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

## Contents

### pc1:FE:V1

pc120161220T142002

1) Integrate the function, ${\displaystyle {\vec {F}}=-x^{2}y^{4}{\hat {x}}+x^{4}y^{5}{\hat {y}}}$, 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 100 km
b) 6.35 x 100 km
c) 7.7 x 100 km
d) 9.32 x 100 km
e) 1.13 x 101 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/s2.
b) 8.3 m/s2.
c) 9.5 m/s2.
d) 11 m/s2.
e) 12.6 m/s2.

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/s2?

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/s2 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/s2
b) 11.8 m/s2
c) 13.6 m/s2
d) 15.6 m/s2
e) 18 m/s2

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 100 J
b) 6.25 x 100 J
c) 7.58 x 100 J
d) 9.18 x 100 J
e) 1.11 x 101 J
12) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?
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)
15)
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 4.1 kPa. The volumes are V1= 2.1m3 and V4= 4.3m3. How much work is done in in one cycle?
a) 7.3 x 102 J
b) 2.31 x 103 J
c) 7.3 x 103 J
d) 2.31 x 104 J
e) 7.3 x 104 J

#### KEY:pc1:FE:V1

pc120161220T142002

1) Integrate the function, ${\displaystyle {\vec {F}}=-x^{2}y^{4}{\hat {x}}+x^{4}y^{5}{\hat {y}}}$, 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 100 km
+b) 6.35 x 100 km
-c) 7.7 x 100 km
-d) 9.32 x 100 km
-e) 1.13 x 101 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/s2.
-b) 8.3 m/s2.
-c) 9.5 m/s2.
+d) 11 m/s2.
-e) 12.6 m/s2.

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/s2?

-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/s2 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/s2
-b) 11.8 m/s2
-c) 13.6 m/s2
-d) 15.6 m/s2
-e) 18 m/s2

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 100 J
-b) 6.25 x 100 J
-c) 7.58 x 100 J
-d) 9.18 x 100 J
+e) 1.11 x 101 J
12) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?
- 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)
15)
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 4.1 kPa. The volumes are V1= 2.1m3 and V4= 4.3m3. How much work is done in in one cycle?
-a) 7.3 x 102 J
+b) 2.31 x 103 J
-c) 7.3 x 103 J
-d) 2.31 x 104 J
-e) 7.3 x 104 J

### pc1:FE:V2

pc120161220T142002
1)
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 4.1 kPa. The volumes are V1= 2.1m3 and V4= 4.3m3. How much work is done in in one cycle?
a) 7.3 x 102 J
b) 2.31 x 103 J
c) 7.3 x 103 J
d) 2.31 x 104 J
e) 7.3 x 104 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/s2.
b) 10.5 m/s2.
c) 12.1 m/s2.
d) 13.9 m/s2.
e) 16 m/s2.

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/s2?

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/s2 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 101 J
b) 4.6 x 101 J
c) 5.57 x 101 J
d) 6.75 x 101 J
e) 8.17 x 101 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 100 km
b) 6.35 x 100 km
c) 7.7 x 100 km
d) 9.32 x 100 km
e) 1.13 x 101 km

13) Integrate the function, ${\displaystyle {\vec {F}}=-x^{3}y^{4}{\hat {x}}+x^{4}y^{4}{\hat {y}}}$, 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
14) The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
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/s2
b) 4.7 m/s2
c) 5.4 m/s2
d) 6.2 m/s2
e) 7.2 m/s2

#### KEY:pc1:FE:V2

pc120161220T142002

1)
A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P1= 2 kPa, P2= 4.1 kPa. The volumes are V1= 2.1m3 and V4= 4.3m3. How much work is done in in one cycle?
-a) 7.3 x 102 J
+b) 2.31 x 103 J
-c) 7.3 x 103 J
-d) 2.31 x 104 J
-e) 7.3 x 104 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/s2.
-b) 10.5 m/s2.
-c) 12.1 m/s2.
-d) 13.9 m/s2.
-e) 16 m/s2.

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/s2?

-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/s2 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 101 J
+b) 4.6 x 101 J
-c) 5.57 x 101 J
-d) 6.75 x 101 J
-e) 8.17 x 101 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 100 km
+b) 6.35 x 100 km
-c) 7.7 x 100 km
-d) 9.32 x 100 km
-e) 1.13 x 101 km

13) Integrate the function, ${\displaystyle {\vec {F}}=-x^{3}y^{4}{\hat {x}}+x^{4}y^{4}{\hat {y}}}$, 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
14) The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- 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/s2
-b) 4.7 m/s2
-c) 5.4 m/s2
-d) 6.2 m/s2
+e) 7.2 m/s2