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A revolutionary war cannon, with a mass of 2260 kg, fires a 21 kg ball horizontally. The cannonball has a speed of 105 m/s after it has left the barrel. The cannon carriage is on a flat platform and is free to roll horizontally. What is the speed of the cannon immediately after it was fired?

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Answer:

0.97566 m/s

Explanation:

[tex]m_1[/tex] = Mass of cannon = 2260 kg

[tex]v_1[/tex] = Velocity of cannon

[tex]m_2[/tex] = Mass of ball = 21 kg

[tex]v_2[/tex] = Velocity of ball = 105 m/s

As the momentum of the system is conserved we have

[tex]m_1v_1=m_2v_2\\\Rightarrow v_1=\dfrac{21\times 105}{2260}\\\Rightarrow v_1=0.97566\ m/s[/tex]

The velocity of the cannon is 0.97566 m/s

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