Question 1

The measurement 23.0040 has _____ significant figures.

Accepted Answer

A) six 
B) three 
C) five 
D) four 
E) two 
A) six 
B) three 
C) five 
D) four 
E) two A

Question 2

A vector of magnitude 5 points in the +y direction.Another vector of magnitude 4 is added to the first vector.The largest possible magnitude of the sum is

Accepted Answer

A) 1  
B) 4 
C) 5 
D) 9 
E) 10  
A) 1  
B) 4 
C) 5 
D) 9 
E) 10  D

Question 3

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  C

Question 4

The dimensions of two quantities MUST be identical if you are either __________ or __________ the quantities.

Accepted Answer

A) adding; multiplying 
B) subtracting; dividing 
C) multiplying; dividing 
D) adding; subtracting 
E) All of these are correct. 
A) adding; multiplying 
B) subtracting; dividing 
C) multiplying; dividing 
D) adding; subtracting 
E) All of these are correct.

Question 5

The SI unit for mass is

Accepted Answer

A) $\mu$g 
B) mg 
C) g 
D) kg 
E) lb 
A) $\mu$g 
B) mg 
C) g 
D) kg 
E) lb

Question 6

The components of four vectors are as follows:   The angle that the resultant vector makes with the positive x axis is

Accepted Answer

A) -40º 
B) 59º 
C) -49.5º 
D) 37º 
E) -23º 
A) -40º 
B) 59º 
C) -49.5º 
D) 37º 
E) -23º

Question 7

Vectors   ,   ,   ,and   have the following components:   The magnitude of the resultant is

Accepted Answer

A) - 4.6 units 
B) 5.4 units 
C) 29 units 
D) 3.5 units 
E) 7.3 units 
A) - 4.6 units 
B) 5.4 units 
C) 29 units 
D) 3.5 units 
E) 7.3 units

Question 8

In Newton's Law of Gravity the universal gravitational constant G = Fr2/m1m2,where F is the gravitational force between the two masses,m1 and m2,and r is the distance between them.What are the dimensions of G?

Accepted Answer

A) L2M-1T 2  
B) L3M-1T -2  
C) L2M-2T -2  
D) L3M-1T 2  
E) L-3M1T 3  
A) L2M-1T 2  
B) L3M-1T -2  
C) L2M-2T -2  
D) L3M-1T 2  
E) L-3M1T 3

Question 9

A person inhales about 1 L of air per breathe.Estimate the number of air molecules inhaled.

Accepted Answer

A) 1010 
B) 1014 
C) 1018 
D) 1022 
E) 1026 
A) 1010 
B) 1014 
C) 1018 
D) 1022 
E) 1026

Question 10

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 11

To convert a quantity from m/s to km/h,you must

Accepted Answer

A) multiply by 1000 and divide by 60. 
B) multiply by 1000 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 1000 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 12

To convert a quantity from g/cm3 to kg/m3,you must

Accepted Answer

A) multiply by 0.01. 
B) multiply by 100. 
C) multiply by 1000. 
D) multiply by 0.001. 
E) multiply by 1,000,000. 
A) multiply by 0.01. 
B) multiply by 100. 
C) multiply by 1000. 
D) multiply by 0.001. 
E) multiply by 1,000,000.

Question 13

Two vector quantities,whose directions can be altered at will,can have a resultant of any magnitude between the limits 0 and 200.The magnitude of each vector quantity must therefore be

Accepted Answer

A) between 0 and 80. 
B) between 120 and 200. 
C) less than 100. 
D) exactly 100. 
E) more than 100. 
A) between 0 and 80. 
B) between 120 and 200. 
C) less than 100. 
D) exactly 100. 
E) more than 100.

Question 14

A vector A is shown below.The x and y components of the vector are,respectively,

Accepted Answer

A) (A sin $\alpha$,A cos $\alpha$)or (A sin $\theta$,A cos $\theta$) 
B) (A sin $\alpha$,A cos $\alpha$)or (A cos $\theta$,A sin $\theta$) 
C) (A sin $\alpha$,A sin $\alpha$)or (A sin $\theta$,A cos $\theta$) 
D) (A cos $\alpha$,A cos $\alpha$)or (A sin $\theta$,A cos $\theta$) 
E) (A cos $\alpha$,A cos $\alpha$)or (A cos $\theta$,A cos $\theta$) 
A) (A sin $\alpha$,A cos $\alpha$)or (A sin $\theta$,A cos $\theta$) 
B) (A sin $\alpha$,A cos $\alpha$)or (A cos $\theta$,A sin $\theta$) 
C) (A sin $\alpha$,A sin $\alpha$)or (A sin $\theta$,A cos $\theta$) 
D) (A cos $\alpha$,A cos $\alpha$)or (A sin $\theta$,A cos $\theta$) 
E) (A cos $\alpha$,A cos $\alpha$)or (A cos $\theta$,A cos $\theta$)

Question 15

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.

Question 16

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 17

What is the least number of non-zero vectors that can be added to give a resultant equal to zero?

Accepted Answer

A) 2 
B) 3 
C) 4 
D) 5 
E) It cannot be done. 
A) 2 
B) 3 
C) 4 
D) 5 
E) It cannot be done.

Question 18

The longest bridge on Earth is of the order of

Accepted Answer

A) 103  m 
B) 104  m 
C) 105  m 
D) 106  m 
E) 107 m 
A) 103  m 
B) 104  m 
C) 105  m 
D) 106  m 
E) 107 m

Question 19

Compute:

Accepted Answer

A) 3.3 $\times$ 10-6  
B) 5.1 $\times$ 106  
C) 5.1 $\times$ 10-12  
D) 3.3 $\times$ 10-1  
E) None of these is correct. 
A) 3.3 $\times$ 10-6  
B) 5.1 $\times$ 106  
C) 5.1 $\times$ 10-12  
D) 3.3 $\times$ 10-1  
E) None of these is correct.

Question 20

The length of the vector   = 3   - 4   + 5   is approximately

Accepted Answer

A) 5.00 units 
B) 6.40 units 
C) 5.83 units 
D) 7.07 units 
E) 50.0 units 
A) 5.00 units 
B) 6.40 units 
C) 5.83 units 
D) 7.07 units 
E) 50.0 units

Exam 1: Systems of Measurement

The measurement 23.0040 has _____ significant figures.

A vector of magnitude 5 points in the +y direction.Another vector of magnitude 4 is added to the first vector.The largest possible magnitude of the sum is

The dimensions of two quantities MUST be identical if you are either __________ or __________ the quantities.

The SI unit for mass is

The components of four vectors are as follows: The angle that the resultant vector makes with the positive x axis is

Vectors , , ,and have the following components: The magnitude of the resultant is

In Newton's Law of Gravity the universal gravitational constant G = Fr2/m1m2,where F is the gravitational force between the two masses,m1 and m2,and r is the distance between them.What are the dimensions of G?

A person inhales about 1 L of air per breathe.Estimate the number of air molecules inhaled.

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?

To convert a quantity from m/s to km/h,you must

To convert a quantity from g/cm3 to kg/m3,you must

Two vector quantities,whose directions can be altered at will,can have a resultant of any magnitude between the limits 0 and 200.The magnitude of each vector quantity must therefore be

A vector A is shown below.The x and y components of the vector are,respectively,

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

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

What is the least number of non-zero vectors that can be added to give a resultant equal to zero?

The longest bridge on Earth is of the order of

Compute:

The length of the vector = 3 - 4 + 5 is approximately

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

The Electric Field I: Discrete Charge Distributions

The Electric Field Ii: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

The dimensions of two quantities MUST be identical if you are either or the quantities.

In Newton's Law of Gravity the universal gravitational constant G = Fr²/m₁m₂,where F is the gravitational force between the two masses,m₁ and m₂,and r is the distance between them.What are the dimensions of G?

To convert a quantity from g/cm³ to kg/m³,you must

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?