Name: __________________________Ê
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1. |
If the mass of a satellite is doubled while the radius of its orbit remains constant, the speed of the satellite is |
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A) |
increased by a factor of 8. |
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B) |
increased by a factor of 2. |
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C) |
not changed. |
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D) |
reduced by a factor of 8. |
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E) |
reduced by a factor of 2. |
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2. |
If the mass of a planet is doubled with no increase in its size, the escape speed for that planet is |
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A) |
increased by a factor of 1.4. |
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B) |
increased by a factor of 2. |
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C) |
not changed. |
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D) |
reduced by a factor of 1.4. |
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E) |
reduced by a factor of 2. |
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3. |
The horizontal bar in the figure (attached to masses by massless strings) will remain horizontal if
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A) |
L1 = L2 and R1 = R2 |
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B) |
L1 = L2 and M1 = M2 |
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C) |
R1 = R2 and M1 = M2 |
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D) |
L1M1 = L2M2 |
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E) |
R1L1 = R2L2 |
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4. |
A 10-m long plank (of negligible mass) is supported at each end by vertical cables, also of negligible mass.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 The person's weight is |
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A) |
100 N |
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B) |
300 N |
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C) |
400 N |
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D) |
500 N |
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E) |
700 N |
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5. |
Daniel and Jonathan are playing on the seesaw with their mother in the park. The 6-m long uniform board is hinged at its midpoint. If Daniel and Jonathan weigh 30kg and 20kg and sit at distances of 2m and 3m respectively from the fulcrum, calculate where their mother (mass = 60 kg) has to sit on the other side of the fulcrum for static equilibrium. |
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A) |
2.5 m |
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B) |
1.5 m |
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C) |
1.0 m |
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D) |
2.0 m |
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E) |
none of the above |
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6. |
A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T.Ê If the mass is doubled to 2m, the period of oscillation |
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A) |
increases by a factor of 2. |
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B) |
decreases by a factor of 2. |
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C) |
increases by a factor
of |
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D) |
decreases by a factor of
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E) |
is not affected. |
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7. |
If F is the force, x the displacement, and k a particular constant, for simple harmonic motion we must have |
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A) |
F = ök/x2 |
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B) |
F = k/x |
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C) |
F = (k/x2)1/2 |
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D) |
F = ökx2 |
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E) |
None of these is correct. |
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8. |
A body of mass 5.0 kg moves in simple harmonic motion according to the equation Ê
Ê where the units are SI.Ê The maximum speed of this body is approximately |
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A) |
0.013 m/s |
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B) |
0.40 m/s |
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C) |
0.60 m/s |
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D) |
1.2 m/s |
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E) |
30 m/s |
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9. |
The equation of a body in simple harmonic motion is Ê
Ê where y is in centimeters and t is in seconds.Ê The frequency (in Hz) of the oscillations is |
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A) |
p/10 Hz |
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B) |
p/4 Hz |
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C) |
10/p Hz |
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D) |
8 Hz |
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E) |
20 Hz |
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10. |
An 8.0-kg block is attached to a spring with a constant of 2.0 N/m.Ê If the spring is stretched 3.0 m from its equilibrium position and released from rest, the maximum velocity attained by the mass is |
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A) |
0.75 m/s |
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B) |
1.5 m/s |
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C) |
3.0 m/s |
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D) |
4.2 m/s |
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E) |
15 m/s |
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11. |
Two planets have masses M and m, and the ratio M/m = 25.Ê The distance between the planets is R.Ê The point P, is between the planets as shown, and the distance between M and P is x.Ê |
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A) |
With positive x toward the right, write the gravitational field (in vector form) at P due to M. |
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B) |
With positive x toward the right, write the gravitational field (in vector form) at P due to m. |
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C) |
Find x (in terms of R) for which the total gravitational field is zero. |
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D) |
Find the ratio of the force on M due to m to the force on m due to M. |
