Question

В тележку, которая движется горизонтально со скоростью 2мс, падает сверху тело. Масса тележки 10кг, масса тела-1кг. Найти скорость тележки.

Answer 1

M1=80 кг
V1=2 м/с
m2=1 кг
V2-?
m1V1=V2
V2=m1V1/m1+m2=80х2/80+1=1.97 м/с скорость тележки 

Answer 2

Calculation of the Velocity of the Cart

To find the velocity of the cart, we can use the principle of conservation of momentum. According to this principle, the initial momentum of the system (cart + body) is equal to the final momentum of the system.

The initial momentum of the system is given by the product of the mass of the cart and its velocity, which is 10 kg * 2 m/s = 20 kg·m/s.

Let's denote the mass of the body as m1 and its velocity as V1. The mass of the cart is given as 10 kg, and the mass of the body is given as 1 kg.

Using the conservation of momentum, we can write the equation:

m1 * V1 = (m1 + m2) * V

where m2 is the mass of the cart (10 kg) and V is the velocity of the cart.

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

2 kg * V1 = (2 kg + 10 kg) * V

Simplifying the equation:

2 kg * V1 = 12 kg * V

Dividing both sides of the equation by 2 kg:

V1 = 6V

Therefore, the velocity of the cart is 6 times the velocity of the body.

Now, let's substitute the given value of V1 (2 m/s) into the equation to find the velocity of the cart:

V = V1 / 6 = 2 m/s / 6 = 1/3 m/s.

Therefore, the velocity of the cart is 1/3 m/s.

Answer

The velocity of the cart is 1/3 m/s.