Efficient Energy Calculations for a Ball Down a Ramp

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Homework Help Overview

The discussion revolves around calculating the loss of energy of a ball rolling down a ramp, with specific parameters provided, including the mass of the ball. The problem involves concepts from energy conservation and projectile motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find two methods for calculating energy loss, having already identified one approach using gravitational potential energy and kinetic energy. Participants question whether additional methods exist and explore the implications of energy conservation principles.

Discussion Status

Participants are actively engaging with the problem, with some suggesting alternative methods involving projectile motion and energy conservation. There is no explicit consensus yet, but various interpretations and approaches are being explored.

Contextual Notes

The discussion is constrained by the limited information provided and the requirement to find multiple methods for calculating energy loss without a complete solution being presented.

TN17
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I'm supposed to find two different methods to find the loss of energy of a ball down a ramp.

I'm given only the following information:
Mass of ball = 0.0083 kg
and
http://i1097.photobucket.com/albums/...cs_/Energy.jpg

2. Homework Equations

E = mgh
E = 0.5mv^2


The Attempt at a Solution



I already found one way:
To compare the energy at the top of the ramp, which is E = mgh and the energy at the bottom of the ramp, E2 = mgh + 0.5mv^2 and also compare E to the energy at the bottom of the projectile, E3 = 0.5mv^2.

(I found "v" by using projectile motion).

What is another way to calculate loss of energy?
 
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Do you want to find the speed of the ball at the bottom of the ramp or all the way down when it hits the ground. One way of course is using energy conservation. For another way, assuming that the ball leaves the ramp in horizontal direction, we can find the speed of the ball using projectile motion equations for rest of its journey till it hits the ground.
But for calculating the loss of energy, I think we will need to use the principle of conservation of energy.
 

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