What is the force causing the sphere to roll down the ramp?

AI Thread Summary
The discussion focuses on calculating the angular speed of a sphere rolling down a ramp. The sphere has a weight of 320 N and a radius of 0.20 m, rolling down a 25° incline from rest over a distance of 6.0 m. The potential energy at the top converts entirely into kinetic energy at the bottom, allowing for the mass to be ignored in calculations. The user initially struggles with incorporating mass into their equations but is guided to recognize that it cancels out in the energy equations. The conversation emphasizes the importance of understanding the forces and energy transformations involved in the motion of the sphere.
Dr_bug
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Homework Statement



A 320 N sphere 0.20 m in radius rolls, without slipping, 6.0 m down a ramp that is inclined at 25° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?

Homework Equations


I sphere= (2/5)mr^2
atan=rα
v=rω

The Attempt at a Solution


I tried first to use F∆x=(1/2)*[(2/5)mr^2]ωf^2-0(zero because it starts from rest) but then i realize i don't have a mass and now i don't really know what to do. any helpful hints or suggestions would be appreicated
 
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At the top, it only has potential energy mgh. At the bottom, the energy is entirely kinetic. Do you see why you don't need the mass?
 
so then can i just solve the eqn i was using and just ignore m?
 
Dr_bug said:
so then can i just solve the eqn i was using and just ignore m?

No your equation is correct. Just what is the force F in F\Delta x?
 

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