Question

A 1,107.64 kg cannon shoots a 51.72 kg cannonball across a field with a velocity of 2.72 m/s. What is the recoil velocity of the cannon?

Answer 1

the recoil velocity of the cannon is 0.12 m/s

Step-by-step explanation

The momentum of the projectile at the instant it was fired is equal to the product of its mass and its velocity (m*v). Then, by conservation of momentum, the cannon must move in the opposite direction with the same momentum

so

conservation of momemtum

`\begin{gathered} m_(cannon)v_(cannon)=m_(cannonball)v_(cannonball) \\ \end{gathered}`

replace

therefore,

the recoil velocity of the cannon is 0.12 m/s

I hope this helps you