Question

Укреплённая на тележке пушка стреляет в горизонтальном направлении.Скорость ядра зоо м/с.Какова скорость тележки после выстрела,если масса тележки с пушкой равна 500 кг,а масса ядра равна 5 кг?

Answer 1

300*5=500*x
x=1500/500
x=3m/c

Answer 2

Calculation of the velocity of the cart after firing the cannon

To calculate the velocity of the cart after firing the cannon, we can use the principle of conservation of momentum. According to this principle, the total momentum before the firing is equal to the total momentum after the firing.

The momentum of an object is calculated by multiplying its mass by its velocity. In this case, we have a cart with a mass of 500 kg and a cannonball with a mass of 5 kg. The initial velocity of the cannonball is given as "v0" m/s.

Let's denote the velocity of the cart after firing as "v" m/s. Since the cannonball is fired horizontally, its velocity after firing will also be "v" m/s in the opposite direction.

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

Total momentum before firing = Total momentum after firing

The total momentum before firing is the momentum of the cart, which is given by:

Momentum of the cart before firing = mass of the cart * velocity of the cart before firing

The total momentum after firing is the sum of the momentum of the cart and the momentum of the cannonball, which is given by:

Momentum of the cart after firing + Momentum of the cannonball after firing = (mass of the cart + mass of the cannonball) * velocity of the cart after firing

Setting these two equations equal to each other, we can solve for the velocity of the cart after firing:

(mass of the cart * velocity of the cart before firing) = (mass of the cart + mass of the cannonball) * velocity of the cart after firing

Simplifying the equation, we get:

velocity of the cart after firing = (mass of the cart * velocity of the cart before firing) / (mass of the cart + mass of the cannonball)

Now we can substitute the given values into the equation to calculate the velocity of the cart after firing.

Please provide the value of the velocity of the cart before firing (v0) in m/s.