Question

a miniature steam train rounds a bend in the track at 5.0 m/s. the curve has a constant radius of 9.0 meters. the engineer conducting the train has a mass of 96 kg. a. calculate the centripetal acceleration. b. calculate the centripetal force. c. if the velocity of the train was increased to 8.0 m/s, what will be the centripetal force acting on the engineer?

Answer #1

Mass of the engineer conducting the train = M = 96 kg

Initial speed of the train = V_{1} = 5 m/s

Radius of the curve = R = 9 m

Centripetal acceleration of the engineer = a_{1}

a_{1} = 2.778 m/s^{2}

Centripetal force on the engineer = F_{1}

F_{1} = 266.67 N

New increased speed of the train = V_{2}

Centripetal force on the engineer at this new speed =
F_{2}

F_{2} = 682.67 N

a) Centripetal acceleration of the engineer = 2.778
m/s^{2}

b) Centripetal force on the engineer = 266.67 N

c) Centripetal force on the engineer if the velocity of train was increased to 8 m/s = 682.67 N

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