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Ghella [55]
4 years ago
13

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, h

ow fast must the cart be moving in order for you to feel 2.5 times as heavy at the bottom of the loop
Mathematics
1 answer:
DaniilM [7]4 years ago
7 0

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

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3 years ago
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