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August 29, 2014

August 29, 2014

Posted by **Mary** on Wednesday, March 28, 2007 at 1:25pm.

KE = 1/2(2/5)MR^2(V/R)^2= 1/5MV^2

KE = 1/5mv^2 - mgh

the mass as stated in the question is uniformly so it can be deleted from the above formula.

KE = 1/5v^2 - gh

KE = 1/5(3.60)^2 - (9.81 x 0.76)

KE = 2.592 - 7.4566

KE(final)= -4.8636

Am I right so far? If I am how do I calculate the final speed?

You have only treated the rotational part of the kinetic energy. You also must include the (1/2)MV^2 "translational" part. The total KE is (7/10)M V^2

You also have a problem with signs. The kinetic energy cannot be negative. The sum of potential and kinetic energies is constant. So the decrease in total KE as it goes to the top of the ramp equals the increase in potential energy, MgH.

(7/10)[Vo^2 - V1^2) = g H

Vo is the initial velocity. Solve for V1

I would like to say I appreciate your help with my homework!

I did the problem according to the formula you provided and the answer is incorrect. Can you please tell me where I went wrong.

I may have misinterpret the formula. This is what I came up with:

7/10 (V0^2 - V1^2)= gh

7/10((3.6)^2 - V1^2)= gh

7/10 (12.96 - V1^2)= 9.81 X 0.76

9.072 - V1^2= 7.4556

V1^2= 9.072 - 7.4556

V1^2= 1.6164

V1= square root 1.6164

V1= 1.2714

7/10 (V0^2 - V1^2)= gh

7/10((3.6)^2 - V1^2)= gh

7/10 (12.96 - V1^2)= 9.81 X 0.76

9.072 - V1^2= 7.4556

V1^2= 9.072 - 7.4556

V1^2= 1.6164

V1= square root 1.6164

V1= 1.2714

Thank you so much!!!!!

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