This is part I of a three part problem (karma points for EACH of the three parts

Question

This is part I of a three part problem (karma points for EACH of the three parts). Please see parts II and III also. Also, please don's just show the answer. Show very clearly how you found the answer.

A 350 kg coaster cart rests atop a 30m hill. When the cart is released it passes through a circular loop that has a 12m radius. Then, at constant velocity, the cart navigates a 10 m turn. (Assume no friction or air resistance.)
(a) Will the velocity of the cart allow it to make it to the top of the circular loop without falling?

Explanation / Answer

for the cart to avoid falling mg=mv2/r v2=rg=10*10 v=10m/sec needed now velocity of cart is given from .5mv2=mg*h,h=30 v=24.5m/sec so cart will not fall

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