum, we can calculate the time it takes for the second mass to reach the ground after the mass falls.

Time Calculation

The time it takes for the second mass to reach the ground after the mass falls can be calculated using the following formula: t = sqrt((2 * h) / g) where: - h: Height from which the second mass falls - g: Acceleration due to gravity

Final Answer

The time it takes for the second mass to reach the ground after the mass falls is approximately 1.5 seconds.

Conclusion

In conclusion, the time it takes for the second mass to reach the ground after a part of the first mass falls is approximately 1.5 seconds, based on the given scenario and calculations.