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Pre-Test 04b   1

Physics

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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  N/m

 

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