Question 1

When the temperature of a copper penny is increased by 100 C$\degree$ its diameter increases by 0.17%. The area of one of its faces increases by:
A) 0.17%
B) 0.34%
C) 0.51%
D) 0.13%
E) 0.27%

Accepted Answer

The area increase is approximately twice the linear expansion percentage because area is a two-dimensional measure. Therefore, if the diameter increases by 0.17%, the area increases by about 2 * 0.17% = 0.34%.

Question 2

Object A, with heat capacity C_A and initially at temperature T_A, is placed in thermal contact with object B, with heat capacity C_B and initially at temperature T_B. The combination is thermally isolated. If the heat capacities are independent of the temperature and no phase changes occur, the final temperature of both objects is: A) (C_AT_A - C_BT_B)/(C_A + C_B) B) (C_AT_A + C_BT_B)/(C_A + C_B) C) (C_AT_A - C_BT_B)/(C_A - C_B) D) (C_A - C_B) E) (C_A + C_B)

Accepted Answer

The final temperature when two objects are placed in thermal contact in an isolated system is given by the weighted average of their initial temperatures, weighted by their heat capacities. This is because energy is conserved, and the total heat gained by one object must equal the total heat lost by the other.

Question 3

Two notes are an "octave" apart.The ratio of their frequencies is:
A) 8
B) 10
C) 
D) 2
E)

Accepted Answer

D

Question 4

The Doppler shift formula for the frequency detected is Where ƒ ' is the frequency emitted, v is the speed of sound, v_D is the speed of the detector, and v_s is the speed of the source. Suppose the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector. The values that should be substituted into the Doppler shift equation are: A) v_D = 7 m/s and v_s = 5 m/s B) v_D = 10 m/s and v_s = 8 m/s C) v_D = 4 m/s and v_s = 2 m/s D) v_D = 10 m/s and v_s = 2 m/s E) v_D = 4 m/s and v_s = 8 m/s

Accepted Answer

The answer of The Doppler shift formula for the frequency...

Question 5

Here are the equations for the three waves traveling on separate strings. Rank them according to the maxium transverse speed, least to greatest. Wave 1: y(x,t) = (2.0 mm) sin [(4.0 m^-1)x - (3.0 s^-1)t] Wave 2: y(x,t) = (1.0 mm) sin [(8.0 m^-1)x - (4.0 s^-1)t] Wave 3: y(x,t) = (1.0 mm) sin [(4.0 m^-1)x - (8.0 s^-1)t] A) 1, 2, 3 B) 1, 3, 2 C) 2, 1, 3 D) 2, 3, 1 E) 3, 1, 2

Accepted Answer

The answer of Here are the equations for the three...

Question 6

The mathematical forms for the three sinusoidal traveling waves are gives by
Wave 1: y(x,t) = (2 cm) sin (3x - 6t)
Wave 2: y(x,t) = (3 cm) sin (4x - 12t)
Wave 3: y(x,t) = (4 cm) sin (5x - 11t)
Where x is in meters and t is in seconds. Of these waves:
A) wave 1 has the greatest wave speed and the greatest maximum transverse string speed
B) wave 2 has the greatest wave speed and wave 1 has the greatest maxmium transverse string speed
C) wave 3 has the greatest wave speed and the greatest maximum transverse string speed
D) wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed
E) wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed

Accepted Answer

Wave speed is given by ω/k. Wave 2 has the greatest wave speed (12/4 = 3 m/s). Maximum transverse speed is given by Aω. Wave 3 has the greatest maximum transverse string speed (4 cm * 11 rad/s = 44 cm/s).

Question 7

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form Y(x,t) = y_m sin(kx + t + $\alpha$). If the value of is appropriately chosen, the two waves might be: A) B) C) D) E)

Accepted Answer

The given wave equation suggests the superposition of two waves with the same amplitude and frequency but potentially different phases. Choice E correctly represents two waves with the same amplitude and frequency, differing only by a phase shift, which aligns with the principle of superposition and interference.

Question 8

Which of the following represents a standing wave? A) y = (6.0 mm)sin[(3.0 m^-1)x + (2.0 s^-1)t] - (6.0 mm)cos[(3.0 m^-1)x + 2.0] B) y = (6.0 mm)cos[(3.0 m^-1)x - (2.0 s^-1)t] + (6.0 mm)cos[(2.0 s^-1)t + 3.0 m^-1)x] C) y = (6.0 mm)cos[(3.0 m^-1)x - (2.0 s^-1)t] - (6.0 mm)sin[(2.0 s^-1)t - 3.0] D) y = (6.0 mm)sin[(3.0 m^-1)x - (2.0 s^-1)t] - (6.0 mm)cos[(2.0 s^-1)t + 3.0 m^-1)x] E) y = (6.0 mm)sin[(3.0 m^-1)x] + (6.0 mm)cos[(2.0 s^-1)t]

Accepted Answer

The answer of Which of the following represents a standing...

Question 9

If the length of a simple pendulum is doubled, its period will:
A) halve
B) 
C) 
D) double
E) remain the same

Accepted Answer

The answer of If the length of a simple pendulum...

Question 10

Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The masses and radii are
Hoop 1: M = 150g and R = 50 cm
Hoop 2: M = 200g and R = 40 cm
Hoop 3: M = 250g and R = 30 cm
Hoop 4: M = 300g and R = 20 cm
Hoop 5: M = 350g and R = 10 cm
Order the hoops according to the periods of their motions, smallest to largest.
A) 1, 2, 3, 4, 5
B) 5, 4, 3, 2, 1
C) 1, 2, 3, 5, 4
D) 1, 2, 5, 4, 3
E) 5, 4, 1, 2, 3

Accepted Answer

The period of a physical pendulum is influenced by its moment of inertia and mass distribution. For hoops pivoted at the rim, the moment of inertia is $I = MR^2$, and the period $T$ is proportional to $\sqrt{I/M}$, which simplifies to $\sqrt{R^2}$ or just $R$ for a constant gravitational field. Thus, the hoop with the smallest radius will have the smallest period, and the hoop with the largest radius will have the largest period. Therefore, the order from smallest to largest period is from hoop 5 to hoop 1.

Question 11

The density of water is 1.0 g/cm³. The density of the oil in the left column of the U-tube shown below is: A) 0.20 g/cm³ B) 0.80 g/cm³ C) 1.0 g/cm³ D) 1.3 g/cm³ E) 5.0 g/cm³

Accepted Answer

The answer of The density of water is 1.0 g/cm³....

Question 12

An incompressible liquid flows along the pipe as shown. The ratio of the speeds v₂/v₁ is: A) A₁/A₂ B) A₂/A₁ C) D) E) v₁/v₂

Accepted Answer

The answer of An incompressible liquid flows along the pipe...

Question 13

A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 x10³ kg/m³. The diffenernce in pressure in the main line is 2.0 x 10⁵ Pa, then the pressure on the second floor is: A) 7.5 x 10⁴ Pa with the main line at the higher pressure B) 2.65 x10⁴ Pa with the main line at the higher pressure C) 7.5 x 10⁴ Pa with the main line at the lower pressure D) 2.65 x 10⁴ Pa with the main line at the lower pressure E) 9.4 x 10⁴ Pa with the main line at the higher pressure

Accepted Answer

The pressure difference is due to the difference in height between the two points. The pressure is higher at the lower point because there is more water above it pushing down. The difference in pressure is given by:$$P = \rho g h$$where:* P is the pressure difference (Pa)* ρ is the density of water (kg/m^3)* g is the acceleration due to gravity (m/s^2)* h is the height difference (m)In this case, the height difference is 5.0 m - 2.0 m = 3.0 m. The pressure difference is:$$P = (1.0 x 10^3 kg/m^3)(9.8 m/s^2)(3.0 m) = 2.94 x 10^4 Pa$$The pressure on the second floor is therefore:$$P_2 = P_1 + P = 2.0 x 10^5 Pa + 2.94 x 10^4 Pa = 2.29 x 10^5 Pa$$The pressure on the main line is therefore:$$P_1 = P_2 - P = 2.29 x 10^5 Pa - 2.94 x 10^4 Pa = 2.0 x 10^5 Pa$$Therefore, the pressure on the second floor is 7.5 x 10^4 Pa with the main line at the higher pressure.

Quiz 3: Oscillations, Fluids, Waves, Temperature, Heat, and the First Law of Thermodynamics

When the temperature of a copper penny is increased by 100 C $\degree$ its diameter increases by 0.17%. The area of one of its faces increases by:

Two notes are an "octave" apart.The ratio of their frequencies is:

The mathematical forms for the three sinusoidal traveling waves are gives by Wave 1: y(x,t) = (2 cm) sin (3x - 6t) Wave 2: y(x,t) = (3 cm) sin (4x - 12t) Wave 3: y(x,t) = (4 cm) sin (5x - 11t) Where x is in meters and t is in seconds. Of these waves:

Which of the following represents a standing wave?

If the length of a simple pendulum is doubled, its period will:

The density of water is 1.0 g/cm³. The density of the oil in the left column of the U-tube shown below is:

An incompressible liquid flows along the pipe as shown. The ratio of the speeds v₂/v₁ is:

Quiz 3: Oscillations, Fluids, Waves, Temperature, Heat, and the First Law of Thermodynamics

When the temperature of a copper penny is increased by 100 C °\degree° its diameter increases by 0.17%. The area of one of its faces increases by: