As the ball roles down the hill

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Homework Help Overview

The discussion revolves around the motion of a ball rolling down a hill, specifically examining the relationship between speed and acceleration under different conditions. The problem context involves concepts from kinematics and dynamics, particularly focusing on the effects of gravitational forces and potential energy transformations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss various scenarios regarding the ball's speed and acceleration, questioning whether to consider losses such as friction. There are attempts to analyze the implications of different hill gradients on the motion of the ball.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the assumption of losses, and initial thoughts have been shared, but no consensus has been reached yet.

Contextual Notes

There is mention of the need to clarify whether losses are to be included in the analysis, which may affect the interpretation of the problem. Participants also express uncertainty about their understanding of the concepts involved.

madmarwick
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a. Its speed increases and acceleration decreases
b. Its speed decreases and acceleration increases
c. Both increase
d. Both remain constant
e. Both decrease

Can anyone help with this little problem please?

I'm new to this forum thing. So any advice on etiquette would be appreciated.

Regards, Chris
 
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Well you need to provide your attempt first.

The answer I want isn't there if we're assuming no losses, so I take it we're to include losses in the question?
 
jarednjames said:
Well you need to provide your attempt first.

The answer I want isn't there if we're assuming no losses, so I take it we're to include losses in the question?

Hi Jared, thanks for the reply. These were my initial thoughts:

"If the hill is at a constant gradient I think the answer would be 'a' (Its speed increases and acceleration decreases) as acceleration will reach a maximum and then start to decrease and the ball will reach constant velocity.

If the hill's gradient decreases as it reaches the bottom then I think the answer would be 'a' then 'b' as velocity would increase first and acceleration decrease then as gradient fell acceleration would increase negatively (deceleration) and velocity would decrease."

I'm very rusty so I may have it cmpletely wrong.

Chris
 
So it looks like we're using losses.

In which case, A is correct for the reason you gave.
 
Thanks Jared
 

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