Question

Could someone please answer this question for me? Also pls provide a detailed explanation. Thanks in advance ​

Question in image

Answer 1

-0.4 m/s

Step-by-step explanation:

We can solve this problem by using the law of conservation of momentum. In fact, the total momentum of the shell + cannon system must be conserved.

Before the shot, the total momentum of the system is zero:

p = 0

After the shot, the total momentum is:

`p=mv +MV`

where

m = 3.0 kg is the mass of the shell

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

M = 1500 kg is the mass of the cannon

V is the recoil velocity of the cannon

Since momentum is conserved, the initial and final momenta must be equal, therefore:

`0=mv+MV\\V=-(mv)/(M)=-((3.0)(200))/(1500)=-0.4 m/s`

Where the negative sign indicates that the cannon moves in the opposite direction to the shell.