Old cannons were built on wheeled carts, both to facilitate moving the cannon and to allow the cannon to recoil when fired. When a 150 kg cannon and cart recoils at 1.5 m/s, at what velocity would a 10 kg cannonball leave the cannon?

v2 = 22.5 m/s

Explanation:

Momentum is how hard to stop or turn a moving object . Generally, momentum measures mass in motion. Momentum is a vector quantity. Mathematically,

p = mass ×  velocity

The total momentum of an isolated system of  bodies remains constant.

mometum before = 0

mass of the canon (m1) = 150 kg

mass of the ball (m2) = 10 kg

velocity of the ball (v2) = ?

velocity of the cannon(v1) = 1.5 m/s

momentum after = momentum before

m2v2 + m1v1 = 0

10v2 = 150 × 1.5

10v2 = 225

divide both sides by 10

v2 = 225/10

v2 = 22.5 m/s

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