2 Balls on inclined plane problem

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Homework Help Overview

The discussion revolves around the motion of identical balls rolling down two inclined planes of the same height but differing angles. Participants are exploring whether the balls reach the bottom simultaneously and if they have the same speed upon reaching the bottom, while neglecting friction and air resistance.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the implications of the inclines' lengths and angles on the balls' motion. Some are considering the roles of forces and accelerations, while others are thinking in terms of energy conservation. There are also inquiries about the effects of neglecting friction and how that influences the motion.

Discussion Status

The discussion is active, with participants raising various scenarios and questioning assumptions about the inclines. There is no explicit consensus yet, but different interpretations of the problem are being explored, particularly regarding the relationship between incline angle and travel time.

Contextual Notes

Participants note that the homework assignment does not specify the lengths of the inclined planes, leading to discussions about how this affects the problem's setup and conclusions.

Bama
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Identical balls are rolled down 2 inclined planes of the same height but different inclines. Do they reach the bottom at the same time. Neglect friction and air resistance.

Do the balls have the same speed upon reaching the bottom of the incline? :rolleyes:
 
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do u mean planes of the same length?
 
In my homework assignment, it doesn't mention length. Alicia0
 
Bama said:
In my homework assignment, it doesn't mention length. Alicia0
The inclines cannot have the same length. The balls start from the same height, but one rolls down a shorter plane at a steeper angle.

The first question requires that you think in terms of forces and acclerations. The second is best thought about in terms of energy.
 
Bama said:
Identical balls are rolled down 2 inclined planes of the same height but different inclines. Do they reach the bottom at the same time. Neglect friction and air resistance.

Do the balls have the same speed upon reaching the bottom of the incline? :rolleyes:

If the friction is neglected the balls will slide, will not roll at all.
 
Imagine one incline almost vertical. How long would it take the ball to reach the ground?

Imagine the other incline with a tiny angle from the horizontal so its length is one mile. How long do you think it will take the ball to cover that one mile?
 

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