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1. |
A 2-kg mass oscillates in one dimension with simple harmonic motion on the end of a massless spring on a horizontal frictionless table according to Ê
Ê where the units are SI.Ê The total mechanical energy of this system is |
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A)Ê 1 JÊÊÊ B)Ê 3 JÊÊÊ C)Ê 5 JÊÊÊ D)Ê 7 JÊÊÊ E)Ê 9 J |
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2. |
Of the satellites shown revolving around Earth, the one with the greatest speed is
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A)Ê 1ÊÊÊ B)Ê 2ÊÊÊ C)Ê 3ÊÊÊ D)Ê 4ÊÊÊ E)Ê 5 |
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3. |
What is the force of gravity between the proton and electron in a hydrogen atom, given that G = 6.67 « 10ö11 Nám2/kg2, mass of a proton = 1.67 « 10ö27 kg, mass of an electron = 9.1 « 10ö31 kg, and average radius of the electron's orbit in the hydrogen atom = 0.0529 nm (note: 1nm = 10-9m)? |
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A) |
1.9 « 10ö57 N |
D) |
3.6 « 10ö47 N |
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B) |
1.9 « 10ö54 N |
E) |
3.6 « 10ö41 N |
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C) |
3.6 « 10ö53 N |
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4. |
The acceleration due to gravity at the surface of Earth is g.Ê The radius of Earth is RE.Ê The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is |
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A)Ê REÊÊÊ B)Ê 9REÊÊÊ C)Ê RE/3ÊÊÊ D)Ê 3REÊÊÊ E)Ê None of these is correct. |
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5. |
Two satellites of the same mass are placed in orbits around Earth. Satellite One is at an altitude of 1RE and Satellite Two at an altitude of 2RE where RE = 6370 km is the radius of Earth. What is the ratio of the potential energy of Satellite One to Satellite Two? |
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A)Ê |
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6. |
A body is in mechanical equilibrium when |
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A) |
it is moving with constant acceleration. |
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B) |
it is being moved by a constant force. |
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C) |
the sum of the external forces acting on it is zero. |
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D) |
the sum of the external torques acting on it is zero. |
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E) |
it is moving with constant velocity. |
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7. |
A 10-m long plank (of negligible mass) is supported at each end by vertical cables.Ê A person of unknown weight sits on the plank between the cables.Ê The tension in the left cable is 300 N, and in the right cable it is 200 N.Ê How far is the person sitting from the left cable? |
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A)Ê 2.0 mÊÊÊ B)Ê 3.0 mÊÊÊ C)Ê 4.0 mÊÊÊ D)Ê 6.0 mÊÊÊ E)Ê 7.0 m |
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8. |
When an object is oscillating in simple harmonic motion in the vertical direction, its maximum speed occurs when the object |
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A) |
is at its highest point. |
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B) |
is at its lowest point. |
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C) |
is at the equilibrium point. |
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D) |
has the maximum net force exerted on it. |
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E) |
has a position equal to its amplitude. |
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9. |
A particle is oscillating with simple harmonic motion.Ê The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm.Ê As the particle passes its central equilibrium position, the acceleration of the particle is |
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A) |
100 cm/s2 |
D) |
zero |
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B) |
1.6 « 105 cm/s2 |
E) |
3.2 « 106 cm/s2 |
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C) |
4 « 106 cm/s2 |
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10. |
A spring vibrates in simple harmonic motion according to the equation Ê
Ê where x is in centimeters and t is in seconds.Ê The total number of vibrations this body makes in 10 s is |
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A)Ê 0.5ÊÊÊ B)Ê 10ÊÊÊ C)Ê pÊÊÊ D)Ê 15ÊÊÊ E)Ê 5 |
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11. |
You want a mass that, when hung on the end of a spring, oscillates with a period of 1 s. Êa) If the spring has a spring constant of 10 N/m, the mass should be b) If the mass is then ãbumpedä upward from equilibrium with an initial vertical speed of 2π m/s, what will be the amplitude of the ensuing oscillation? c) Taking upward as positive, write the y-position of the mass as a function of time (with t = 0 sec being ãbumpä time and y = 0 m being ãbumpä position). d) Write the velocity of the mass as a function of time. e) At what time, after the Îbumpâ, is the velocity of the mass first zero? |
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12. |
A satellite of mass m = 105 kg orbits the earth in a circular path at a distance from the center of the earth of 2 earth radii. a) What is the value of the centripetal force on the satellite? b) What is the gravitational field value at the location of the satellite? c) What is the speed of the satellite? d) How much time is required for the satellite to complete one revolution around the earth? |
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Ê