Question

g You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 47.0 m, how fast must the cart be moving in order for you to feel 2.5 times as heavy at the bottom of the loop

Answer 1

Answer:

Step-by-step explanation:

Let the speed of the roller coaster at the bottom is v.

radius, r = 47 m

Let the mass is m and the force at the bottom is 2.5 times the weight.

F = 2.5 mg

So, the force is

$F = mg + \frac{mv^{2}}{r}$

$2.5 mg= mg + \frac{mv^{2}}{r}$

$1.5g=\frac{v^{2}}{r}$

v² = 1.5 gr

v² = 1.5 x 9.8 x 47

v = 26.3 m/s