Is the ball's speed increasing?

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AI Thread Summary
The discussion centers on the relationship between a ball's speed, momentum, and the net force acting on it. The initial assumption is that the ball's speed is increasing due to the force and momentum both acting in the positive x direction. However, it is clarified that the angle between the force and momentum vectors is crucial in determining speed changes. If the force were directed downward while maintaining the same momentum, the ball's speed could indeed decrease. Understanding the vector relationships is key to accurately assessing the ball's motion.
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Homework Statement



The figure below shows a moving ball, its momentum, and the net force acting on it an instant in time.

At this instant, the ball's speed is:

1) not changing [/B]
2) decreasing
3) increasing

Homework Equations



None.

The Attempt at a Solution



My guess would be that the balls speed is increasing since the force and change of momentum both go towards + x direction but I'm not totally sure, any help?[/B]
 

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Correct, but you could formalise your answer a bit. It is possible that the momentum and force both have positive components in the x direction and have decreasing speed. The real issue is about the angle between the force and momentum vectors.
 
Orodruin said:
Correct, but you could formalise your answer a bit. It is possible that the momentum and force both have positive components in the x direction and have decreasing speed. The real issue is about the angle between the force and momentum vectors.

That makes sense, if the force was pointed straight down instead, would the ball's speed then be slowing down?
 
Last edited:
Westin said:
That makes sense, if the force was pointed straight down instead, would the ball's speed then be slowing down?
Given the same momentum, yes.
 
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