A 6.2 kg cannonball is fires from a 280 kg cannon. The cannon recoils with a velocity of 4.9 m/s. What is the velocity of the cannonball when it leaves the cannon?

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Answer:

Sorry

Explanation:

The velocity of the cannonball when it leaves the cannon is 221.29 m/s.

The given parameters;

  • mass of the cannonball, m₁ = 6.2 kg
  • mass of the cannon, m₂ = 280 kg
  • velocity of the cannon, u₁ = 4.9 m/s

Let the velocity of the cannonball when it leaves the cannon = u₁

Apply the principle of conservation of linear momentum to determine the velocity of the cannonball when it leaves the cannon.

m₁u₁ = m₂u₂

6.2u₁ = 280 x 4.9

6.2u₁ = 1372

[tex]u_1 = \frac{1372}{6.2} \\\\u_1 = 221.29 \ m/s[/tex]

Thus, the velocity of the cannonball when it leaves the cannon is 221.29 m/s.

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