# User:Guy vandegrift/Quizbank/Archive1/Sample calc2 T4

### pc1:T4:V1[edit]

1) If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- a)
*v(t) = 5cos(4t-π/6)* - b)
*v(t) = 20cos(4t-π/6)* - c)
*v(t) = -20cos(4t-π/6)* - d)
*v(t) = 20sin(4t-π/6)* - e)
*v(t) = -20sin(4t-π/6)*

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- a) 3.6 x 10
^{3}J - b) 1.14 x 10
^{4}J - c) 3.6 x 10
^{4}J - d) 1.14 x 10
^{5}J - e) 3.6 x 10
^{5}J

3) What is the root-mean-square of 11, 36, and 4?

- a) 1.948 x 10
^{1} - b) 2.186 x 10
^{1} - c) 2.452 x 10
^{1} - d) 2.751 x 10
^{1} - e) 3.087 x 10
^{1}

4) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- a)
*v(t) = -21sin(3t-π/6)* - b)
*v(t) = 21sin(3t-π/6)* - c)
*v(t) = 7cos(3t-π/6)* - d)
*v(t) = -21cos(3t-π/6)* - e)
*v(t) = 21cos(3t-π/6)*

5) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 6.00E4
- b) 7.27E4
- c) 8.81E4
- d) 1.07E5
- e) 1.29E5

6) A spring with spring constant 2.9 kN/m is attached to a 6.7 gram mass. The maximum acelleration is 3.8 m/s^{2}. What is the maximum displacement?

- a) 8.78 x 10
^{-8}m - b) 2.78 x 10
^{-7}m - c) 8.78 x 10
^{-7}m - d) 2.78 x 10
^{-6}m - e) 8.78 x 10
^{-6}m

7) Why don't we hear beats when two different notes on a piano are played at the same time?

- a) Reverberation usually stifles the beats
- b) Echo usually stifles the beats
- c) The note is over by the time the first beat is heard
- d) The beats happen so many times per second you can't hear them.

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.56 x 10
^{3}J - b) 8.1 x 10
^{3}J - c) 2.56 x 10
^{4}J - d) 8.1 x 10
^{4}J - e) 2.56 x 10
^{5}J

9) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 3.10E1 mm
- b) 3.76E1 mm
- c) 4.55E1 mm
- d) 5.51E1 mm
- e) 6.68E1 mm

10) A spring with spring constant 1.1 kN/m undergoes simple harmonic motion with a frequency of 8.4 kHz. The maximum force is 3.8 N. What is the total energy?

- a) 6.56 x 10
^{-4}J - b) 2.08 x 10
^{-3}J - c) 6.56 x 10
^{-3}J - d) 2.08 x 10
^{-2}J - e) 6.56 x 10
^{-2}J

11) While standing 0.83 km from a cliff, you measure the echo time to be 4.832 seconds. What is the temperature?

- a) 1.57 x 10
^{1}Celsius - b) 1.81 x 10
^{1}Celsius - c) 2.09 x 10
^{1}Celsius - d) 2.42 x 10
^{1}Celsius - e) 2.79 x 10
^{1}Celsius

12) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- a) 3.4 x 10
^{-1} - b) 4.1 x 10
^{-1} - c) 4.8 x 10
^{-1} - d) 5.6 x 10
^{-1} - e) 6.6 x 10
^{-1}

13) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- a) 8.8 x 10
^{1}m/s - b) 1.07 x 10
^{2}m/s - c) 1.29 x 10
^{2}m/s - d) 1.56 x 10
^{2}m/s - e) 1.9 x 10
^{2}m/s

14) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- a)
*a(t) = +21sin(3t-π/6)* - b)
*a(t) = -21sin(3t-π/6)* - c)
*a(t) = -63sin(3t-π/6)* - d)
*a(t) = +63sin(3t-π/6)* - e)
*a(t) = -21cos(3t-π/6)*

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 1.5 x 10
^{0}unit - b) 1.81 x 10
^{0}unit - c) 2.2 x 10
^{0}unit - d) 2.66 x 10
^{0}unit - e) 3.23 x 10
^{0}unit

#### KEY:pc1:T4:V1[edit]

pc120161220T142002

1) If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- -a)
*v(t) = 5cos(4t-π/6)* - +b)
*v(t) = 20cos(4t-π/6)* - -c)
*v(t) = -20cos(4t-π/6)* - -d)
*v(t) = 20sin(4t-π/6)* - -e)
*v(t) = -20sin(4t-π/6)*

_{1}= 1.7 kPa, P

_{2}= 3.1 kPa. The volumes are V

_{1}= 2.8m

^{3}and V

_{4}= 4.3m

^{3}. How much work is involved between 2 and 4?

- +a) 3.6 x 10
^{3}J - -b) 1.14 x 10
^{4}J - -c) 3.6 x 10
^{4}J - -d) 1.14 x 10
^{5}J - -e) 3.6 x 10
^{5}J

3) What is the root-mean-square of 11, 36, and 4?

- -a) 1.948 x 10
^{1} - +b) 2.186 x 10
^{1} - -c) 2.452 x 10
^{1} - -d) 2.751 x 10
^{1} - -e) 3.087 x 10
^{1}

4) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- -a)
*v(t) = -21sin(3t-π/6)* - -b)
*v(t) = 21sin(3t-π/6)* - -c)
*v(t) = 7cos(3t-π/6)* - -d)
*v(t) = -21cos(3t-π/6)* - +e)
*v(t) = 21cos(3t-π/6)*

5) A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- +a) 6.00E4
- -b) 7.27E4
- -c) 8.81E4
- -d) 1.07E5
- -e) 1.29E5

6) A spring with spring constant 2.9 kN/m is attached to a 6.7 gram mass. The maximum acelleration is 3.8 m/s^{2}. What is the maximum displacement?

- -a) 8.78 x 10
^{-8}m - -b) 2.78 x 10
^{-7}m - -c) 8.78 x 10
^{-7}m - -d) 2.78 x 10
^{-6}m - +e) 8.78 x 10
^{-6}m

7) Why don't we hear beats when two different notes on a piano are played at the same time?

- -a) Reverberation usually stifles the beats
- -b) Echo usually stifles the beats
- -c) The note is over by the time the first beat is heard
- +d) The beats happen so many times per second you can't hear them.

_{1}= 1.6 kPa, P

_{2}= 4.3 kPa. The volumes are V

_{1}= 1.6m

^{3}and V

_{4}= 3.2m

^{3}. How much work is involved between 1 and 4?

- +a) 2.56 x 10
^{3}J - -b) 8.1 x 10
^{3}J - -c) 2.56 x 10
^{4}J - -d) 8.1 x 10
^{4}J - -e) 2.56 x 10
^{5}J

9) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 3.10E1 mm
- -b) 3.76E1 mm
- -c) 4.55E1 mm
- +d) 5.51E1 mm
- -e) 6.68E1 mm

10) A spring with spring constant 1.1 kN/m undergoes simple harmonic motion with a frequency of 8.4 kHz. The maximum force is 3.8 N. What is the total energy?

- -a) 6.56 x 10
^{-4}J - -b) 2.08 x 10
^{-3}J - +c) 6.56 x 10
^{-3}J - -d) 2.08 x 10
^{-2}J - -e) 6.56 x 10
^{-2}J

11) While standing 0.83 km from a cliff, you measure the echo time to be 4.832 seconds. What is the temperature?

- -a) 1.57 x 10
^{1}Celsius - -b) 1.81 x 10
^{1}Celsius - +c) 2.09 x 10
^{1}Celsius - -d) 2.42 x 10
^{1}Celsius - -e) 2.79 x 10
^{1}Celsius

12) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

- -a) 3.4 x 10
^{-1} - -b) 4.1 x 10
^{-1} - -c) 4.8 x 10
^{-1} - +d) 5.6 x 10
^{-1} - -e) 6.6 x 10
^{-1}

13) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

- -a) 8.8 x 10
^{1}m/s - -b) 1.07 x 10
^{2}m/s - -c) 1.29 x 10
^{2}m/s - -d) 1.56 x 10
^{2}m/s - +e) 1.9 x 10
^{2}m/s

14) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- -a)
*a(t) = +21sin(3t-π/6)* - -b)
*a(t) = -21sin(3t-π/6)* - +c)
*a(t) = -63sin(3t-π/6)* - -d)
*a(t) = +63sin(3t-π/6)* - -e)
*a(t) = -21cos(3t-π/6)*

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- -a) 1.5 x 10
^{0}unit - -b) 1.81 x 10
^{0}unit - -c) 2.2 x 10
^{0}unit - -d) 2.66 x 10
^{0}unit - +e) 3.23 x 10
^{0}unit

### pc1:T4:V2[edit]

1) Why don't we hear beats when two different notes on a piano are played at the same time?

- a) The beats happen so many times per second you can't hear them.
- b) Reverberation usually stifles the beats
- c) The note is over by the time the first beat is heard
- d) Echo usually stifles the beats

2) A spring with spring constant 2.5 kN/m is attached to a 7.7 gram mass. The maximum acelleration is 1.2 m/s^{2}. What is the maximum displacement?

- a) 3.7 x 10
^{-8}m - b) 1.17 x 10
^{-7}m - c) 3.7 x 10
^{-7}m - d) 1.17 x 10
^{-6}m - e) 3.7 x 10
^{-6}m

3) If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- a)
*v(t) = -20cos(4t-π/6)* - b)
*v(t) = -20sin(4t-π/6)* - c)
*v(t) = 5cos(4t-π/6)* - d)
*v(t) = 20sin(4t-π/6)* - e)
*v(t) = 20cos(4t-π/6)*

4) While standing 0.76 km from a cliff, you measure the echo time to be 4.339 seconds. What is the temperature?

- a) 2.83 x 10
^{1}Celsius - b) 3.26 x 10
^{1}Celsius - c) 3.77 x 10
^{1}Celsius - d) 4.35 x 10
^{1}Celsius - e) 5.03 x 10
^{1}Celsius

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- a) 2.31 x 10
^{2}J - b) 7.3 x 10
^{2}J - c) 2.31 x 10
^{3}J - d) 7.3 x 10
^{3}J - e) 2.31 x 10
^{4}J

6) What is the root-mean-square of 11, 36, and 4?

- a) 1.948 x 10
^{1} - b) 2.186 x 10
^{1} - c) 2.452 x 10
^{1} - d) 2.751 x 10
^{1} - e) 3.087 x 10
^{1}

7) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- a)
*a(t) = -63sin(3t-π/6)* - b)
*a(t) = -21sin(3t-π/6)* - c)
*a(t) = +63sin(3t-π/6)* - d)
*a(t) = +21sin(3t-π/6)* - e)
*a(t) = -21cos(3t-π/6)*

8) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- a)
*v(t) = 21sin(3t-π/6)* - b)
*v(t) = 21cos(3t-π/6)* - c)
*v(t) = -21sin(3t-π/6)* - d)
*v(t) = 7cos(3t-π/6)* - e)
*v(t) = -21cos(3t-π/6)*

9) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 37.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- a) 9.34E2 mm
- b) 1.13E3 mm
- c) 1.37E3 mm
- d) 1.66E3 mm
- e) 2.01E3 mm

10) A spring with spring constant 2.8 kN/m undergoes simple harmonic motion with a frequency of 8.5 kHz. The maximum force is 8.2 N. What is the total energy?

- a) 1.2 x 10
^{-2}J - b) 3.8 x 10
^{-2}J - c) 1.2 x 10
^{-1}J - d) 3.8 x 10
^{-1}J - e) 1.2 x 10
^{0}J

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

^{3}. How much work is involved between 2 and 4?

- a) 1.44 x 10
^{2}J - b) 4.56 x 10
^{2}J - c) 1.44 x 10
^{3}J - d) 4.56 x 10
^{3}J - e) 1.44 x 10
^{4}J

12) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- a) 3.04E3
- b) 3.68E3
- c) 4.46E3
- d) 5.40E3
- e) 6.55E3

13) If a molecule with atomic mass equal to 8 amu has a speed of 475 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- a) 1.73 x 10
^{2}m/s - b) 2.1 x 10
^{2}m/s - c) 2.54 x 10
^{2}m/s - d) 3.08 x 10
^{2}m/s - e) 3.73 x 10
^{2}m/s

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. What fraction of the heat went into the aluminum?

- a) 3.3 x 10
^{-1} - b) 3.8 x 10
^{-1} - c) 4.5 x 10
^{-1} - d) 5.3 x 10
^{-1} - e) 6.3 x 10
^{-1}

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- a) 5.05 x 10
^{0}unit - b) 6.11 x 10
^{0}unit - c) 7.41 x 10
^{0}unit - d) 8.97 x 10
^{0}unit - e) 1.09 x 10
^{1}unit

#### KEY:pc1:T4:V2[edit]

pc120161220T142002

1) Why don't we hear beats when two different notes on a piano are played at the same time?

- +a) The beats happen so many times per second you can't hear them.
- -b) Reverberation usually stifles the beats
- -c) The note is over by the time the first beat is heard
- -d) Echo usually stifles the beats

2) A spring with spring constant 2.5 kN/m is attached to a 7.7 gram mass. The maximum acelleration is 1.2 m/s^{2}. What is the maximum displacement?

- -a) 3.7 x 10
^{-8}m - -b) 1.17 x 10
^{-7}m - -c) 3.7 x 10
^{-7}m - -d) 1.17 x 10
^{-6}m - +e) 3.7 x 10
^{-6}m

3) If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- -a)
*v(t) = -20cos(4t-π/6)* - -b)
*v(t) = -20sin(4t-π/6)* - -c)
*v(t) = 5cos(4t-π/6)* - -d)
*v(t) = 20sin(4t-π/6)* - +e)
*v(t) = 20cos(4t-π/6)*

4) While standing 0.76 km from a cliff, you measure the echo time to be 4.339 seconds. What is the temperature?

- -a) 2.83 x 10
^{1}Celsius - +b) 3.26 x 10
^{1}Celsius - -c) 3.77 x 10
^{1}Celsius - -d) 4.35 x 10
^{1}Celsius - -e) 5.03 x 10
^{1}Celsius

_{1}= 2.1 kPa, P

_{2}= 3.2 kPa. The volumes are V

_{1}= 1.1m

^{3}and V

_{4}= 2.2m

^{3}. How much work is involved between 1 and 4?

- -a) 2.31 x 10
^{2}J - -b) 7.3 x 10
^{2}J - +c) 2.31 x 10
^{3}J - -d) 7.3 x 10
^{3}J - -e) 2.31 x 10
^{4}J

6) What is the root-mean-square of 11, 36, and 4?

- -a) 1.948 x 10
^{1} - +b) 2.186 x 10
^{1} - -c) 2.452 x 10
^{1} - -d) 2.751 x 10
^{1} - -e) 3.087 x 10
^{1}

7) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- +a)
*a(t) = -63sin(3t-π/6)* - -b)
*a(t) = -21sin(3t-π/6)* - -c)
*a(t) = +63sin(3t-π/6)* - -d)
*a(t) = +21sin(3t-π/6)* - -e)
*a(t) = -21cos(3t-π/6)*

8) If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- -a)
*v(t) = 21sin(3t-π/6)* - +b)
*v(t) = 21cos(3t-π/6)* - -c)
*v(t) = -21sin(3t-π/6)* - -d)
*v(t) = 7cos(3t-π/6)* - -e)
*v(t) = -21cos(3t-π/6)*

9) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 37.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

- -a) 9.34E2 mm
- +b) 1.13E3 mm
- -c) 1.37E3 mm
- -d) 1.66E3 mm
- -e) 2.01E3 mm

10) A spring with spring constant 2.8 kN/m undergoes simple harmonic motion with a frequency of 8.5 kHz. The maximum force is 8.2 N. What is the total energy?

- +a) 1.2 x 10
^{-2}J - -b) 3.8 x 10
^{-2}J - -c) 1.2 x 10
^{-1}J - -d) 3.8 x 10
^{-1}J - -e) 1.2 x 10
^{0}J

_{1}= 2.3 kPa, P

_{2}= 5.3 kPa. The volumes are V

_{1}= 1.8m

^{3}and V

_{4}= 3m

^{3}. How much work is involved between 2 and 4?

- -a) 1.44 x 10
^{2}J - -b) 4.56 x 10
^{2}J - -c) 1.44 x 10
^{3}J - +d) 4.56 x 10
^{3}J - -e) 1.44 x 10
^{4}J

12) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

- -a) 3.04E3
- -b) 3.68E3
- -c) 4.46E3
- +d) 5.40E3
- -e) 6.55E3

13) If a molecule with atomic mass equal to 8 amu has a speed of 475 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

- -a) 1.73 x 10
^{2}m/s - -b) 2.1 x 10
^{2}m/s - +c) 2.54 x 10
^{2}m/s - -d) 3.08 x 10
^{2}m/s - -e) 3.73 x 10
^{2}m/s

14) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. What fraction of the heat went into the aluminum?

- -a) 3.3 x 10
^{-1} - +b) 3.8 x 10
^{-1} - -c) 4.5 x 10
^{-1} - -d) 5.3 x 10
^{-1} - -e) 6.3 x 10
^{-1}

15) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 14 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.45. You also increase the thickness of the glass by a factor of 2.4. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

- +a) 5.05 x 10
^{0}unit - -b) 6.11 x 10
^{0}unit - -c) 7.41 x 10
^{0}unit - -d) 8.97 x 10
^{0}unit - -e) 1.09 x 10
^{1}unit