A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13.5 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car. A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13.5 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car. 11.5 m/s 14.9 m/s 10.1 m/s 12.7 m/s

Question

contestada

Respuesta :

nuuk nuuk · Answer 1 · 2019-10-15T09:59:26+02:00

Answer:11.5 m/s

Explanation:

Given

Radius of loop(r)=13.5 m

Roller coaster must complete the loop without the strap .

At highest Point

weight will Provide centripetal force Just to complete the loop

Thus [tex]mg=\frac{mv^2}{r}[/tex]

where v=minimum velocity possessed by roller coaster in order to cover the loop

[tex]v=\sqrt{gr}[/tex]

[tex]v=\sqrt{9.8\times 13.5}[/tex]

[tex]v=\sqrt{132.5}=11.51 m/s[/tex]