Physics C Name:

Circular Motion and Gravitation Review1.

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10.An 884 kg satellite in orbit around a planet has a gravitational potential energy of –5.44 x 1010 J. The orbital radius of the satellite is 8.52 x 106 m and its speed is 7.84 x 103 m/s.a) What is the mass of the planet? (3 marks)b) What is the kinetic energy of the satellite? (2 marks)c) What is the total energy of the satellite? (2 marks)

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39. A formula 1 racecar is getting ready to speed around a flat and circular curve that has a radius of 33 m. The driver knows that the maximum speed the car can go around the turn before starting to slide is 19.4 m/s. What is the coefficient of status friction between the car’s tires and the road?

40. The force of gravity between two objects is 100 Newtons. What will be the force of gravity between them if the distance between them is doubled?

41. A planet orbits a star at a distance of 2 x 1011 meters with a velocity of 40,000 m/s. What is the mass of the star?

42. a. Write an algebraic expression for the gravitational force between Saturn and one of its moons, assuming the orbit of the moon is circular.

b. Use your expression from part (a) and derive an equation for the orbital period T of a moon as a function of its orbital radius R.

c. Suppose you had access to data on the orbits of this and others of Saturn’s moons and wished to estimate Saturn’s mass. Using your equation from part (b), describe which astronomical quantities should be graphed to yield a straight line with a slope that could be used to determine Saturn's mass.