WorksheetsSimple Harmonic Motion
Total questions: 40
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
A force of 30 N stretches a very light ideal spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?
a)
41 N/m
b)
22 N/m
c)
34 N/m
d)
46 N/m
2.
A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. Determine the period for one complete back and forth cycle.
a)
2 sec
b)
12 sec
c)
8 sec
d)
10 sec
3.
A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. Determine the period for one complete back and forth cycle.
a)
2 sec
b)
12 sec
c)
8 sec
d)
10 sec
4.
A pendulum is 0.75 meters long and has a period of 4.17 seconds. The Pendulum is on an unknown planet. What is the gravity of the Unknown Planet?
a)
9.8
b)
3.4
c)
1.7
d)
Greater than 9.8
5.
If the length of a simple pendulum is doubled, its period will:
a)
halve
b)
increase by a factor of sqrt(2)
c)
decrease by a factor of sqrt(2)
d)
double
6.
From the graph ,the spring constant is.
a)
4.5 m
b)
15 N
c)
20 N/m
d)
200 N/m
7.
A net force of 430 N acts to stretch an extension spring. How far will the spring stretch if its spring constant is 700 N/m?
a)
43.9
b)
0.307 m
c)
1.63 m
d)
0.614 m
8.
What force should be applied to compress a spring by 0.013 m if its spring constant is k = 1900 N/m?
a)
1880 N
b)
24.7 N
c)
1900 N
d)
0.127 N
9.
The period of a pendulum may be decreased by
a)
Increasing the mass of the bob
b)
moving the equilibrium point
c)
decreasing the mass of the bob
d)
shortening the length of pendulum
10.
What is the frequency of a pendulum that has a period of 10 s?
a)
10 Hz
b)
1/1000 Hz
c)
.1 Hz
11.
A simple harmonic oscillator takes 4.8 s to undergo five complete vibrations. What is the period (T) of 1 cycle?
a)
4.8 s
b)
.96 s
c)
9.8 s
12.
A simple harmonic oscillator takes 4.8 s to undergo five complete vibrations. What is the frequency of 1cycle?
a)
1.04 s
b)
4.8 s
c)
1/4.8 s
13.
A 550 kg mass is in simple harmonic motion on a spring, solve for the displacement if the spring constant value for the spring is 98100 N/m and the restoring force is -981 N.
a)
100 m
b)
.01 m
c)
9.62 x 108 m
14.
If a force of 20 N stretches a spring 0.5 m, what is the spring constant?
a)
10 N/m
b)
20 N/m
c)
40 N/cm
d)
40 N/m
15.
Based on your findings, which equation could best describe the pendulum’s period?
a)
A
b)
B
c)
C
d)
D
16.
What is the period on Earth of a pendulum with a length of 2.4 m?
a)
3.1 sec
b)
1.9 sec
c)
9.3 sec
d)
5.1 sec
17.
For a system in simple harmonic motion, which of the following is the number of cycles or vibrations per unit of time?
a)
amplitude
b)
period
c)
frequency
d)
revolution
18.
For a system in simple harmonic motion, which of the following is the time required to complete a cycle of motion?
a)
amplitude
b)
period
c)
frequency
d)
revolution
19.
A mass-spring system can oscillate with simple harmonic motion because a compressed or stretched spring has which kind of energy?
a)
kinetic
b)
mechanical
c)
gravitational potential
d)
elastic potential
20.
What is the equation for frequency?
a)
f = t/n
b)
f = 1/T
c)
f = 2 T
21.
A pendulum takes 2 seconds to complete one cycle. What is its period?
a)
1/2 sec
b)
2 sec
c)
4 sec
d)
1 sec
22.
A force of 200 N causes a displacement with a magnitude of 0.5 m. What is the constant of the spring?
a)
100 N/m
b)
200 N/m
c)
400 N/m
d)
800 N/m
23.
An ideal spring with a constant of 200 N/m is acted upon by a 500 N force directed in the positive direction. What is the magnitude and direction of the displacement?
a)
0.4 m
b)
-0.4 m
c)
1.5 m
d)
-1.5 m
24.
This spring has a constant of 80 N/m. What is the magnitude of the force being applied? The dotted green line represents the spring's equilibrium position and the green vector is displacement.
a)
20 N
b)
80 N
c)
160 N
d)
320 N
25.
This spring has a constant of 80 N/m. What is the elastic potential energy stored in the spring? The dotted green line represents the spring's equilibrium position and the green vector is displacement.
a)
Energy is conserved, it cannot be stored.
b)
5 N
c)
20 N
d)
40 N
26.
In which direction is the pictured spring's restoring force acting?
a)
To the right.
b)
To the left.
c)
There is no restoring force.
d)
Both left and right.
27.
A cylinder hangs motionless 40 cm below its equilibrium position from a spring with a constant of 50 N/m. What is the mass of the cylinder?
a)
.8 kg
b)
1.25 kg
c)
2 kg
d)
6 kg
28.
A cylinder with a mass of m and a constant of k oscillates in simple harmonic motion from an ideal spring. If the mass of the cylinder is quadrupled, the Period would...
a)
Double
b)
Quadruple
c)
Be increased by 16 times
d)
Remain unchanged
29.
A cylinder with a mass of m and a constant of k oscillates in simple harmonic motion from an ideal spring. If the constant of the spring is quadrupled, the Period would...
a)
Double
b)
Quadruple
c)
Be increased by 16 times
d)
Be cut in half
30.
Which position shows the spring with maximum kinetic energy?
a)
A
b)
B
c)
C
d)
D
31.
Which position shows the spring with maximum gravitational potential energy?
a)
A
b)
B
c)
C
d)
D
32.
Which position shows the spring with minimum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
33.
Which position shows the spring with minimum gravitational potential energy?
a)
A
b)
B
c)
C
d)
D
34.
Which position shows the spring with maximum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
35.
The Nerf NStrike Elite XD fires a 50 gram dart at 20 m/s (usually at a younger sibling). It does this by first compressing a spring by 10cm, then quickly releasing it. What is the spring constant of the spring? (Assume the toy is frictionless)
a)
0.2 N/m
b)
0.1 N/m
c)
10 N/m
d)
20 N/m
36.
A mass attached to a spring vibrates back and forth. At the equilibrium position, the
a)
acceleration reaches a maximum.
b)
velocity reaches a maximum.
c)
net force reaches a maximum.
d)
velocity reaches zero.
37.
A truck with bad shock absorbers bounces up and down after hitting a bump. The truck has a mass of 1700 kg and is supported by four springs, each having a spring constant of 6200 N/m. What is the period for each spring?
a)
0.26 sec
b)
1.645 sec
c)
0.26 hz
d)
1.645 hz
38.
What is the period of a 693 cm long pendulum with a bob of mass 68.0 kg? Assume the acceleration due to gravity is 9.8 m/s^2.
a)
5.28 hz
b)
5.28 sec
c)
7.47 hz
d)
7.47 sec
39.
Continued from before, A wave has an amplitude of 58 cm. It has a period of 0.43 seconds. What is the maximum velocity?
a)
8.475 cm/s
b)
8.475 m/s
c)
0.118 cm/s
d)
0.118 m/s
40.
A wave has an amplitude of 58 cm. It has a period of 0.43 seconds. What is the angular velocity (w)?
a)
2.70 rad/s
b)
3.97 rad/s
c)
14.612 rad/s
d)
58.0 rad/s
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