A frictionless 3.0 kg cart rolls down an incline and then loops the loop. The height of the loop is 12m. What minimum height should the cart be released so that it doesn't fall off the circular track?

So far I know that there will be no normal force because the question asks for the minimum height that the cart is needs to be released by. I also know that Fc=(mv^2)/r and the Fc here will be equal to mg. I can put these two equations together to get mg=(mv^2)/r

and then I can rearrange it to solve for velocity v^2=gr

What should I do next to find the initial height?

Question

A frictionless 3.0 kg cart rolls down an incline and then loops the loop. The height of the loop is 12m. What minimum height should the cart be released so that it doesn't fall off the circular track?

So far I know that there will be no normal force because the question asks for the minimum height that the cart is needs to be released by. I also know that Fc=(mv^2)/r and the Fc here will be equal to mg. I can put these two equations together to get mg=(mv^2)/r

and then I can rearrange it to solve for velocity v^2=gr

What should I do next to find the initial height?

anonymous · Answer

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