Respuesta :
The magnitude of the cannons velocity after the ball is fired will be 2.4m/s.
To find the answer, we have to know more about the law of conservation of linear momentum.
How to find the magnitude of the cannons velocity after the ball is fired?
- The law of conservation of linear momentum states that, the initial momentum of a system will be equal to the final momentum.
- Here, then initial momentum of the system will be equal to zero, since the initial velocity of the cannon is equal to zero.
- Given that,
[tex]M_B=8kg\\M_C=1*10^3 kg\\P_f=2.4*10^3 kgm/s.\\[/tex]
- When the ball is fired from the canon, then the cannon will have a recoil velocity in the opposite direction of motion of the ball.
- Since it has a final momentum towards east, the recoil momentum will be in the west.
- Thus, the velocity of the cannon after when the ball is fired will be,
[tex]P_f=M_CV_C\\V_C=\frac{P_f}{M_C}=\frac{2.4*10^3}{1*10^3} =2.4m/s \\west[/tex]
Thus, we can conclude that, the magnitude of the cannons velocity after the ball is fired is 2.4m/s.
Learn more about the law of conservation of linear momentum here:
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After the ball is shot, the cannon will move at a speed of 2.4 m/s.
We must learn more about the rule of conservation of linear momentum in order to locate the solution.
How can I determine the cannon's post-ball velocity magnitude?
- According to the law of conservation of linear momentum, a system's starting and ultimate velocities are equal.
- Since the cannon's initial velocity is 0 in this case, the system's initial momentum will be equal to zero as well.
- We have,
[tex]m=8kg\\M=1000kg\\P_f=2.4*10^3kgm/s[/tex]
- When a cannon fires a ball, the cannon will recoil quickly and in the opposite direction of the ball's motion.
- Given that it is now moving eastward, the recoil momentum is towards the west.
- As a result, when the ball is fired, the cannon's velocity will be,
[tex]P_f=MV\\V=\frac{P_f}{M} =2.4m/s[/tex]
Thus, we can infer that the cannon's maximum speed once the ball is fired is 2.4 m/s.
Learn more about the conservation of linear momentum here:
https://brainly.com/question/22698801
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