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SHM:SimplePendulum&Spring

Total questions: 64

Worksheet time: 52mins

Name
Class
Date
1.

A spring oscillates with a period of 0.02 seconds. What is the frequency?

a)

50 Hz

b)

5 Hz

c)

0.02 Hz

d)

1 Hz

2.

A spring with a frequency of 256 Hz has a period equal to...

a)

256 s

b)

0.0245 s

c)

0.0039 s

d)

.1608 s

3.

An astronaut takes a pendulum to Mars. What is the period of the pendulum if it has a length of 3.6 m? (Gravity on Mars: 3.72 m/s^2)

a)

6.39 s

b)

0.157 s

c)

0.161 s

d)

6.18 s

4.

What is the period of a pendulum on a 0.12 m long string with a 2 kg mass attached to it?

a)

0.69 s

b)

1.54 s

c)

1.44 s

d)

0.039 s

5.

An alien visits Jupiter for the first time and takes a pendulum to measure the planet's gravity. What is the Frequency of the pendulum if it has a length of 0.25 m? (Gravity on Jupiter: 24.79 m/s^2)

a)

62.6 Hz

b)

1.58 Hz

c)

0.016 Hz

d)

6.31 s

6.

What is the Frequency of a pendulum on a 0.38 m long string with a 1.5 kg mass attached to it?

a)

0.32 Hz

b)

0.81 Hz

c)

12.48 Hz

d)

1.24 Hz

7.

What is the gravity of planet X if a 2 m long pendulum has a period of 4s?

a)

2.74 m/s/s

b)

9.86 m/s/s

c)

16.28 m/s/s

d)

4.93 m/s/s

8.

A pendulum on Earth has a frequency of 620 Hz. What is the length the pendulum?

a)

3.87 x 10^-5 m

b)

1.55 x10^-9 m

c)

6.46 x10^-7 m

d)

0.0004 m

9.

A spring has a spring constant of 300 N/m. What force is required to compress the spring 0.24 m

a)

-34 N

b)

-0.0008 N

c)

-72 N

d)

-1250 N

10.

A spring has a spring constant of 6 N/m. If a force of 2.5 N is used to stretch the spring, how far does it stretch?

a)

0.81

b)

15 m

c)

2.4 m

d)

0.42 m

11.

A spring is compressed a distance of 9.56 m, using a force of 272 N. What is the spring constant of this spring?

a)

0.04 N/m

b)

28.45 N/m

c)

2600 N/m

d)

51.27

12.

A spring starting at the resting position is compressed a distance of 0.87m. If the spring constant is 1500 N/m, what is the work required to compress the spring?

a)

-461 J

b)

-284 J

c)

+567 J

d)

+782 J

13.

A spring starting at the 0.2 m mark is compressed down to the 0.03 m mark. How much work was done if the spring has a spring constant of 200 N/m?

a)

-0.256 J

b)

+0.256 J

c)

-3.91 J

d)

+3.91 J

14.

What is the work required to stretch a spring 0.67 m if it has a spring constant of 412 N/m from it's resting position?

a)

+92.47 J

b)

-92.47 J

c)

+0.01 J

d)

-0.01 J

15.

A pendulum is made to swing from maximum displacement from the left (when t=0). Which of the following graph represents the displacement with time? (take direction to left as being negative direction)

a)
b)
c)
d)
16.

A pendulum is made to swing from maximum displacement from the left (when t=0). Which of the following graph represents the velocity with time? (take direction to left as being negative direction)

a)
b)
c)
d)
17.

A pendulum is made to swing from maximum displacement from the left (when t=0). Which of the following graph represents the acceleration with time? (take direction to left as being negative direction)

a)
b)
c)
d)
18.

A pendulum is made to swing from maximum displacement from the left (when t=0). Which of the following graph represents the restoring force with time? (take direction to left as being negative direction)

a)
b)
c)
d)
19.

A pendulum is made to swing from maximum displacement from the right (when t=0). Which of the following graph represents the displacement with time? (take direction to left as being negative direction)

a)
b)
c)
d)
20.

A pendulum is made to swing from maximum displacement from the right (when t=0). Which of the following graph represents the velocity with time? (take direction to left as being negative direction)

a)
b)
c)
d)
21.

A pendulum is made to swing from maximum displacement from the right (when t=0). Which of the following graph represents the acceleration with time? (take direction to left as being negative direction)

a)
b)
c)
d)
22.

A pendulum is made to swing from maximum displacement from the right (when t=0). Which of the following graph represents the restoring force with time? (take direction to left as being negative direction)

a)
b)
c)
d)
23.

An oscillator exhibits SHM. Taking a displacement of zero when t=0, which of the following graph could represent the displacement with time?

a)
b)
c)
d)
24.

An oscillator exhibits SHM. Taking a displacement of zero when t=0, which of the following graph could represent the velocity with time?

a)
b)
c)
d)
25.

An oscillator exhibits SHM. Taking a displacement of zero when t=0, which of the following graph could represent the acceleration with time?

a)
b)
c)
d)
26.

An oscillator exhibits SHM. This graph shows how its displacement varies with time. Which of the following graphs could represent the velocity with time?

a)
b)
c)
d)
27.

An oscillator exhibits SHM. This graph shows how its displacement varies with time. Which of the following graphs could represent the acceleration with time?

a)
b)
c)
d)
28.

In this video, what is true of the speed.

a)

it is a maximum value at t=0

b)

it is a zero at t=0

29.
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.
30.
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
31.
The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulum’s
a)
period.
b)
frequency.
c)
vibration.
d)
amplitude.
32.
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
33.
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
34.
How are frequency and period related in simple harmonic motion?
a)
They are directly related.
b)
They are inversely related.
c)
Their sum is constant.
d)
Both measure the number of cycles per unit of time.
35.
By what factor should the length of a simple pendulum be changed in order to triple the period of vibration?
a)
3
b)
6
c)
9
d)
27
36.
Suppose that a pendulum has a period of 4.0 s at Earth’s surface. If the pendulum is taken to the moon, where the acceleration due to gravity is much less than on Earth, will the pendulum’s period increase, decrease, or stay the same? 
a)
Increase
b)
Decrease
c)
Stays the same
d)
Need more information
37.
A certain pendulum with a 1.00 kg bob has a period of 3.50 s. What will happen to the period of the pendulum if the 1.00 kg bob is replaced by a bob with a mass of 2.00 kg?
a)
Increase
b)
Decrease
c)
Stays the same
d)
Need more information
38.
A pendulum's period is initially t.  Changes are made to the system so that the new period is 2t. What may have been changed?
a)
The length of the pendulum was increased by a factor of 2.
b)
The pendulum was moved to a planet with 2 times the mass of Earth.
c)
The length of the pendulum was increased by a factor of 4.
d)
The pendulum was moved to a planet with 4 times the  mass of earth.
39.
Which of the following is true of an oscillating spring-mass system?
a)
The velocity is greatest when the potential energy is greatest.
b)
The kinetic energy is greatest when the force is greatest.
c)
The potential energy is greatest when the acceleration is greatest.
d)
The potential energy is greatest when the displacement is least.
40.
Which one of the following statements is true concerning an object executing simple harmonic motion?
a)
Its velocity is never zero.
b)
Its velocity and acceleration are simultaneously zero.
c)
Its velocity is zero when its acceleration is a maximum.
d)
Its maximum acceleration is equal to its maximum velocity.
41.
Pendulum "A" is on Jupiter Pendulum "B" is on the Moon.  The Moon has less gravity than  Jupiter the pendulums have the same mass and length.  Which Pendulum is moving faster?
a)
A
b)
B
c)
Same
42.
What is the frequency of the wave shown in the figure?
a)
1 Hz
b)
4 Hz
c)
0.5 Hz
d)
2 Hz
43.
Which of the following is a true statement regarding springs?
a)
The higher the value of the spring constant, the stiffer the spring.  
b)
In Hooke's law, the force exerted by the spring acts in the same direction as displacement.  
c)
Springs are designed to provide unpredictable variations in force.  
d)
The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.  
44.
Which position shows the spring with maximum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
45.
A mass is hung from a spring and set into vertical oscillation.
Which row in the table correctly shows the kinetic energy Ek of the mass at maximum displacement and the potential energy Ep of the mass at the equilibrium position?
a)
A
b)
B
c)
C
d)
D
46.
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.
47.
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
48.
The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulum’s
a)
period.
b)
frequency.
c)
vibration.
d)
amplitude.
49.
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
50.
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
51.
How are frequency and period related in simple harmonic motion?
a)
They are directly related.
b)
They are inversely related.
c)
Their sum is constant.
d)
Both measure the number of cycles per unit of time.
52.
By what factor should the length of a simple pendulum be changed in order to triple the period of vibration?
a)
3
b)
6
c)
9
d)
27
53.
Suppose that a pendulum has a period of 4.0 s at Earth’s surface. If the pendulum is taken to the moon, where the acceleration due to gravity is much less than on Earth, will the pendulum’s period increase, decrease, or stay the same? 
a)
Increase
b)
Decrease
c)
Stays the same
d)
Need more information
54.
A certain pendulum with a 1.00 kg bob has a period of 3.50 s. What will happen to the period of the pendulum if the 1.00 kg bob is replaced by a bob with a mass of 2.00 kg?
a)
Increase
b)
Decrease
c)
Stays the same
d)
Need more information
55.
A pendulum's period is initially t.  Changes are made to the system so that the new period is 2t. What may have been changed?
a)
The length of the pendulum was increased by a factor of 2.
b)
The pendulum was moved to a planet with 2 times the mass of Earth.
c)
The length of the pendulum was increased by a factor of 4.
d)
The pendulum was moved to a planet with 4 times the  mass of earth.
56.
Which of the following is true of an oscillating spring-mass system?
a)
The velocity is greatest when the potential energy is greatest.
b)
The kinetic energy is greatest when the force is greatest.
c)
The potential energy is greatest when the acceleration is greatest.
d)
The potential energy is greatest when the displacement is least.
57.
Which one of the following statements is true concerning an object executing simple harmonic motion?
a)
Its velocity is never zero.
b)
Its velocity and acceleration are simultaneously zero.
c)
Its velocity is zero when its acceleration is a maximum.
d)
Its maximum acceleration is equal to its maximum velocity.
58.
An object oscillating in simple harmonic motion has a time period T. The first graph shows how its displacement varies with time. Which of the subsequent graphs, A to D, show how the kinetic energy, Ek, of the object varies with time? 
a)
A
b)
B
c)
C
d)
D
59.
What is the frequency of the wave shown in the figure?
a)
1 Hz
b)
4 Hz
c)
0.5 Hz
d)
2 Hz
60.
Which of the following is a true statement regarding springs?
a)
The higher the value of the spring constant, the stiffer the spring.  
b)
In Hooke's law, the force exerted by the spring acts in the same direction as displacement.  
c)
Springs are designed to provide unpredictable variations in force.  
d)
The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.  
61.
Convert from period to frequency.
4 sec = ______ Hz.
a)
0.25 Hz
b)
0.1 Hz
c)
2 Hz
d)
10 Hz.
62.
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
63.
Which position shows the spring with maximum elastic potential energy?
a)
A
b)
B
c)
C
d)
D
64.
A mass is hung from a spring and set into vertical oscillation.
Which row in the table correctly shows the kinetic energy Ek of the mass at maximum displacement and the potential energy Ep of the mass at the equilibrium position?
a)
A
b)
B
c)
C
d)
D