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Pre-Test 04b 1
Pre-Test 04b
1. A body of mass 5.0 kg is suspended by a spring which stretches 10 cm when the mass is attached. It is then displaced downward an additional 5.0 cm and released. Its position as a function of time is approximately
|
a. |
y = -0.10 sin 9.9t |
|
b. |
y = 0.10 cos 9.9t |
|
c. |
y = -0.10 cos (9.9t + .1) |
|
d. |
y = 0.10 sin (9.9t + 5) |
|
e. |
y = -0.05 cos 9.9t |
2. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 cos (pt). The magnitude of the acceleration (in m/s2) of the body at t = 1.0 s is approximately
|
a. |
3.5 |
|
b. |
49 |
|
c. |
14 |
|
d. |
43 |
|
e. |
4.3 |
3. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5 sin (pt + p/3). The phase (in rad) of the motion at t = 2 s is
|
a. |
7p/3 |
|
b. |
p/3 |
|
c. |
p |
|
d. |
5p/3 |
|
e. |
2p |
4. If y = 0.02 sin (30x - 400t) (SI units), the frequency of the wave is
|
a. |
30 Hz |
|
b. |
15/p Hz |
|
c. |
200/p Hz |
|
d. |
400 Hz |
|
e. |
800p Hz |
5. A mass m = 2.0 kg is attached to a spring having a force constant k = 290 N/m as in the figure. The mass is displaced from its equilibrium position and released. Its frequency of oscillation (in Hz) is approximately
|
a. |
12 |
|
b. |
0.50 |
|
c. |
0.010 |
|
d. |
1.9 |
|
e. |
0.080 |
6. The oscillation of the 2.0-kg mass on a spring is described by
where x is in centimeters and t is in seconds. What is the force constant of the spring?
|
a. |
4.0 N/m |
|
b. |
0.80 N/m |
|
c. |
16 N/m |
|
d. |
32 N/m |
|
e. |
2.0
|
7. The motion of a particle connected to a spring is described by x = 10 sin (pt). At what time (in s) is the potential energy equal to the kinetic energy?
|
a. |
0 |
|
b. |
0.25 |
|
c. |
0.50 |
|
d. |
0.79 |
|
e. |
1.0 |
8. At sea level, at a latitude where
, a pendulum that takes 2.00 s for a complete swing back and forth has a length of 0.993 m. What is the value of g in m/s2 at a location where the length of such a pendulum is 0.970 m?
|
a. |
0.098 3 |
|
b. |
3.05 |
|
c. |
9.57 |
|
d. |
10.0 |
|
e. |
38.3 |
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