Question 1 A mass is attached to a vertical spring and bobs up and down between

Question

Question 1

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass

located when its kinetic energy is a maximum?

1. at either A or B

2. midway between A and B

3. one-fourth of the way between A and B

4. none of the above

Question 2

A mass of 200g hung from an ideal spring causes it to stretch by 8.40 cm.

What is the frequency (f) of oscillation for this spring/mass system?

1. 1.72 Hz 2. 3.03 Hz

3. 19.0 Hz 4. 72.3 Hz

Question 3

A pendulum has a period of 2.0 s on Earth. What is its length?

1. 2.0 m 2. 1.0 m

3. 0.70 m 4. 0.50 m

Question 4

The mass of a pendulum is doubled. What affect does this have on its frequency?

1. No effect

2. It causes the frequency to decrease.

3. Ir causes the frequency to increase.

Question 5

The wave speed for a 2.0 m long string fixed at both ends is 200 m/s.

Which of the following is not a resonant frequency of this string?

1. 25 Hz 2. 50 Hz

3. 100 Hz 4. 200 Hz

Explanation / Answer

Question 1

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass

located when its kinetic energy is a maximum?

1. at either A or B ( here potential energy is maximum)

2. midway between A and B

3. one-fourth of the way between A and B

4. none of the above

________________

Question 2

A mass of 200g hung from an ideal spring causes it to stretch by 8.40 cm.

What is the frequency (f) of oscillation for this spring/mass system?

1. 1.72 Hz

2. 3.03 Hz

3. 19.0 Hz

4. 72.3 Hz

M = 200 g = 0.200 Kg

x = 8.40 x 10-2m

f = (1/2)g/x

f = (1/ 2 x 3.14 )x (9.8 / 8.4 x 10-2)

f = 1.72 Hz

________________

Question 3

A pendulum has a period of 2.0 s on Earth. What is its length?

1. 2.0 m

2. 1.0 m

3. 0.70 m

4. 0.50 m

T = 2(L/g)

T2 = 42L/g

L = gT2 / 42

L = 9.8 x 22 / 4 x 3.142

T = 0.99 m = 1.0 m

________________

Question 4

The mass of a pendulum is doubled. What affect does this have on its frequency?

1. No effect

2. It causes the frequency to decrease.

3. Ir causes the frequency to increase.

frequency = (1/2)g/x,

It is independent of mass

________________

Question 5

The wave speed for a 2.0 m long string fixed at both ends is 200 m/s.

Which of the following is not a resonant frequency of this string?

1. 25 Hz

2. 50 Hz

3. 100 Hz

4. 200 Hz

Fundamental frequency f1 = v/2L

f1 = 200 /2 x 2 = 50 Hz

fn = nf1

f2 = 2(50) = 100 Hz

f3 = 3(50) = 150 Hz

f4 = 4(50) = 200 Hz

Since n is a natural number

All frequencies will be 50 Hz or Higher so 25 Hz is not a resonant frequency

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