Answer to Question #152469 in Physics for Trix Wu

Question #152469

1.     Find the central force acting on a 1,100 kg car traveling at 27 m/s around a high way curve of radius 150 m.


1.     A car speeds around an 80-m radius curve of a freeway. A 60 kg passenger holds the armrest of the car door with a force of 220 N so as not to slide or thrown away. Disregarding friction, determine the cars speed in km/h.


1
Expert's answer
2020-12-23T10:19:07-0500

The centripetal force in the first problem is


Fc=mv2/R=1100272/150=5346 N.F_c=mv^2/R=1100\cdot27^2/150=5346\text{ N}.


Second problem: use the same equation but express speed. The force required to overcome inertia is equal to the centripetal force:


v=FcRm=17.1 m/s, v=17.13600/1000=61.6 km/h.v=\sqrt{\frac{F_cR}{m}}=17.1\text{ m/s},\\\space\\ v=17.1\cdot3600/1000=61.6\text{ km/h}.

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