Question

# a miniature steam train rounds a bend in the track at 5.0 m/s. the curve has...

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?

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

Initial speed of the train = V1 = 5 m/s

Radius of the curve = R = 9 m

Centripetal acceleration of the engineer = a1

a1 = 2.778 m/s2

Centripetal force on the engineer = F1

F1 = 266.67 N

New increased speed of the train = V2

Centripetal force on the engineer at this new speed = F2

F2 = 682.67 N

a) Centripetal acceleration of the engineer = 2.778 m/s2

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