Q: What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? (Use $$G = 6.67 \times 10$$^{-11}$$ \text{N} \cdot \text{m}^2/\text{kg}^2)$$

$$5.8 \times 10$$^{-8}$$ \text{N}$$

Q: A planet's moon Zygo is $$4.0 \times 10^5$ m in diameter. Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20$$ \text{ m/s}^2$$. What is the mass of Zygo? (Use G = 6.67$$ \times $$10^{-11}$$ \text{N} \cdot \text{m}^2/\text{kg}^2$$)

$$1.2 \times 10$$^{20}$$ \text{ kg}$$

Question 1

A hypothetical planet has a mass of one-half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of $$g$$, the acceleration due to gravity at the surface of the Earth?

Accepted Answer

$$\frac{g}{8}$$

Question 2

What is the total distance traveled by an object moving back and forth in simple harmonic motion in a time interval equal to its period when its amplitude is 2 cm?

Accepted Answer

8 cm

Question 3

If a sound seems to be getting louder, which of the following is probably increasing?

Accepted Answer

Intensity

Question 4

A leaky faucet drips 60 times in 30.0 s. What is the frequency of the dripping?

Accepted Answer

1.0 Hz

Question 5

Which of the following graphs shows a wave where the amplitude and the frequency are both doubled compared to the original wave shown in the fifth image?

Accepted Answer

Graph (d)

Question 6

For the oscillation shown in the fifth image, what is the frequency of oscillations?

Accepted Answer

2 Hz

Question 7

For the oscillation shown in the fifth image, what is the amplitude of the oscillation?

Accepted Answer

2 cm

Question 8

At $$t = 3 s in $$the fifth image, the object is at:

Accepted Answer

At the equilibrium

Question 9

A 6.0-m string is fixed at both ends and tightened until the wave speed is 80 m/s. What is the distance between two consecutive antinodes of the standing wave?

Accepted Answer

1 m

Question 10

A 6.0-m string is fixed at both ends and tightened until the wave speed is 80 m/s. What is the frequency $$f of $$the standing wave shown in the figure?

Accepted Answer

20 Hz

Question 11

Which of the following wavelengths could NOT be present as a standing wave in a 2 m long organ pipe open at both ends?

Accepted Answer

0.89 m

Question 12

If a guitar string has a fundamental frequency of 500 Hz, which one of the following frequencies can be found in a standing wave?

Accepted Answer

1500 Hz

Question 13

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? (Use $$G = 6.67 	imes 10$$^{-11}$$ 	ext{N} \cdot 	ext{m}^2/	ext{kg}^2)$$

Accepted Answer

$$5.8 	imes 10$$^{-8}$$ 	ext{N}$$

Question 14

A planet's moon Zygo is $$4.0 	imes 10^5$ m in diameter. Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20$$ 	ext{ m/s}^2$$. What is the mass of Zygo? (Use G = 6.67$$ 	imes $$10^{-11}$$ 	ext{N} \cdot 	ext{m}^2/	ext{kg}^2$$)

Accepted Answer

$$1.2 	imes 10$$^{20}$$ 	ext{ kg}$$

Question 15

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the spring constant of the spring?

Accepted Answer

$$24.1 	ext{ N/m}$$

Question 16

A trapeze artist swings in simple harmonic motion with a period of 3.8 s. Calculate the length of the cables supporting the trapeze.

Accepted Answer

3.6 m

Question 17

The sound intensity at a distance of 10 m from a sound source is measured to be $$0.30 	ext{ W/m}^2. $$What is the sound intensity at a distance of 28 m from the source?

Accepted Answer

$$0.038 	ext{ W/m}^2$$

Question 18

A violin string that is 60.0 cm long has a fundamental frequency of 220 Hz. What is the speed of the wave on this string?

Accepted Answer

264 m/s

Question 19

What are the frequencies of the first three harmonics in a 2.45 m long pipe that is open at one end and closed at the other end? Assume that the speed of sound in air is 345 m/s.

Accepted Answer

35.2 Hz, 106 Hz, 176 Hz

Wave Properties and Oscillations: Analyzing Amplitude and Frequency

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