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The planets orbit the sun in:
The eccentricity of an ellipse with semimajor axis length 10 meters and
semiminor axis length 5 meters is:
A planet sweeps out an area equal to half the total area of its orbit in 180
days. Its orbital period is:
If the circular orbit of a planet is reduced in radius to 1/8 th of its original
value, its period is now, what
fraction of its old period,
T
_{old}
?
Which is the following orbits are possible around the earth:
Various orbits around the earth.
An eccentricity of zero means the orbit is:
An eccentricity of 1.5 means the orbit is:
If a satellite is orbiting the earth at radius
6×10^{6}
meters above the
center of the earth. What is its period? (The mass of the earth is
5.98×10^{24}
kilograms).
Kepler's Second Law is an expression of:
The direction of the force due to gravity between two point objects located at
and
is given by:
The gravitational force that a spherical shell of mass 102 kilograms exerts on a
5 kilogram mass at its center is:
If you can throw a ball 10 meters into the air on earth, approximately how high
would you me able to throw it on the moon (mass of the moon is
7.35×10^{22}
kilograms and its radius is
1700
kilometers).
A planet of mass
6×10^{25}
kilograms, orbiting the sun (mass
= 1.99×10^{30}
kilograms) has a velocity of 50 kilometers/sec. What is its
rate of change of angular momentum at this point:
The correct ordering of the forces in terms of their relative strength,
beginning with the strongest is: I) Gravity II) Strong Nuclear Force III)
Electromagnetic Force IV) Weak Nuclear Force.
A particle of mass 2 kilograms orbits the sun (mass
= 1.99×10^{30}
)
parabolically. Its velocity very far away from the sun is:
Two stars of equal mass exert a gravitational force on one another. This will
cause them to:
If it is desirable to give a rocket the maximum tangential velocity on its
launch, then the best launch site would be:
The total energy of a circular orbit is:
Which of these can not be deduced from Kepler's Laws: I) orbits may be
circular, II) The force
between two planets goes as
1/r
^{2}
, III) Gravity is a conservative force.
Which of the following has the smallest escape velocity:
The gravitational potential energy of a mass 100 kilometers from the earth,
compared to the same mass at
the surface is:
The gravitational potential at a point 100 kilometers above the earth's surface
is:
Put these orbits in order of increasing energy: I) parabola II)cicle III)
hyperbola IV) ellipse
The only orbit to have a positive total energy is:
A satellite in low-earth orbit (
r
r
_{e}
), has a period of:
The tides are caused by which of the following: I) The moon II) The sun III) The
rotation of the earth.
The escape velocity from the earth is approximately (mass of the earth is
5.98×10^{24}
kilograms
and its radius is
6.38×10^{6}
meters):
I) Newton, II)Einstein, III) Copernicus, IV) Kepler. The correct order in which
these scientists lived is:
Which is true of the gravitational force between the earth and the moon is: I)
equal and opposite II) zero at
some point between the two.
The minimum radius of orbit for a planet with
ε = 0.75
is:
What is the semimajor axis length of an elliptical earth orbit with apogee
1.4×10^{7}
meters and
perigee
1.2×10^{7}
meters?
The gravitational force between two objects is: I) Conservative II) Independent
of intervening objects III)
Central.
Gravitational field between two masses
In the arrangement shown in , a mass exactly half way
between the two masses
shown would have a gravitational potential energy of:
A planet in an elliptical orbit travels fastest at its:
An experiment to determine
G
was successfully performed by:
Escape velocity depends on:
The total energy of Io, orbiting Jupiter at a distance of
4.22×10^{6}
meters is (mass of Jupiter is 1.9
×10^{27}
kilograms, mass of Io is
8.9×10^{22}
kilograms):
Which of the following is an expression of the principle of equivalence?
To which of the following could Kepler's Laws be applied? I) a comet, II) a
binary star system, III) a projectile on the earth.
The gravitational potential energy can be defined as:
For a circular orbit, which of the following is true for the kinetic energy, T?
An 80 kilogram astronaut is in a spaceship accelerating upwards 4.9 m/s
^{2}
far
away from any star or planet. His apparent weight as measured by some scales in
the spaceship would be:
Assuming the earth is in a circular orbit about the sun, what is the speed of
the earth (the mass of the sun is
1.99×10^{30}
kilograms and the earth-
sun distance is
150×10^{9}
meters).
If the ratio of a planet's perihelion distance to aphelion distance is 0.75,
then the ratio of its greatest to least velocity on its orbit is:
If the orbits of Venus and the Earth are both circular, with the period of the
earth orbit 1 year and the period of Venus, 0.615 days, what is the ratio of the
earth's orbit to Venus's orbit?
The correct ordering, in terms of increasing numerical value of the kinetic,
potential and total energies for a circular orbit is:
A binary star system has two stars of masses
m
_{1}
and
m
_{2}
, orbiting about
their common center of mass with radii
r
_{1}
and
r
_{2}
respectively. What is
the square of the period of their orbit?