Question

Шар массой 200 г падает с начальной скоростью 10 м/с на неподвижную платформу под углом 45° к ней. Какой импульс будут иметь шар и платформа в результате абсолютно неупругого удара шара о платформу, если платформа может скользить по горизонтальной поверхности без трения?

Answer 1

Начальный импульс шара равен 0,2 * 10 * cos(45) = 1,414 (кг * м/с)
Начальный импульс тележки равен 0.

По закону сохранения импульса, конечный импульс шара с тележкой равен сумме начальных импульсов.
Ответ: 1,414 (кг * м/с)

Answer 2

Calculation of Impulse

To calculate the impulse of the ball and the platform after the completely inelastic collision, we need to consider the conservation of momentum.

The momentum of an object is given by the product of its mass and velocity. The law of conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision.

Let's denote the mass of the ball as m1 and the mass of the platform as m2. The initial velocity of the ball is v1 and the final velocity of the ball and the platform after the collision is v2.

According to the conservation of momentum, we have:

m1 * v1 + m2 * 0 = (m1 + m2) * v2

Since the platform is initially at rest, its velocity after the collision is 0.

Simplifying the equation, we get:

m1 * v1 = (m1 + m2) * v2

Now, let's substitute the given values into the equation.

The mass of the ball, m1, is 200 g, which is equal to 0.2 kg. The initial velocity of the ball, v1, is 10 m/s. The mass of the platform, m2, is not provided in the question.

Unfortunately, the mass of the platform is not provided in the question or the search results. Without this information, we cannot calculate the exact values of the impulse for the ball and the platform.

Please provide the mass of the platform so that we can proceed with the calculation.