ch12-1 newton’s law of universal gravitation chapter 12: gravity f g = gm 1 m 2 /r 2 g = 6.67 x 10...
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Ch12-1 Newton’s Law of Universal Gravitation
Chapter 12: Gravity
Fg = Gm1m2/r2 G = 6.67 x 10-11 Nm2/kg2
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Figure 12-2Dependence of the Gravitational Force
on Separation Distance, r
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CT1: Suppose Earth had no atmosphere and a ball were fired from the top of Mt. Everest in a direction tangent to the ground. If the initial speed were high enough to cause the ball to travel in a circular trajectory around Earth, the ball’s acceleration would
A. be much less than g (because the ball doesn’t fall to the ground).
B. be approximately g.C. depend on the ball’s speed.
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1.5 x 1011 m
3.84 x 108 m
Not to scale!
1.5 x 1011 m
FEM
FSM
F
P12.8 (p.389)
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CT2: It is best to say that the Moon orbits the
A. Earth.
B. Sun.
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Ch12-2 Gravitational Attraction of Spherical Bodies
Chapter 12: Gravity
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CT3: Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the centripetal force acting on B to that acting on A? (FB/FA)
A. 2B. 1/4C. 1/2D. 1/2E. 4
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CT4: In addition to using kinematics, the big picture principle in P12.20 (p.390) will be
A. Newton’s laws.
B. conservation of energy.
C. conservation of momentum.
D. the work-kinetic energy theorem.
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Ch12-3 Kepler’s Laws
Chapter 12: Gravity
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Kepler’s First Law: The planets orbit the Sun in ellipses with the Sun at one of the foci.
Semi-major axis = a.
2a
2a = 2r
2a
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Kepler’s Second Law: The orbits sweep out equal areas in equal times.
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greater v smaller v
L = mvr is constant. Angular momentum is conserved
because the central force of the Sun produces net = 0.
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Kepler’s Third Law: T a3/2, where a is the semi-major axis of the ellipse. For a circle, a = r.
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CT5: In addition to using kinematics, the big picture principle in P12.28 (p.390) will be
A. Newton’s laws.
B. conservation of energy.
C. conservation of momentum.
D. the work-kinetic energy theorem.
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CT6: For P12.31 (p.390), the period depends on
A. the mass of the Earth.
B. the mass of the satellite.
C. both the mass of the Earth and the satellite.
D. neither the mass of the Earth nor the mass of
the satellite.
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Ch12-4 and 5 Potential Energy and Energy Conservation
Ug = -GMm/r for two masses M and m separated by r
E = K + Ug is conserved when only the gravitational force is acting because the universal gravitational force is a conservative force
Chapter 12: Gravity
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CT7: In addition to using kinematics, the big picture principle in P12.41 (p.391) will be
A. Newton’s laws.
B. conservation of energy.
C. conservation of momentum.
D. the work-kinetic energy theorem.
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P12.66 (p.392)
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CT8: In addition to using kinematics, the big picture principle in P12.67 (p.392) will be
A. Newton’s laws.
B. conservation of energy.
C. conservation of momentum.
D. the work-kinetic energy theorem.
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CT9:System A has masses m and m separated by r; system B has masses m and 2m separated by 2r; system C has masses 2m and 3m separated by 2r; and system D has masses 4m and 5m separated by 3r. Which system has the smallest attraction between the two masses?
A. A
B. B
C. C
D. D
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CT10:System A has masses m and m separated by r; system B has masses m and 2m separated by 2r; system C has masses 2m and 3m separated by 2r; and system D has masses 4m and 5m separated by 3r. Which system has the next smallest attraction between the two masses?
A. A
B. B
C. C
D. D
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CT11:System A has masses m and m separated by r; system B has masses m and 2m separated by 2r; system C has masses 2m and 3m separated by 2r; and system D has masses 4m and 5m separated by 3r. Which system has the greatest attraction between the two masses?
A. A
B. B
C. C
D. D