Respuesta :
Answer:
The distance the car moves after all ten cannonballs have been fired is 1.5 meters
Explanation:
The parameters given in the question are;
The length of the car = 20 meters
The mass of the of the cannon ball, m₁ = 2,000 kg
The direction the cannon fires = The right
The direction the car recoils = The left
The mass of each cannonball, m₂ = 15 kg
The number of cannonballs = 10
Let v₁ represent the speed of the car and let v₂ represent the speed of the cannonball, where momentum is conserved, we have;
m₁·v₁ = m₂·v₂
2000 × v₁ = 15 × v₂
400·v₁ = 3·v₂
Therefore, when the cannon ball travels 400 meters, the railroad car travels 3 meters
Similarly, when the cannon ball travels 400/20 = 20 meters, the distance the railroad car travels, d = 3/20 meters
We not that the railroad car and the car are brought to a stop each time the cannonball hits the watt
Therefore, the total distance moved by the car after all ten have been fired, [tex]d_{total}[/tex], is given as follows;
[tex]d_{total}[/tex] = d × The number of balls fired
∴ [tex]d_{total}[/tex] = 3/20 meters per ball × 10 balls = 3/2 meters = 1.5 meters
The total distance moved by the car, [tex]d_{total}[/tex] = How far the car moves after all ten have been fired = 1.5 meters.
