Understanding Centripetal Net Force in Circular Motion

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When swinging a ball in a horizontal circle, the net force acting on the ball is the centripetal force, which is directed inward, perpendicular to the ball's velocity. While the ball moves at a constant speed, it is still accelerating due to its change in direction, indicating that there is a net inward force. This centripetal force does not cancel out with the tension in the string; rather, they act in tandem according to Newton's third law, where the string exerts an inward force on the ball while the ball exerts an equal and opposite force on the string. Thus, the net force is not zero, as the ball is indeed accelerating inward. Understanding these dynamics is crucial for grasping the principles of circular motion.
keemosabi
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Homework Statement


If you swing a ball in a horizontal circle around your head, what is the direction and magnitude of the net force acting on the ball?


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The Attempt at a Solution


I said none because the ball is moving at a constant velocity. Is this correct? Or does the centripetal force come into play?
 
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The direction of the force is inward, perpendicular to the velocity at any given moment of time.
 
twotaileddemon said:
The direction of the force is inward, perpendicular to the velocity at any given moment of time.
Is it a net force? If it were, wouldn't the ball be accelerating inward? Doesn't that force just offset the ball pulling on the string?
 
good point.. I didn't see that "net" there.

In that case, I do believe the -net- force is zero, as you said.
 
keemosabi said:
Is it a net force?
yes
If it were, wouldn't the ball be accelerating inward?
yes, it is , in the inward centripetal x direction.
Doesn't that force just offset the ball pulling on the string?
No, that's Newton's 3rd law, the string pulls on the ball, and the ball pulls on the string, with a force equal in magnitude and opposite in direction, always.
 
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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