Conservation of Mechanical Energy

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Homework Help Overview

The problem involves a uniform solid ball rolling up an inclined ramp and determining its initial speed based on its motion and energy conservation principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using kinematic equations and conservation of energy to find the initial speed. Some question if there are alternative methods to solve the problem.

Discussion Status

There is a mix of approaches being explored, with some participants confirming their results through different methods. Guidance on using conservation of energy has been suggested, and participants are reflecting on their understanding of the problem.

Contextual Notes

Participants note the relationship between gravitational potential energy and kinetic energy, indicating a focus on energy conservation principles. There may be assumptions about the uniformity of the ball's motion and the ramp's incline.

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Homework Statement



A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 19.0 degrees. It momentarily stops when it has rolled 2.20 m along the ramp. What was its initial speed?

Homework Equations



Kinematic Equations
Conservation of Momentum

The Attempt at a Solution



I used a=(5/7)g*sin(theta)

then used V^2 - Vo^2 = 2a(x-xo) and solved for Vo. My answer is correct but I'm wondering if there is another approach to solving this problem?
 
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You can use conservation of energy.

ehild
 
Calculate the vertical height that the ball has gain, that's the gain in Gravitational Potential energy. There will be a equivalent lose of kinetic energy. Equate those them together solve for V.

delzac
 
Ah ok, yes I got the same answer as I did before utilizing the rotational kinetic energy, kinetic energy and potential energy. Not as hard as I was making it out to be.
 

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