Question 1

The water pressure to an apartment is increased by the water company. The water enters the apartment through an entrance valve at the front of the apartment. Where will the increase in the
Static water pressure be greatest when no water is flowing in the system?
A) at a faucet close to the entrance valve
B) at a faucet far from the entrance valve
C) It will be the same at all faucets.
D) There will be no increase in the pressure at the faucets.

Accepted Answer

Static water pressure in a closed system is uniform throughout, so the increase in pressure from the water company will be the same at all faucets regardless of their distance from the entrance valve.

Question 2

A 0.588-m string is tightly clamped at both ends. If the lowest standing wave frequency of the string is 326 Hz, how fast do waves travel on this string?
A) 383 m/s
B) 475 m/s
C) 724 m/s
D) 582 m/s

Accepted Answer

The fundamental frequency (lowest standing wave frequency) of a string clamped at both ends is given by f = v / (2L), where v is the wave speed and L is the length of the string. Solving for v gives v = 2Lf. Substituting L = 0.588 m and f = 326 Hz, we get v = 2 * 0.588 m * 326 Hz = 383 m/s.

Question 3

A boat loaded with rocks is floating in a swimming pool. If the rocks are thrown into the pool, the water level in the pool, after the rocks have settled to the bottom,
A) stays the same.
B) falls.
C) rises.

Accepted Answer

When the rocks are in the boat, they displace a volume of water equal to their weight. After being thrown into the pool, they displace only their own volume, which is less than the volume of water they displaced when in the boat (assuming the rocks are denser than water). Therefore, the water level falls.

Question 4

A 1.1-kg uniform bar of metal is 0.40 m long and has a diameter of 2.0 cm. When someone bangs one end of this bar, a 1.5 MHz shock wave is travels along the length of the bar and reaches the
Other end in 0.12 ms. What is the wavelength of the shock wave in the metal?
A) 2.6 mm
B) 2.2 mm
C) 3.4 mm
D) 3.0 mm
E) 3.8 mm

Accepted Answer

The speed of the shock wave is calculated by dividing the length of the bar (0.40 m) by the time it takes to travel (0.12 ms = 0.00012 s), giving a speed of 3333.33 m/s. The wavelength is then found by dividing the speed by the frequency (1.5 MHz = 1,500,000 Hz), resulting in a wavelength of approximately 2.2 mm.

Question 5

A crane lifts a 2500-kg beam at a steady rate of 15 cm/s using a steel cable whose mass per unit length is 0.65 kg/m. What is the speed of transverse waves on this cable?
A) 190 m/s
B) 580 m/s
C) 1900 m/s
D) 230 m/s
E) 1200 m/s

Accepted Answer

The speed of transverse waves on a string or cable is given by $v = \sqrt{\frac{T}{\mu}}$, where $T$ is the tension in the cable and $\mu$ is the mass per unit length. The tension $T$ is equal to the weight of the beam, which is $mg = 2500 \times 9.8 = 24500 \, \text{N}$. The mass per unit length $\mu = 0.65 \, \text{kg/m}$. Substituting these values into the formula gives $v = \sqrt{\frac{24500}{0.65}} \approx 190 \, \text{m/s}$.

Question 6

Two steel wires are stretched with the same tension. The first wire has a diameter of 0.610 mm and the second wire has a diameter of 0.910 mm. If the speed of waves traveling along the first wire is
54)0 m/s, what is the speed of waves traveling along the second wire?
A) 36.2 m/s
B) 27.2 m/s
C) 100 m/s
D) 24.9 m/s
E) 81.0 m/s

Accepted Answer

The speed of waves in a stretched string or wire is given by the formula $v = \sqrt{\frac{T}{\mu}}$, where $v$ is the speed of the wave, $T$ is the tension in the wire, and $\mu$ is the linear mass density of the wire. The linear mass density is inversely proportional to the cross-sectional area of the wire, which in turn is proportional to the square of the diameter of the wire. Therefore, if the diameter of the second wire is $\frac{0.910}{0.610}$ times the diameter of the first wire, the speed of waves in the second wire will be $\sqrt{\frac{0.610^2}{0.910^2}}$ times the speed in the first wire. Given that the speed in the first wire is 54.0 m/s, the speed in the second wire will be $54.0 \times \sqrt{\frac{0.610^2}{0.910^2}} = 36.2$ m/s.

Question 7

A 2.31-kg rope is stretched between supports that are 10.4 m apart, and has a tension in it of 49.2 N. If one end of the rope is slightly tweaked, how long will it take for the resulting disturbance to
Reach the other end?
A) 0.664 s
B) 0.699 s
C) 0.615 s
D) 0.720 s

Accepted Answer

The answer of A 2.31-kg rope is stretched between supports...

Question 8

An earthquake generates three kinds of waves: surface waves (L-waves), which are the slowest and weakest, shear (S) waves, which are transverse waves and carry most of the energy, and
Pressure (P) waves, which are longitudinal waves and are the fastest. The speed of P waves is
Approximately 7 km/s, and that of S waves is about 4 km/s. People do not generally feel the P
Waves, but animals seem to be sensitive to them. If a person reports that her dog started barking 20
Seconds "before the earthquake," then approximately how far was the origin of the earthquake?
A) 500 km
B) 100 km
C) 300 km
D) 200 km
E) 400 km

Accepted Answer

The difference in arrival times of P and S waves is used to estimate the distance. The P waves travel at 7 km/s and S waves at 4 km/s. The difference in speed is 3 km/s. If the dog barked 20 seconds before the S waves were felt, the distance is 20 seconds * 3 km/s = 60 km. However, this is the difference in distance traveled by the two waves. To find the total distance, we use the formula: Distance = Speed of P wave * Time of P wave. Since the time difference is 20 seconds, the total time for P waves is 20 seconds + time for S waves to reach. Solving gives approximately 200 km.

Question 9

Salt water has greater density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?
A) in salt water
B) in fresh water
C) The buoyant force is the same in both cases.

Accepted Answer

The buoyant force on the boat is determined by the weight of the water displaced by the boat, not by the water's density. Since the boat displaces the same volume of water in both cases, the buoyant force remains the same in both fresh water and salt water.

Question 10

A waiter fills your water glass with ice water (containing many ice cubes) such that the liquid water is perfectly level with the rim of the glass. As the ice melts,
A) the liquid-water level decreases.
B) the liquid-water level remains flush with the rim of the glass.
C) the liquid water level rises, causing water to run down the outside of the glass.

Accepted Answer

The liquid-water level remains flush with the rim of the glass because the volume of water displaced by the ice is equal to the volume of water the ice produces when it melts, according to the principle of buoyancy.

Question 11

Salt water is denser than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water is
A) the same.
B) more.
C) less.
D) Cannot be determined because we do not know the volume of the ship.

Accepted Answer

The ship will displace less volume of salt water compared to fresh water because salt water is denser. For the ship to float, it needs to displace an amount of water equal to its weight. Since salt water is denser, a smaller volume of it will have the same weight as a larger volume of fresh water.

Question 12

A wire that is 1.0 m long with a mass of 90 g is under a tension of 710 N. When a transverse wave travels on the wire, its wavelength is 0.10 m and its amplitude is 6.5 mm. What is the frequency of
This wave?
A) 1000 Hz
B) 1200 Hz
C) 1500 Hz
D) 920 Hz
E) 890 Hz

Accepted Answer

The answer of A wire that is 1.0 m long...

Question 13

A wooden block contains some nails so that its density is exactly equal to that of water. If it is placed in a tank of water and released from rest when it is completely submerged, it will
A) sink to the bottom.
B) rise to the surface.
C) remain where it is released.

Accepted Answer

Since the density of the block is equal to that of water, it will remain neutrally buoyant and stay where it is released.

Question 14

A 90-gram wire that is 1.0 m long is under tension. When a transverse wave of frequency 890 Hz travels down the wire, its wavelength is 0.10 m and its amplitude is 6.5 mm. What is the tension in
The wire?
A) 1100 N
B) 1000 N
C) 820 N
D) 710 N
E) 930 N

Accepted Answer

The answer of A 90-gram wire that is 1.0 m...

Question 15

An air bubble underwater has the same pressure as that of the surrounding water. As the air bubble rises toward the surface (and its temperature remains constant), the volume of the air
Bubble
A) increases.
B) remains constant.
C) increases or decreases, depending on the rate it rises.
D) decreases.

Accepted Answer

According to Boyle's Law, for a given mass of gas at constant temperature, the volume of the gas is inversely proportional to its pressure. As the air bubble rises toward the surface, the water pressure decreases, so the volume of the air bubble increases.

Question 16

A 15-m rope is pulled taut with a tension of 140 N. It takes 0.545 s for a wave to propagate along the rope. What is the mass of the rope?
A) 2.1 kg
B) 2.8 kg
C) 1.7 kg
D) 3.2 kg
E) 5.1 kg

Accepted Answer

The answer of A 15-m rope is pulled taut with...

Question 17

A 10-gram wire that is 6.0 m long is under tension. When a transverse wave of frequency 280 Hz travels along the wire, its wavelength is 0.60 m,and its amplitude is 8.4 mm. How much time does
It take for a crest of the transverse wave to travel the length of the wire?
A) 49 ms
B) 36 ms
C) 40 ms
D) 44 ms
E) 31 ms

Accepted Answer

The time it takes for a crest to travel the length of the wire can be found by dividing the length of the wire by the speed of the wave. The speed of the wave (v) can be calculated using the formula v = fλ, where f is the frequency and λ is the wavelength. Here, f = 280 Hz and λ = 0.60 m, so v = 280 * 0.60 = 168 m/s. The time (t) to travel the length of the wire (L = 6.0 m) is t = L/v = 6.0 / 168 = 0.0357 s, which is approximately 36 ms.

Question 18

A piano wire of linear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speed in this wire?
A) 1040 m/s
B) 520 m/s
C) 130 m/s
D) 260 m/s

Accepted Answer

The answer of A piano wire of linear mass density...

Question 19

A crane lifts a 2500-kg beam using a steel cable whose mass per unit length is 0.650 kg/m. What is the speed of transverse waves on this cable if the upward acceleration of the beam is a steady 3.00 
A) 222 m/s
B) 1880 m/s
C) 578 m/s
D) 1220 m/s
E) 194 m/s

Accepted Answer

The answer of A crane lifts a 2500-kg beam using...

Question 20

Consider a brick that is totally immersed in water, with the long edge of the brick vertical. The pressure on the brick is
A) greatest on the sides of the brick.
B) greatest on the bottom of the brick.
C) the same on all surfaces of the brick.
D) greatest on the top of the brick.
E) greatest on the face with largest area.

Accepted Answer

The pressure in a fluid increases with depth due to the weight of the fluid above. Therefore, the pressure is greatest on the bottom of the brick, which is at the greatest depth.

Quiz 2: Describing Motion: Kinematics in One Dimension

The water pressure to an apartment is increased by the water company. The water enters the apartment through an entrance valve at the front of the apartment. Where will the increase in the Static water pressure be greatest when no water is flowing in the system?

A 0.588-m string is tightly clamped at both ends. If the lowest standing wave frequency of the string is 326 Hz, how fast do waves travel on this string?

A boat loaded with rocks is floating in a swimming pool. If the rocks are thrown into the pool, the water level in the pool, after the rocks have settled to the bottom,

A 1.1-kg uniform bar of metal is 0.40 m long and has a diameter of 2.0 cm. When someone bangs one end of this bar, a 1.5 MHz shock wave is travels along the length of the bar and reaches the Other end in 0.12 ms. What is the wavelength of the shock wave in the metal?

A crane lifts a 2500-kg beam at a steady rate of 15 cm/s using a steel cable whose mass per unit length is 0.65 kg/m. What is the speed of transverse waves on this cable?

Two steel wires are stretched with the same tension. The first wire has a diameter of 0.610 mm and the second wire has a diameter of 0.910 mm. If the speed of waves traveling along the first wire is 54) 0 m/s, what is the speed of waves traveling along the second wire?

A 2.31-kg rope is stretched between supports that are 10.4 m apart, and has a tension in it of 49.2 N. If one end of the rope is slightly tweaked, how long will it take for the resulting disturbance to Reach the other end?

Salt water has greater density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?

A waiter fills your water glass with ice water (containing many ice cubes) such that the liquid water is perfectly level with the rim of the glass. As the ice melts,

Salt water is denser than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water is

A wire that is 1.0 m long with a mass of 90 g is under a tension of 710 N. When a transverse wave travels on the wire, its wavelength is 0.10 m and its amplitude is 6.5 mm. What is the frequency of This wave?

A wooden block contains some nails so that its density is exactly equal to that of water. If it is placed in a tank of water and released from rest when it is completely submerged, it will

A 90-gram wire that is 1.0 m long is under tension. When a transverse wave of frequency 890 Hz travels down the wire, its wavelength is 0.10 m and its amplitude is 6.5 mm. What is the tension in The wire?

An air bubble underwater has the same pressure as that of the surrounding water. As the air bubble rises toward the surface (and its temperature remains constant) , the volume of the air Bubble

A 15-m rope is pulled taut with a tension of 140 N. It takes 0.545 s for a wave to propagate along the rope. What is the mass of the rope?

A 10-gram wire that is 6.0 m long is under tension. When a transverse wave of frequency 280 Hz travels along the wire, its wavelength is 0.60 m,and its amplitude is 8.4 mm. How much time does It take for a crest of the transverse wave to travel the length of the wire?

A piano wire of linear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speed in this wire?

A crane lifts a 2500-kg beam using a steel cable whose mass per unit length is 0.650 kg/m. What is the speed of transverse waves on this cable if the upward acceleration of the beam is a steady 3.00

Consider a brick that is totally immersed in water, with the long edge of the brick vertical. The pressure on the brick is