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Question

A roller coaster is travelling on a flat track with a minimum radius of curvature of 25 m and the train car has a maximum velocity of 15 m/s. What should be the friction coefficient between the train car and the track for the ride to be safe?
(g=10 m/s2)

A
0.5
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B
1.5
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C
2.5
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D
1.0
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Solution

The correct option is B 1.5
For safe ride, the friction between the track and the train car should be able to provide the required centripetal force.

mv2r=fμmg
Since v=vmax (given),
mv2maxr=μmg
μ=v2maxrg=15225×10=225250
μ=0.9

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