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Circular Motion and Gravitation
MCAT Study Guide

1 .       The following information pertains to questions 1-4.

A Cadillac with mass 3 mo and a Volkswagen with mass mo go around the same unbanked circular curve on the freeway. Bumper to bumper they go with the same speed vo. The centripetal acceleration of the VW is ao and the centripetal force acting on it is Fo.

The centripetal acceleration of the Cadillac is ___ ao.

 



2 .       The centripetal force acting on the Cadillac is ___ Fo



3 .       If its speed was increased to 3 vo, the centripetal acceleration of the VW would be ao x ___. 



4 .       If the speed of the cars was 2 vo, the centripetal force acting on the VW would be Fo x ___. 



5 .       The following information pertains to questions 5-10.

Two spherical planets with radii R1 = 2 Ro and R2 = Ro and masses m1 = 2 mo and m2 = mo respectively are in circular orbits of radii r1 = 2 ro and r2 = ro respectively about the same star which has mass Ms >> mo. Much of this is depicted in the following figure.

The year for the first planet (the one with mass m1) is ___ the year for the second planet.

 



6 .       The speed of the first planet in its orbit is ___ the speed of the second planet in its orbit. 



7 .       The magnitude of the gravitational force exerted by the star on the first planet is ___ the magnitude of the gravitational force exerted by the star on the second planet. 



8 .       The acceleration of gravity on the surface of the second planet is ___ the acceleration of gravity on the surface of the first planet. 



9 .       The magnitude of the gravitational force exerted on the first planet by the second planet is ___ the magnitude of the gravitational force exerted on the second planet by the first planet. 



10 .       The magnitude of the gravitational force exerted by the sun on the first planet is ___ the magnitude of the gravitational force exerted by the sun on the second planet. 



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