1. | A satellite's orbit is maintained by a
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2. | A 1500 kg satellite is in a stable orbit at an altitude of 4.0 ×
10 5 m above Earth's surface. What is the
satellite's total energy in this orbit?
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3. | Which of the following graphs shows how the gravitational force varies
with the distance of separation between two objects?
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4. | A 5.2 × 10 4 kg rocket is initially
at rest on the surface of the earth. If 3.0 × 10
11 J of work is done on this rocket, what maximum altitude
h will the rocket reach? (Assume the rocket's mass does not change.)
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5. | A 450 kg piece of space debris initially at rest falls from an altitude
of 6.2 × 10 5 m above the earth's
surface. What is its kinetic energy just before impact with the surface?
(Ignore air resistance.)
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6. | A planet is in orbit as shown in the diagram below.
![]() The planet's gravitational potential energy will A. be constant throughout its orbit. B. always be equal to its kinetic energy. C. increase as the planet goes from point R to point S. D. decrease as the planet goes from point R to point S. |
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7. | What is the magnitude of the centripetal acceleration of the moon as
it orbits the earth?
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8. | A space station has an outer radius of 140 m. The station rotates so
that the occupants at X at the outer wall experience an acceleration of
9.8 m/s2. What acceleration will the occupants
at Y experience at the 100 m radius?
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9. | A 9.0 × 10 3
kg satellite with an orbital radius of 3.20 × 10
7 m orbits the earth at an altitude of 2.56 × 10
7 m. What is the orbital period?
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10. | A planet travels in an elliptical path around a star. The areas X,
Y and Z were swept out in equal time intervals.
![]() Which of the following describes the relationship between the areas? A. Area X is greater than area Z. B. Area X is equal to the sum of areas Y and Z. C. Area X is less than area Z. D. Area X is equal to area Y which is equal to area Z. |
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11. | A satellite orbits the Sun with a period of
220 days. An asteroid orbits the Sun with twice the orbital radius of the
satellite. What is the asteroid's period?
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12. | A space shuttle is in orbit about the earth at an altitude where the
acceleration due to gravity is 8.70 m/s2.
What is the shuttle's speed at this altitude?
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13. | Relative to zero at infinity, what is the gravitational potential energy
of a 7.2 × 10 2 kg satellite that
is at a distance of 3.4 × 10 7 m
from earth's centre?
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14. | An object is located on the surface of a planet. The work required
to remove this object from the planet's gravitational field depends on
which combination of the following three variables: mass of the planet,
mass of the object, and radius of the planet?
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15. | A 120 kg astronaut stands on the surface of an asteroid of radius 600
m. The astronaut leaves the surface with 15 J of kinetic energy and reaches
a maximum height of 300 m above the surface. What is the mass of the asteroid?
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16. | What minimum kinetic energy would a spacecraft of mass 1.2 ×
10 4 kg need at the surface of the Earth
so that it could escape to infinity?
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17. | A 900 kg satellite which is travelling around a planet of mass 8.1 × 10 25 kg has an orbital radius of 7.3 × 10 7 m. What is the orbital velocity of this satellite? (7 marks) | ||||||||||||||||||||
18. | A 1200 kg exploratory space probe located in a circular orbit around
the Sun. The orbital radius is 7.0 × 10 9 m.
a) What is the orbital speed of this satellite? (5 marks) b) If the Sun collapsed to one-tenth its present radius without a change to its mass, the space probe's orbital radius will (circle one) (1 mark) i) increase. ii) decrease. iii) stay the same. |
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19. | A 650 kg satellite in circular orbit around Earth has an orbital period
of 1.5 × 10 4 s.
a) What is the satellite's orbital radius? (5 marks). b) What is the gravitational potential energy of this satellite? (2 marks) |
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20. | The moon Titan orbits the planet Saturn with a period of 1.4 ×
10 6 s. The average radius of this orbit
is 1.2 × 10 9 m.
a) What is Titan's centripetal acceleration? (2 marks) b) Calculate Saturn's mass. (5 marks) |
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