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

### pc1:FE:V1[edit]

1) Integrate the function, , as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- a) 4.08E-01
- b) 4.37E-01
- c) 4.67E-01
- d) 5.00E-01
- e) 5.35E-01

2) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 5.24 x 10
^{0}km - b) 6.35 x 10
^{0}km - c) 7.7 x 10
^{0}km - d) 9.32 x 10
^{0}km - e) 1.13 x 10
^{1}km

3) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- a) 7.2 m/s
^{2}. - b) 8.3 m/s
^{2}. - c) 9.5 m/s
^{2}. - d) 11 m/s
^{2}. - e) 12.6 m/s
^{2}.

4) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- a) 1507 kg
- b) 1809 kg
- c) 2170 kg
- d) 2604 kg
- e) 3125 kg

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 speed in the first (wider) pipe?

- a) 8.86E-1 m/s
- b) 1.07E0 m/s
- c) 1.30E0 m/s
- d) 1.57E0 m/s
- e) 1.91E0 m/s

6) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- a) 53.3 degrees
- b) 61.3 degrees
- c) 70.5 degrees
- d) 81.1 degrees
- e) 93.3 degrees

7) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- 3.72E4 Pa
- 4.51E4 Pa
- 5.47E4 Pa
- 6.62E4 Pa
- 8.02E4 Pa

8) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

9) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

10) What is the gravitational acceleration on a plant that is 2.33 times more massive than Earth, and a radius that is 1.49 times greater than Earths?

- a) 10.3 m/s
^{2} - b) 11.8 m/s
^{2} - c) 13.6 m/s
^{2} - d) 15.6 m/s
^{2} - e) 18 m/s
^{2}

11) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 5.16 x 10
^{0}J - b) 6.25 x 10
^{0}J - c) 7.58 x 10
^{0}J - d) 9.18 x 10
^{0}J - e) 1.11 x 10
^{1}J

- a) 0.225 kg
- b) 0.236 kg
- c) 0.248 kg
- d) 0.260 kg
- e) 0.273 kg

13) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- a) zero
- b) east
- c) north
- d) south
- e) west

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

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

_{1}= 2 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.3m

^{3}. How much work is done in in one cycle?

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

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

pc120161220T142002

1) Integrate the function, , as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- - a) 4.08E-01
- - b) 4.37E-01
- - c) 4.67E-01
- + d) 5.00E-01
- - e) 5.35E-01

2) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- -a) 5.24 x 10
^{0}km - +b) 6.35 x 10
^{0}km - -c) 7.7 x 10
^{0}km - -d) 9.32 x 10
^{0}km - -e) 1.13 x 10
^{1}km

3) A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

- -a) 7.2 m/s
^{2}. - -b) 8.3 m/s
^{2}. - -c) 9.5 m/s
^{2}. - +d) 11 m/s
^{2}. - -e) 12.6 m/s
^{2}.

4) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

- -a) 1507 kg
- -b) 1809 kg
- -c) 2170 kg
- +d) 2604 kg
- -e) 3125 kg

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 speed in the first (wider) pipe?

- -a) 8.86E-1 m/s
- -b) 1.07E0 m/s
- +c) 1.30E0 m/s
- -d) 1.57E0 m/s
- -e) 1.91E0 m/s

6) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s^{2}?

- -a) 53.3 degrees
- -b) 61.3 degrees
- +c) 70.5 degrees
- -d) 81.1 degrees
- -e) 93.3 degrees

7) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- + 3.72E4 Pa
- - 4.51E4 Pa
- - 5.47E4 Pa
- - 6.62E4 Pa
- - 8.02E4 Pa

8) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

9) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

10) What is the gravitational acceleration on a plant that is 2.33 times more massive than Earth, and a radius that is 1.49 times greater than Earths?

- +a) 10.3 m/s
^{2} - -b) 11.8 m/s
^{2} - -c) 13.6 m/s
^{2} - -d) 15.6 m/s
^{2} - -e) 18 m/s
^{2}

11) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- -a) 5.16 x 10
^{0}J - -b) 6.25 x 10
^{0}J - -c) 7.58 x 10
^{0}J - -d) 9.18 x 10
^{0}J - +e) 1.11 x 10
^{1}J

- - a) 0.225 kg
- - b) 0.236 kg
- + c) 0.248 kg
- - d) 0.260 kg
- - e) 0.273 kg

13) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- -a) zero
- +b) east
- -c) north
- -d) south
- -e) west

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

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

_{1}= 2 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.3m

^{3}. How much work is done in in one cycle?

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

### pc1:FE:V2[edit]

_{1}= 2 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.3m

^{3}. How much work is done in in one cycle?

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

2) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- a) 9.2 m/s
^{2}. - b) 10.5 m/s
^{2}. - c) 12.1 m/s
^{2}. - d) 13.9 m/s
^{2}. - e) 16 m/s
^{2}.

3) 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) = -20sin(4t-π/6)* - d)
*v(t) = 20cos(4t-π/6)* - e)
*v(t) = 20sin(4t-π/6)*

4) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- 3.23E4 Pa
- 3.92E4 Pa
- 4.75E4 Pa
- 5.75E4 Pa
- 6.97E4 Pa

5) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- a) 53.7 degrees
- b) 61.8 degrees
- c) 71 degrees
- d) 81.7 degrees
- e) 93.9 degrees

6) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- a) 801 kg
- b) 961 kg
- c) 1154 kg
- d) 1385 kg
- e) 1661 kg

7) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

8) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- a) 5.01E-1 m/s
- b) 6.08E-1 m/s
- c) 7.36E-1 m/s
- d) 8.92E-1 m/s
- e) 1.08E0 m/s

9) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- a) east
- b) north
- c) west
- d) zero
- e) south

10) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

11) A lead filled bicycle wheel of radius 0.56 m and mass 2.9 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- a) 3.79 x 10
^{1}J - b) 4.6 x 10
^{1}J - c) 5.57 x 10
^{1}J - d) 6.75 x 10
^{1}J - e) 8.17 x 10
^{1}J

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 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- a) 5.24 x 10
^{0}km - b) 6.35 x 10
^{0}km - c) 7.7 x 10
^{0}km - d) 9.32 x 10
^{0}km - e) 1.13 x 10
^{1}km

13) Integrate the function, , as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- a) 3.43E-01
- b) 3.67E-01
- c) 3.93E-01
- d) 4.21E-01
- e) 4.50E-01

- a) 0.187 kg
- b) 0.196 kg
- c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

15) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

- a) 4.1 m/s
^{2} - b) 4.7 m/s
^{2} - c) 5.4 m/s
^{2} - d) 6.2 m/s
^{2} - e) 7.2 m/s
^{2}

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

pc120161220T142002

_{1}= 2 kPa, P

_{2}= 4.1 kPa. The volumes are V

_{1}= 2.1m

^{3}and V

_{4}= 4.3m

^{3}. How much work is done in in one cycle?

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

2) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

- +a) 9.2 m/s
^{2}. - -b) 10.5 m/s
^{2}. - -c) 12.1 m/s
^{2}. - -d) 13.9 m/s
^{2}. - -e) 16 m/s
^{2}.

3) 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) = -20sin(4t-π/6)* - +d)
*v(t) = 20cos(4t-π/6)* - -e)
*v(t) = 20sin(4t-π/6)*

4) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- + 3.23E4 Pa
- - 3.92E4 Pa
- - 4.75E4 Pa
- - 5.75E4 Pa
- - 6.97E4 Pa

5) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s^{2}?

- -a) 53.7 degrees
- -b) 61.8 degrees
- +c) 71 degrees
- -d) 81.7 degrees
- -e) 93.9 degrees

6) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

- -a) 801 kg
- -b) 961 kg
- +c) 1154 kg
- -d) 1385 kg
- -e) 1661 kg

7) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

8) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

- +a) 5.01E-1 m/s
- -b) 6.08E-1 m/s
- -c) 7.36E-1 m/s
- -d) 8.92E-1 m/s
- -e) 1.08E0 m/s

9) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

- +a) east
- -b) north
- -c) west
- -d) zero
- -e) south

10) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

11) A lead filled bicycle wheel of radius 0.56 m and mass 2.9 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

- -a) 3.79 x 10
^{1}J - +b) 4.6 x 10
^{1}J - -c) 5.57 x 10
^{1}J - -d) 6.75 x 10
^{1}J - -e) 8.17 x 10
^{1}J

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 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

- -a) 5.24 x 10
^{0}km - +b) 6.35 x 10
^{0}km - -c) 7.7 x 10
^{0}km - -d) 9.32 x 10
^{0}km - -e) 1.13 x 10
^{1}km

13) Integrate the function, , as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- - a) 3.43E-01
- - b) 3.67E-01
- - c) 3.93E-01
- - d) 4.21E-01
- + e) 4.50E-01

- - a) 0.187 kg
- - b) 0.196 kg
- + c) 0.206 kg
- - d) 0.217 kg
- - e) 0.227 kg

15) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

- -a) 4.1 m/s
^{2} - -b) 4.7 m/s
^{2} - -c) 5.4 m/s
^{2} - -d) 6.2 m/s
^{2} - +e) 7.2 m/s
^{2}