Question

a 515 kg cart is at the bottom of roller coaster loop with a radius of 10m. if the speed at the bottom of the loop is 15 m/s what is the force of the track pushing on the vehicle at the radius this point

Answer 1

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16737.5 N

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v = 15 m/s

R = 10 m

m = 515 kg

$N - mg = mac \\ ac = \frac{v^{2} } {r} \\ N = m ( \frac{ v^{2} }{r} + g) \\ = 515( \frac{225}{10} + 10) \\ = 515 \times 32.5 \\ = 16737.5N$