Question

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?

Answer 1

0.97566 m/s

Step-by-step explanation:

`m_1` = Mass of cannon = 2260 kg

`v_1` = Velocity of cannon

`m_2` = Mass of ball = 21 kg

`v_2` = Velocity of ball = 105 m/s

As the momentum of the system is conserved we have

`m_1v_1=m_2v_2\\\Rightarrow v_1=(21* 105)/(2260)\\\Rightarrow v_1=0.97566\ m/s`

The velocity of the cannon is 0.97566 m/s