Question 1

The density of an object is defined as:

Accepted Answer

A) the volume occupied by each unit of mass. 
B) the amount of mass for each unit of volume. 
C) the weight of each unit of volume. 
D) the amount of the substance that has unit volume and unit mass. 
E) the amount of the substance that contains as many particles as 12 grams of the carbon-12 isotope. 
A) the volume occupied by each unit of mass. 
B) the amount of mass for each unit of volume. 
C) the weight of each unit of volume. 
D) the amount of the substance that has unit volume and unit mass. 
E) the amount of the substance that contains as many particles as 12 grams of the carbon-12 isotope.

Question 2

Given the statement that $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = - \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { C } }$ ,what can we conclude?

Accepted Answer

A)  $\overrightarrow { \mathrm { C } } = \overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } } = \overrightarrow { \mathrm { A } }$ . 
B)  $$2 \overrightarrow { \mathbf { A } } = \overrightarrow { \mathbf { B } } + \overrightarrow { \mathbf { C } }$$ 
C)  $\overrightarrow { \mathrm { C } } = - \overrightarrow { \mathrm { B } }$ and $- \overrightarrow { \mathbf { A } } = \overrightarrow { \mathbf { A } }$ . 
D) Any one of the answers above is correct. 
E) Only (a)and (b)may be correct. 
A)  $\overrightarrow { \mathrm { C } } = \overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } } = \overrightarrow { \mathrm { A } }$ . 
B)  $$2 \overrightarrow { \mathbf { A } } = \overrightarrow { \mathbf { B } } + \overrightarrow { \mathbf { C } }$$ 
C)  $\overrightarrow { \mathrm { C } } = - \overrightarrow { \mathrm { B } }$ and $- \overrightarrow { \mathbf { A } } = \overrightarrow { \mathbf { A } }$ . 
D) Any one of the answers above is correct. 
E) Only (a)and (b)may be correct.

Question 3

One mole of the carbon-12 isotope contains 6.022 * 1023 atoms.What volume in m3 would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side?

Accepted Answer

A) 4.8 * 1018 
B) 1.2 *1022 
C) 6.0 * 1023 
D) 1.2 *1024 
E) 4.8 *1024 
A) 4.8 * 1018 
B) 1.2 *1022 
C) 6.0 * 1023 
D) 1.2 *1024 
E) 4.8 *1024

Question 4

The diagram below shows 3 vectors which sum to zero,all of equal length.Which statement below is true?

Accepted Answer

A)  $\overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } = \overrightarrow { \mathrm { A } } - \overrightarrow { \mathrm { C } }$ 
B)  $\overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } } = \overrightarrow { \mathrm { B } } - \overrightarrow { \mathrm { C } }$ 
C)  $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = 2 \overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { C } }$ 
D)  $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = 2 \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { C } }$ 
E)  $2 \overrightarrow { \mathbf { A } } + 2 \overrightarrow { \mathbf { B } } = 2 \overrightarrow { \mathbf { C } }$ 
A)  $\overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } = \overrightarrow { \mathrm { A } } - \overrightarrow { \mathrm { C } }$ 
B)  $\overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } } = \overrightarrow { \mathrm { B } } - \overrightarrow { \mathrm { C } }$ 
C)  $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = 2 \overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { C } }$ 
D)  $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = 2 \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { C } }$ 
E)  $2 \overrightarrow { \mathbf { A } } + 2 \overrightarrow { \mathbf { B } } = 2 \overrightarrow { \mathbf { C } }$

Question 5

A vector, $\vec { B }$ ,when added to the vector $\overrightarrow { \mathbf { C } } = 3 \hat { \mathbf { i } } + 4 \hat { \mathbf { j } }$ yields a resultant vector which is in the positive y direction and has a magnitude equal to that of $\overrightarrow { \mathrm { C } }$ .What is the magnitude of $\vec { B }$ ?

Accepted Answer

A) 3.2 
B) 6.3 
C) 9.5 
D) 18 
E) 5 
A) 3.2 
B) 6.3 
C) 9.5 
D) 18 
E) 5

Question 6

The basic function of a carburetor of an automobile is to atomize the gasoline and mix it with air to promote rapid combustion.As an example,assume that 30 cm3 of gasoline is atomized into N spherical droplets,each with a radius of 2.0 *10 - 5 m.What is the total surface area of these N spherical droplets?

Accepted Answer

45 000 cm<

Question 7

Which statement is true about the unit vectors î, ĵ and k̂ ?

Accepted Answer

A) Their directions are defined by a left-handed coordinate system. 
B) The angle between any two is 90 degrees. 
C) Each has a length of 1 m. 
D) If î is directed east and ĵ is directed south, k̂ points up out of the surface. 
E) All of the above. 
A) Their directions are defined by a left-handed coordinate system. 
B) The angle between any two is 90 degrees. 
C) Each has a length of 1 m. 
D) If î is directed east and ĵ is directed south, k̂ points up out of the surface. 
E) All of the above.

Question 8

Spike claims that dimensional analysis shows that the correct expression for change in velocity, $\vec { v } _ { f } - \vec { v } _ { i }$ ,is $\vec { v } _ { f } - \vec { v } _ { i } = \frac { m t } { F }$ ,where m is mass,t is time,and F is the magnitude of force.Carla says that can't be true because the dimensions of force are $\left[ \frac { \mathrm { ML } } { \mathrm { T } ^ { 2 } } \right]$ .Which one,if either,is correct?

Accepted Answer

A) Spike,because $[ \vec { v } ] = \left[ \frac { M L } { T } \right]$ . 
B) Spike,because $[ \vec { v } ] = \left[ \frac { T ^ { 2 } } { L } \right]$ . 
C) Carla,because $[ \vec { v } ] = \left[ \frac { L } { T } \right]$ . 
D) Carla,because $[ \overrightarrow { \mathrm { v } } ] = \left[ \frac { \mathrm { L } } { \mathrm { MT } } \right]$ . 
E) Spike,because the dimensions of force are $[ \overrightarrow { \mathrm { F } } ] = \left[ \frac { \mathrm { T } ^ { 2 } } { \mathrm { ML } } \right]$ . 
A) Spike,because $[ \vec { v } ] = \left[ \frac { M L } { T } \right]$ . 
B) Spike,because $[ \vec { v } ] = \left[ \frac { T ^ { 2 } } { L } \right]$ . 
C) Carla,because $[ \vec { v } ] = \left[ \frac { L } { T } \right]$ . 
D) Carla,because $[ \overrightarrow { \mathrm { v } } ] = \left[ \frac { \mathrm { L } } { \mathrm { MT } } \right]$ . 
E) Spike,because the dimensions of force are $[ \overrightarrow { \mathrm { F } } ] = \left[ \frac { \mathrm { T } ^ { 2 } } { \mathrm { ML } } \right]$ .

Question 9

Given two non-zero vectors, $\overrightarrow { \mathbf { A } }$ and $\vec { B }$ ,such that $| \overrightarrow { \mathrm { A } } | = A = B = | \overrightarrow { \mathrm { B } } |$ ,the sum $\overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } }$ satisfies

Accepted Answer

A)  $0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 2 A$ . 
B)  $$0 < | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | < 2 A$$ . 
C)  $A \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 2 A$ . 
D)  $A < | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | < 2 A$ . 
E)  $0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 4 A$ . 
A)  $0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 2 A$ . 
B)  $$0 < | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | < 2 A$$ . 
C)  $A \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 2 A$ . 
D)  $A < | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | < 2 A$ . 
E)  $0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 4 A$ .

Question 10

One number has three significant figures and another number has four significant figures.If these numbers are added,subtracted,multiplied,or divided,which operation can produce the greatest number of significant figures?

Accepted Answer

A) the addition 
B) the subtraction 
C) the multiplication 
D) the division 
E) All the operations result in the same number of significant figures. 
A) the addition 
B) the subtraction 
C) the multiplication 
D) the division 
E) All the operations result in the same number of significant figures.

Question 11

If $\overrightarrow { \mathbf { A } } = 12 \hat { \mathbf { i } } - 16 \hat { \mathbf { j } }$ and $\overrightarrow { \mathbf { B } } = - 24 \hat { \mathbf { i } } + 10 \hat { \mathbf { j } }$ ,what is the magnitude of the vector $\overrightarrow { \mathrm { C } } = 2 \overrightarrow { \mathrm { A } } - \overrightarrow { \mathrm { B } }$ ?

Accepted Answer

A) 42 
B) 22 
C) 64 
D) 90 
E) 13 
A) 42 
B) 22 
C) 64 
D) 90 
E) 13

Question 12

Exhibit 3-4
 
The diagram below shows the path taken by a sailboat tacking sideways because it cannot sail directly into the wind.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 3-4.The total displacement of the sailboat,the vector sum of its displacements OB,BC,CD and DE,is

Accepted Answer

A) 1 732 m,East. 
B) 2 000 m,Northeast. 
C) 6 298 m,East. 
D) 8 000 m,Southeast. 
E) 8 000 m,East. 
A) 1 732 m,East. 
B) 2 000 m,Northeast. 
C) 6 298 m,East. 
D) 8 000 m,Southeast. 
E) 8 000 m,East.

Question 13

One U.S.fluid gallon contains a volume of 231 cubic inches.How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1L = 10+3 cm3. )

Accepted Answer

A) 53 
B) 21 
C) 14 
D) 8.0 
E) 4.0 
A) 53 
B) 21 
C) 14 
D) 8.0 
E) 4.0

Question 14

In what quadrant are both the sine and tangent negative?

Accepted Answer

A) 1st 
B) 2nd 
C) 3rd 
D) 4th 
E) This cannot happen. 
A) 1st 
B) 2nd 
C) 3rd 
D) 4th 
E) This cannot happen.

Question 15

Exhibit 3-4
 
The diagram below shows the path taken by a sailboat tacking sideways because it cannot sail directly into the wind.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 3-4.The total distance it travels is

Accepted Answer

A) 1 000 m. 
B) 1 732 m. 
C) 2 000 m. 
D) 6 298 m. 
E) 8 000 m. 
A) 1 000 m. 
B) 1 732 m. 
C) 2 000 m. 
D) 6 298 m. 
E) 8 000 m.

Question 16

Starting from one oasis,a camel walks 25 km in a direction 30$\degree$ south of west and then walks 30 km toward the north to a second oasis.What is the direction from the first oasis to the second oasis?

Accepted Answer

A) 21$\degree$ N of W 
B) 39$\degree$W of N 
C) 69$\degree$N of W 
D) 51$\degree$ W of N 
E) 42$\degree$ W of N 
A) 21$\degree$ N of W 
B) 39$\degree$W of N 
C) 69$\degree$N of W 
D) 51$\degree$ W of N 
E) 42$\degree$ W of N

Question 17

When three vectors, $\overrightarrow { \mathrm { A } }$ , $\vec { B }$ ,and $\overrightarrow { \mathrm { C } }$ are placed head to tail,the vector sum $\overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } + \overrightarrow { \mathbf { C } } = 0$ .If the vectors all have the same magnitude,the angle between the directions of any two adjacent vectors is

Accepted Answer

A) 30$\degree$ 
B) 60$\degree$ 
C) 90$\degree$ 
D) 120$\degree$ 
E) 150$\degree$ 
A) 30$\degree$ 
B) 60$\degree$ 
C) 90$\degree$ 
D) 120$\degree$ 
E) 150$\degree$

Question 18

A 2.00 m by 3.00 m plate of aluminum has a mass of 324 kg.What is the thickness of the plate? (The density of aluminum is 2.70 * 103 kg/m3. )

Accepted Answer

The answer of A 2.00 m by 3.00 m plate...

Question 19

If each frame of a motion picture film is 35 cm high,and 24 frames go by in a second,estimate how many frames are needed to show a two hour long movie.

Accepted Answer

A) 1 400 
B) 25 000 
C) 50 000 
D) 170 000 
E) This cannot be determined without knowing how many reels were used. 
A) 1 400 
B) 25 000 
C) 50 000 
D) 170 000 
E) This cannot be determined without knowing how many reels were used.

Question 20

Exhibit 3-1
 
The three forces shown act on a particle.  Use this exhibit to answer the following question(s)..
-Refer to Exhibit 3-1.What is the magnitude of the resultant of these three forces?

Accepted Answer

A) 27.0 N 
B) 33.2 N 
C) 36.3 N 
D) 23.8 N 
E) 105 N 
A) 27.0 N 
B) 33.2 N 
C) 36.3 N 
D) 23.8 N 
E) 105 N

Exam 1: Introduction and Vectors

The density of an object is defined as:

Given the statement that A→−B→=−A→+C→\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = - \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { C } }A−B=−A+C ,what can we conclude?

One mole of the carbon-12 isotope contains 6.022 * 1023 atoms.What volume in m3 would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side?

The diagram below shows 3 vectors which sum to zero,all of equal length.Which statement below is true?

Which statement is true about the unit vectors î, ĵ and k̂ ?

One number has three significant figures and another number has four significant figures.If these numbers are added,subtracted,multiplied,or divided,which operation can produce the greatest number of significant figures?

Exhibit 3-4 The diagram below shows the path taken by a sailboat tacking sideways because it cannot sail directly into the wind. Use this exhibit to answer the following question(s). -Refer to Exhibit 3-4.The total displacement of the sailboat,the vector sum of its displacements OB,BC,CD and DE,is

One U.S.fluid gallon contains a volume of 231 cubic inches.How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1L = 10+3 cm3. )

In what quadrant are both the sine and tangent negative?

Exhibit 3-4 The diagram below shows the path taken by a sailboat tacking sideways because it cannot sail directly into the wind. Use this exhibit to answer the following question(s). -Refer to Exhibit 3-4.The total distance it travels is

Starting from one oasis,a camel walks 25 km in a direction 30 °\degree° south of west and then walks 30 km toward the north to a second oasis.What is the direction from the first oasis to the second oasis?

A 2.00 m by 3.00 m plate of aluminum has a mass of 324 kg.What is the thickness of the plate? (The density of aluminum is 2.70 * 103 kg/m3. )

If each frame of a motion picture film is 35 cm high,and 24 frames go by in a second,estimate how many frames are needed to show a two hour long movie.

Exhibit 3-1 The three forces shown act on a particle. Use this exhibit to answer the following question(s).. -Refer to Exhibit 3-1.What is the magnitude of the resultant of these three forces?

Motion in One Dimension

Motion in Two Dimensions

The Laws of Motion

More Applications of Newtons Laws

Energy of a System

Conservation of Energy

Momentum and Collisions

Relativity

Rotational Motion

Gravity,planetary Orbits,and the Hydrogen Atom

Oscillatory Motion

Mechanical Waves

Superposition and Standing Waves

Fluid Mechanics

Temperature and the Kinetic Theory of Gases

Energy in Thermal Processes: the First Law of Thermodynamics

Heat Engines,entropy,and the Second Law of Thermodynamics

Electric Forces and Electric Fields

Electric Potential and Capacitance

Current and Direct Current Circuits

Magnetic Forces and Magnetic Fields

Faradays Law and Inductance

Electromagnetic Waves

Reflection and Refraction of Light

Image Formation by Mirrors and Lenses

Wave Optics

Quantum Physics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

Given the statement that $\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = - \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { C } }$ ,what can we conclude?

One mole of the carbon-12 isotope contains 6.022 * 10²³ atoms.What volume in m³ would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side?

One U.S.fluid gallon contains a volume of 231 cubic inches.How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1L = 10⁺³ cm³. )

Starting from one oasis,a camel walks 25 km in a direction 30 $\degree$ south of west and then walks 30 km toward the north to a second oasis.What is the direction from the first oasis to the second oasis?

A 2.00 m by 3.00 m plate of aluminum has a mass of 324 kg.What is the thickness of the plate? (The density of aluminum is 2.70 * 10³ kg/m³. )