(Multiple choice)

(1) True or false: 

(a) Kepler's law of equal areas implies that gravity varies inversely with the square of the distance. 

(b) The planet closest to the sun, on the average, has the shortest period of revolution about the sun.

(2)

If the mass of a satellite is doubled, the radius of its orbit can remain constant if the speed of the satellite 

(a) Increases by a factor of 8. 

(b) Increases by a factor of 2. 

(c) Does not change. 

(d) Is reduced by a factor of 8. 

(e) Is reduced by a factor of 2.

(3)

The distance from the center of the earth to a point where the acceleration due to gravity is g/4 is 

(a) R_E. 

(b) 4R_E. 

(c) R_E.

(d) 2R_E. 

(e) None of the above.

(4)

At the surface of the moon, the acceleration due to the gravity of the moon is a. At a distance from the center of the moon equal to four times the radius of the moon, the acceleration due to the gravity of the moon is 

(a) 16a. 

(b) a/4. 

(c) a/3. 

(d) a/16. 

(e) None of the above.

(5)

If the mass of a planet is doubled with no increase in its size, the escape speed for that planet will be 

(a) Increased by a factor of 1.4. 

(b) Increased by a factor of 2. 

(c) Unchanged. 

(d) Reduced by a factor of 1.4. 

(e) Reduced by a factor of 2.

(6)

A woman whose weight on earth is 500 N is lifted to a height two earth radii above the surface of the earth. Her weight will 

(a) Decrease to one-half of the original amount. 

(b) Decrease to one-quarter of the original amount. 

(c) Decrease to one-third of the original amount. 

(d) Decrease to one-ninth of the original amount.