Question 1

If the resultant vector of the sum of three vectors is zero, the three vectors must have the following property.

Accepted Answer

A)  The sum of each component of the three vectors is zero. 
B)  The sum of any two vectors is the negative of the third vector. 
C)  All three vectors lie in the same plane. 
D)  The magnitude of the sum of any two vectors is equal to the magnitude of the third vector. 
E)  All the above are correct.  
A)  The sum of each component of the three vectors is zero. 
B)  The sum of any two vectors is the negative of the third vector. 
C)  All three vectors lie in the same plane. 
D)  The magnitude of the sum of any two vectors is equal to the magnitude of the third vector. 
E)  All the above are correct.  E

Question 2

Compute:

Accepted Answer

A)  1 $\times$ 1017  
B)  6 $\times$ 107  
C)  8 $\times$ 1017  
D)  4 $\times$ 107  
E)  None of these is correct. 
A)  1 $\times$ 1017  
B)  6 $\times$ 107  
C)  8 $\times$ 1017  
D)  4 $\times$ 107  
E)  None of these is correct. D

Question 3

The components of a vector

Accepted Answer

A)  are not unique. 
B)  depend on the axes chosen. 
C)  can have one of the components equal to zero. 
D)  can be negative. 
E)  All of the above. 
A)  are not unique. 
B)  depend on the axes chosen. 
C)  can have one of the components equal to zero. 
D)  can be negative. 
E)  All of the above. E

Question 4

The prefix "pico" means

Accepted Answer

A)  10-12  
B)  10-6  
C)  10-3  
D)  106  
E)  109  
A)  10-12  
B)  10-6  
C)  10-3  
D)  106  
E)  109

Question 5

The density of an object equals its mass divided by its volume. The mass of Earth is 6 $\times$ 1024 kg and its radius is 4 $\times$ 103 miles. The mass of the Sun is 2 $\times$0 1033 g and its radius is 7 $\times$ 105 km. Calculate the Earth's density divided by that of the Sun.

Accepted Answer

A)  4 $\times$ 10-1  
B)  4 $\times$ 10-2  
C)  4 $\times$ 100  
D)  4 $\times$ 101  
E)  none of the above 
A)  4 $\times$ 10-1  
B)  4 $\times$ 10-2  
C)  4 $\times$ 100  
D)  4 $\times$ 101  
E)  none of the above

Question 6

The components of a vector are Ax = -10 units and Ay = 6 units. What angle does this vector make with the positive x axis?

Accepted Answer

A)  31º 
B)  -31º 
C)  180º - 31º 
D)  180º + 31º 
E)  90º - 31º 
A)  31º 
B)  -31º 
C)  180º - 31º 
D)  180º + 31º 
E)  90º - 31º

Question 7

If Earth is approximately 4.5 billion years old, estimate the order of magnitude for the number of times it has rotated about its own axis. (Assume a constant rate of rotation.)

Accepted Answer

A)  109  
B)  1010  
C)  1011  
D)  1012  
E)  1014  
A)  109  
B)  1010  
C)  1011  
D)  1012  
E)  1014

Question 8

If x and t represent position and time, respectively, the A in x = A cos Bt must

Accepted Answer

A)  have the dimensions L/T. 
B)  have the dimensions 1/T. 
C)  have the dimensions L. 
D)  have the dimensions L2/T 2. 
E)  be dimensionless. 
A)  have the dimensions L/T. 
B)  have the dimensions 1/T. 
C)  have the dimensions L. 
D)  have the dimensions L2/T 2. 
E)  be dimensionless.

Question 9

What is the order of magnitude of Earth's tallest mountain heights?

Accepted Answer

A)  108 m 
B)  104 m 
C)  106 m 
D)  103 m 
E)  105 m 
A)  108 m 
B)  104 m 
C)  106 m 
D)  103 m 
E)  105 m

Question 10

Vectors   and   have the following components:
 
The angle between the positive x axis and the vector   -   is

Accepted Answer

A)  -45º 
B)  194º 
C)  37º 
D)  -54º 
E)  86º 
A)  -45º 
B)  194º 
C)  37º 
D)  -54º 
E)  86º

Question 11

When we look up in the sky the Sun appears about as big as the moon; however, we know that the Sun is much further away. Given that the radius of the Sun is about 7 $\times$ 108 m and that the radius of the moon is about 2 $\times$ 106 m, calculate approximately the number of times the moon could fit inside the Sun.

Accepted Answer

A)  4 $\times$ 102  
B)  4 $\times$ 106  
C)  4 $\times$ 107  
D)  1 $\times$ 105  
E)  2 $\times$ 105  
A)  4 $\times$ 102  
B)  4 $\times$ 106  
C)  4 $\times$ 107  
D)  1 $\times$ 105  
E)  2 $\times$ 105

Question 12

To convert a quantity from km/(hr · s) to m/s2, you must

Accepted Answer

A)  multiply by 1000 and divide by 60. 
B)  multiply by 60 and divide by 3600. 
C)  multiply by 60 and divide by 1000. 
D)  multiply by 3600 and divide by 1000. 
E)  None of these is correct. 
A)  multiply by 1000 and divide by 60. 
B)  multiply by 60 and divide by 3600. 
C)  multiply by 60 and divide by 1000. 
D)  multiply by 3600 and divide by 1000. 
E)  None of these is correct.

Question 13

If K has dimensions ML2/T 2, the k in K = kmv 2 must

Accepted Answer

A)  have the dimensions ML/T 2. 
B)  have the dimensions M. 
C)  have the dimensions L/T 2. 
D)  have the dimensions L2/T 2. 
E)  be dimensionless. 
A)  have the dimensions ML/T 2. 
B)  have the dimensions M. 
C)  have the dimensions L/T 2. 
D)  have the dimensions L2/T 2. 
E)  be dimensionless.

Question 14

Given vector $$ \vec{A} \quad \text{ }   $$  , the vector 3 $$ \vec{A} \quad \text{ }   $$

Accepted Answer

A)  has a magnitude 3 times that of $$ \vec{A} \quad \text{ }   $$  . 
B)  points in the same direction as $$ \vec{A} \quad \text{ }   $$  . 
C)  has components each of which is 3 times those of $$ \vec{A} \quad \text{ }   $$  . 
D)  makes the same angle with a given axis as does $$ \vec{A} \quad \text{ }   $$  . 
E)  is described by all of these. 
A)  has a magnitude 3 times that of $$ \vec{A} \quad \text{ }   $$  . 
B)  points in the same direction as $$ \vec{A} \quad \text{ }   $$  . 
C)  has components each of which is 3 times those of $$ \vec{A} \quad \text{ }   $$  . 
D)  makes the same angle with a given axis as does $$ \vec{A} \quad \text{ }   $$  . 
E)  is described by all of these.

Question 15

The prefix "centi" means

Accepted Answer

A)  10-12  
B)  10-6  
C)  10-3  
D)  10-2  
E)  10-1  
A)  10-12  
B)  10-6  
C)  10-3  
D)  10-2  
E)  10-1

Question 16

An impurity in a manufacturing process will cause a batch to be rejected if the impurity exceeds one part per million. What is the maximum amount of impurity that could be present if the batch contains 100 kg of the product?

Accepted Answer

A)  100 micrograms 
B)  100 nanograms 
C)  100 grams 
D)  100 megagrams 
E)  100 milligrams 
A)  100 micrograms 
B)  100 nanograms 
C)  100 grams 
D)  100 megagrams 
E)  100 milligrams

Question 17

The dimensions of mass density are

Accepted Answer

A)  MLT -1  
B)  ML3  
C)  ML2  
D)  ML-1  
E)  None of these is correct. 
A)  MLT -1  
B)  ML3  
C)  ML2  
D)  ML-1  
E)  None of these is correct.

Question 18

If v and t represent velocity and time, respectively, C2 in v = C1e-C2t  must

Accepted Answer

A)  have the dimensions L/T. 
B)  have the dimensions 1/T. 
C)  have the dimensions L/T 2. 
D)  have the dimensions L2/T 2. 
E)  be dimensionless. 
A)  have the dimensions L/T. 
B)  have the dimensions 1/T. 
C)  have the dimensions L/T 2. 
D)  have the dimensions L2/T 2. 
E)  be dimensionless.

Question 19

What angle does the vector    make with the positive x axis?

Accepted Answer

A)  67.4º 
B)  22.6º 
C)  36.9º 
D)  53.1º 
E)  24.6º 
A)  67.4º 
B)  22.6º 
C)  36.9º 
D)  53.1º 
E)  24.6º

Question 20

The fundamental physical quantities are

Accepted Answer

A)  mass, length, time, temperature, amount of a substance, current, and luminous intensity. 
B)  weight, length, time, temperature, amount of a substance, current, and luminous intensity. 
C)  mass, length, time, temperature, force, current, and luminous intensity. 
D)  mass, length, time, force, momentum, amount of a substance, and current. 
E)  weight, length, time, temperature, amount of a substance, potential energy, and luminous intensity. 
A)  mass, length, time, temperature, amount of a substance, current, and luminous intensity. 
B)  weight, length, time, temperature, amount of a substance, current, and luminous intensity. 
C)  mass, length, time, temperature, force, current, and luminous intensity. 
D)  mass, length, time, force, momentum, amount of a substance, and current. 
E)  weight, length, time, temperature, amount of a substance, potential energy, and luminous intensity.

If the resultant vector of the sum of three vectors is zero, the three vectors must have the following property.

Compute:

The components of a vector

The prefix "pico" means

The density of an object equals its mass divided by its volume. The mass of Earth is 6 $\times$ 10²⁴ kg and its radius is 4 $\times$ 10³ miles. The mass of the Sun is 2 $\times$ 0 10³³ g and its radius is 7 $\times$ 10⁵ km. Calculate the Earth's density divided by that of the Sun.

The components of a vector are A_x = -10 units and A_y = 6 units. What angle does this vector make with the positive x axis?

If Earth is approximately 4.5 billion years old, estimate the order of magnitude for the number of times it has rotated about its own axis. (Assume a constant rate of rotation.)

If x and t represent position and time, respectively, the A in x = A cos Bt must

What is the order of magnitude of Earth's tallest mountain heights?

Vectors and have the following components: The angle between the positive x axis and the vector - is

To convert a quantity from km/(hr · s) to m/s², you must

If K has dimensions ML²/T ², the k in K = kmv ² must

Given vector $\vec{A} \quad \text{ }$ , the vector 3 $\vec{A} \quad \text{ }$

The prefix "centi" means

An impurity in a manufacturing process will cause a batch to be rejected if the impurity exceeds one part per million. What is the maximum amount of impurity that could be present if the batch contains 100 kg of the product?

The dimensions of mass density are

If v and t represent velocity and time, respectively, C₂ in v = C₁e^-C2^t must

What angle does the vector make with the positive x axis?

The fundamental physical quantities are

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

Exam 1: Systems of Measurement

If the resultant vector of the sum of three vectors is zero, the three vectors must have the following property.

Compute:

The components of a vector

The prefix "pico" means

The density of an object equals its mass divided by its volume. The mass of Earth is 6 ×\times× 1024 kg and its radius is 4 ×\times× 103 miles. The mass of the Sun is 2 ×\times× 0 1033 g and its radius is 7 ×\times× 105 km. Calculate the Earth's density divided by that of the Sun.

The components of a vector are Ax = -10 units and Ay = 6 units. What angle does this vector make with the positive x axis?

If Earth is approximately 4.5 billion years old, estimate the order of magnitude for the number of times it has rotated about its own axis. (Assume a constant rate of rotation.)

If x and t represent position and time, respectively, the A in x = A cos Bt must

What is the order of magnitude of Earth's tallest mountain heights?

Vectors and have the following components: The angle between the positive x axis and the vector - is

To convert a quantity from km/(hr · s) to m/s2, you must

If K has dimensions ML2/T 2, the k in K = kmv 2 must

Given vector A⃗ \vec{A} \quad \text{ } A , the vector 3 A⃗ \vec{A} \quad \text{ } A

The prefix "centi" means

An impurity in a manufacturing process will cause a batch to be rejected if the impurity exceeds one part per million. What is the maximum amount of impurity that could be present if the batch contains 100 kg of the product?

The dimensions of mass density are

If v and t represent velocity and time, respectively, C2 in v = C1e-C2t must

What angle does the vector make with the positive x axis?

The fundamental physical quantities are

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

The density of an object equals its mass divided by its volume. The mass of Earth is 6 $\times$ 10²⁴ kg and its radius is 4 $\times$ 10³ miles. The mass of the Sun is 2 $\times$ 0 10³³ g and its radius is 7 $\times$ 10⁵ km. Calculate the Earth's density divided by that of the Sun.

The components of a vector are A_x = -10 units and A_y = 6 units. What angle does this vector make with the positive x axis?

To convert a quantity from km/(hr · s) to m/s², you must

If K has dimensions ML²/T ², the k in K = kmv ² must

Given vector $\vec{A} \quad \text{ }$ , the vector 3 $\vec{A} \quad \text{ }$

If v and t represent velocity and time, respectively, C₂ in v = C₁e^-C2^t must