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March 30, 2015

March 30, 2015

Posted by **Katie** on Friday, March 16, 2012 at 10:31pm.

I = 2611 kg*m^2, M = 50 kg, R = 0.8 m

I = 2883 kg*m^2, M = 17 kg, R = 9.1 m

I = 4799 kg*m^2, M = 12 kg, R = 4.4 m

I = 2507 kg*m^2, M = 26 kg, R = 2.1 m

I = 1528 kg*m^2, M = 19 kg, R = 2.2 m

I = 4509 kg*m^2, M = 42 kg, R = 2 m

I = 1563 kg*m^2, M = 16 kg, R = 16.4 m

I = 2935 kg*m^2, M = 25 kg, R = 8.4 m

- physics -
**drwls**, Saturday, March 17, 2012 at 7:48amThey will arrive in the order of the final velocity, Vf. Conservation of energy will tell you what that is. Don't forget to include rotational kinetic energy.

M g H = (1/2) M Vf^2 + (1/2)*I*(Vf/R)^2

Vf^2 (M + I/R)^2 = 2 M g H

Vf^2 = 2 g H/[1 + I/(MR^2)]

The object with the lowest I/MR^2 will arrive first. Compare I/MR^2 for the various objects and rank them accordingly.

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