A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed. 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.