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1. If the distance between two point particles is doubled, then the gravitational
force between them
(A) decreases by a factor of 4.
(B) decreases by a factor of 2.
(C) increases by a factor of 2.
(D) increases by a factor of 4.
(E) Cannot be determined without knowing the masses
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2. At the surface of the earth, an object of mass m has weight w. If this object
is transported to an altitude that’s twice the radius of the earth, then,
at the new location,
(A) its mass is m/2 and its weight is w/2
(B) its mass is m and its weight is w/2
(C) its mass is m/2 and its weight is w/4
(D) its mass is m and its weight is w/4.
(E) its mass is m and its weight is w/9.
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3. A moon of mass m orbits a planet of mass 100m. Let the strength of the gravitational
force exerted by the planet on the moon be denoted by F1, and let the
strength of the gravitational force exerted by the moon on the planet be F2.
Which of the following is true?
(A) F1 = 100F2
(B) F1 = 10F2
(C) F1 = F2
(D) F2 = 10F1
(E) F2
= 100F1
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4. The planet Pluto has 1/500 the mass and 1/15 the radius of Earth. What is the
value of g on the surface of Pluto?
(A) 0.3 m/s2
(B) 1.6 m/s2
(C) 2.4 m/s2
(D) 4.5 m/s2
(E) 7.1 m/s2
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5. A satellite is currently orbiting Earth in a circular
orbit of radius R; its kinetic energy is K1. If
the satellite is moved and enters a new circular orbit of
radius 2R, what will be its kinetic energy?
(A) K1/4
(B) K1/2
(C) K1
(D) 2K1
(E) 4K1
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6. A moon of Jupiter has a nearly circular orbit of radius R and an orbit period
of T. Which of the following expressions gives the mass of Jupiter?
(A) 2pR / T
(B) 4p2R / T2
(C) 2pR3
/ (GT2)
(D) 4p2R2 / (GT2)
(E) 4p2R3
/ (GT2)
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7. Two large bodies, Body A of mass m and Body B of mass 4m, are separated by a
distance R. At what distance from Body A, along the line joining the bodies, would
the gravitational force on an object be equal to zero? (Ignore the presence of any
other bodies.)
(A) R/16
(B) R/8
(C) R/5
(D) R/4
(E) R/3
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8. The mean distance from Saturn to the Sun is 9 times greater than the mean distance
from Earth to the Sun. How long is a Saturn year?
(A) 18 Earth years
(B) 27 Earth years
(C) 81 Earth years
(D) 243 Earth years
(E) 729 Earth years
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9. [APC] The Moon has mass M and radius R. A small object is
dropped from a distance of 3R from the Moon’s center. The
object’s impact speed when it strikes the surface of the
Moon is equal to
for k = ___
(A) 1/3
(B) 2/3
(C) 3/4
(D) 4/3
(E) 3/2
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10. [APC] A planet orbits the Sun in an elliptical orbit of
eccentricity e. What is the ratio of the planet’s speed at
perihelion to its speed at aphelion?
(A) 1/(1—e)
(B) e/(1—e)
(C) 1/(1+e)
(D) e/(1+e)
(E) (1+e)/(1—e)
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