Projectiles and Newtons law help?

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The discussion revolves around understanding Newton's Third Law and projectile motion. When a man on a moving boat throws a ball horizontally, the ball's motion relative to the man is influenced by both the boat's speed and the ball's initial velocity, leading to confusion about whether the relative speed is 0 m/s or less than 15 km/h. Additionally, the question about three cannons firing projectiles at different angles raises the issue of whether their final velocities will be the same, despite being affected by gravity. The consensus suggests that while gravity influences all projectiles, the angles of launch will affect their trajectories and final velocities. Clarification on these concepts is essential for a better understanding of projectile motion and relative velocities.
FenzyFee
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The first question is about Newton's Third Law:
A boat is moving north at a velocity v=15 km/h
a man on the boat throws a ball horizontally with a velocity u=15 km/h
how is the motion of the ball w.r.t the man?

For this, I thought that because the boat is moving with the same speed as the ball, the ball should have no difference in speed, therefore it should be 0 m/s...but what confuses me is that the ball will have a parabolic motion because of the boats translation...so it should be less that 15 but not 0 m/s..Help?The second in on projectile motion
3 cannons project the same mass at
a) 45 degrees above the horizontal
b) 0 degrees (on the horizontal)
c) 45 degrees below the horizontal
What are there final velocities?

Should there final velocities be the same? regardless of angles? since all of the masses are affected by gravity g=9.81 m/s^2?Thank you! :)
 
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Hello FF, welcome to PF :smile: !

Something went wrong with your posting: the template has disappeared. In this strange world of PF, its use is mandatory.
Perhaps you want to read the guidelines that explain why.

Homework Statement



A clear and concise problem statement. The phrase "how is the motion of the ball w.r.t the man" is very unlikely quoted literally.

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You need something.

The Attempt at a Solution


For this, I thought that because the boat is moving with the same speed as the ball, the ball should have no difference in speed, therefore it should be 0 m/s...but what confuses me is that the ball will have a parabolic motion because of the boats translation...so it should be less that 15 but not 0 m/s..
Isn't just confusing for you. It's confusing for everybody.

Try to order your thoughts and approach this as a math-like exercise, not some kind of poetry.. :smile:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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