A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed.(adsbygoogle = window.adsbygoogle || []).push({});

What is the ratio of the car's apparent weight to its true weight?

from my notes i have that Velocity_critical= squareroot ( r w / m)

v = sqrt(rw/m)

so what i did was multiply v times 2 because the problem states were going at twice the critical speed.

so now my equation looked like

2v = sqrt(rw/m)

I squared both sides

4v^2 = rw/m

and solved for weight.

w=(4mv^2)/r

so i thouth that the aparent weight would be 4 times the actual weight, giving me a 4 to 1 ratio. this seems to be wrong. anybody know were i took a wrong turn. any help would be apreciated.

thanks.

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# Homework Help: Aparent weight

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