Physics circular motion and gravity help please

AI Thread Summary
A solid homogeneous sphere of mass 4.80 kg is released from a height of 1.35 m on a 25.7-degree incline, and the problem involves calculating its speed at the bottom and its rotational kinetic energy. The conservation of energy principle is applicable, allowing for the use of the equation that combines translational and rotational kinetic energy with gravitational potential energy. The relevant equations include KE = 1/2mv^2 and KEr = 1/2(I)(w^2), where I is the moment of inertia. The discussion emphasizes the importance of understanding when conservation of energy can be applied in this context. Clarification on the conditions for using these equations is sought to solve the problem effectively.
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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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