A 350 kg cannon shoots a 10 kg cannon ball at a speed of 420 m/s. Find the recoil velocity of the cannon.

0= MV - mv

V=mv/M= 10•420/350 = 12 m/s

To find the recoil velocity of the cannon, we can use the principle of conservation of momentum. According to this principle, the total momentum before the cannon fires will be equal to the total momentum after the cannon fires.

The momentum of an object is given by the equation: momentum = mass × velocity.

Let's denote the cannon's mass as Mc and its initial velocity as Vc, and the cannonball's mass as Mb and its final velocity as Vb. Using the conservation of momentum, we have:

Total initial momentum = Total final momentum

(Mc × Vc) + (Mb × 0) = 0 + (Mb × Vb)

Since the cannon is initially at rest (Vc = 0), we can simplify the equation:

Mc × 0 + (Mb × 0) = 0 + (Mb × Vb)

0 = Mb × Vb

Simplifying further, we can solve for the recoil velocity of the cannon:

Vb = 0 / Mb = 0 m/s

Therefore, the recoil velocity of the cannon is 0 m/s.