Question

The question for 11 is What is the mass of a cannon ball whose velocity is

Answer 1

The mass of the cannonball is 10 kg

Explanation:

We can solve this problem by applying the law of conservation of momentum: in absence of external forces, the total momentum of the cannon + ball must be conserved before and after the shot.

Before the shot, the total momentum is zero, since both the cannon and the ball are at rest:

$p_i = 0$

While the total momentum after the shot is

$p_f = mv+MV$

where

m is the mass of the ball

v = 200 m/s is the velocity of the ball

M = 1000 kg is the mass of the cannon

V = -2 m/s is the recoil velocity of the cannon (negative since it travels in the opposite direction)

Since the total momentum must be conserved,

$p_i = p_f$

So we can solve the equation to find the mass of the ball:

$0=mv+MV\\m=-\frac{MV}{v}=-\frac{(1000)(-2)}{200)}=10 kg$

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