abeigailshelton24831 abeigailshelton24831
  • 24-08-2019
  • Physics
contestada

A 150 kg roller coaster has a dip in it with a radius of 30 m. If a carriage is travelling through the dip at 20 m/s then find the normal reaction of the rails on the carriage.

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JemdetNasr JemdetNasr
  • 27-08-2019

Answer:

[tex] 3470[/tex] N

Explanation:

[tex]m[/tex] = mass of the roller coaster = 150 kg

[tex]r[/tex] = Radius of the dip = 30 m

[tex]v[/tex] = Speed of the carriage = 20 m/s

[tex]N[/tex] = Normal reaction

Force equation for the motion is given as

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

[tex]N - (150) (9.8) = \frac{(150)(20)^{2}}{30}[/tex]

[tex]N = 3470[/tex] N

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