Question

Ядро массой 10 кг летит вниз под углом 30 к вертикали. Оно попадает в стоящую на гладкой горизонтальной площадке платформу с песком и застревает в песке. Модуль скорости ядра в момент падения равен 400м/с. Масса платформы равна 1 т. Определите модуль скорости платформы с застрявшем в песке ядром

Answer 1

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Answer 2

Problem Analysis

A 10 kg mass is moving downward at an angle of 30 degrees to the vertical and hits a stationary platform with sand, becoming embedded in the sand. The mass of the platform is 1 ton. We need to determine the speed of the platform with the embedded mass.

Solution

To solve this problem, we can use the principle of conservation of momentum. The initial momentum of the system is equal to the final momentum of the system.

The initial momentum of the system is the momentum of the mass before it hits the platform, and the final momentum of the system is the combined momentum of the platform and the embedded mass after the collision.

The initial momentum of the mass can be calculated using the given mass and velocity, and the final momentum of the system can be calculated using the combined mass of the platform and the embedded mass and the velocity of the platform.

Calculation

The initial momentum of the mass can be calculated using the formula: Initial Momentum = mass * velocity

The final momentum of the system can be calculated using the formula: Final Momentum = (mass of platform + mass of embedded mass) * velocity of platform

By equating the initial and final momentum, we can solve for the velocity of the platform.

Result

Using the given information, we can calculate the velocity of the platform with the embedded mass.