Physics circular motion and gravity help please

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Homework Help Overview

The discussion revolves around a problem involving circular motion and gravitational effects on a solid homogeneous sphere rolling down an incline. The problem includes calculating the speed of the sphere's center of mass and its rotational kinetic energy at the bottom of the incline.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of conservation of energy to approach the problem, questioning the applicability of this method. There is also mention of rotational kinetic energy and its associated formula.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of energy conservation and questioning the conditions under which it can be applied. Some guidance has been offered regarding the equations for kinetic energy and rotational kinetic energy.

Contextual Notes

Participants express uncertainty about the conditions for applying conservation of energy in this scenario, indicating a need for clarification on assumptions related to the problem setup.

katiegerster
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physics circular motion and gravity help please :(

Homework Statement



1. a) A solid homogeneous sphere of mass M = 4.80 kg is released from rest at the top of an incline of height H=1.35 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 25.7o to the horizontal. Calculate the speed of the sphere's CM at the bottom of the incline.

b) Determine the rotational kinetic energy of the sphere at the bottom of the incline.


Homework Equations



KE= 1/2mv^2
speed= total distance/delta(t)

The Attempt at a Solution



not sure how to go about solving this..
 
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What about rotational kinetic energy? Don't you have an equation for that?
 
oh KEr= 1/2(I)(w^2)
 
So the ball starts at some height and rolls down. Can you use conservation of total energy?
 
i wasnt sure if i could use that or not
 
What are the conditions for its applicability?
 
i don't know what you mean,
but if i could use the conservation of energy this is the formula i have
(1/2mv^2+1/2Iw^2+mgh)i= (1/2mv^2+1/2Iw^2+mgh)f
 
Let's put it this way: is there any reason you know of you cannot use this formula? If no, what prevents you from using it?
 

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