Question 1

If   = 3   -   + 4   and   = x   +   - 5   ,find x so   will be perpendicular to   .

Accepted Answer

The answer of If   = 3  ...

Question 2

The current definition of the standard kilogram of mass is based on

Accepted Answer

A)  the mass of the earth. 
B)  the mass of the sun. 
C)  the mass a particular object kept in France. 
D)  the mass of a cesium-133 atom. 
A)  the mass of the earth. 
B)  the mass of the sun. 
C)  the mass a particular object kept in France. 
D)  the mass of a cesium-133 atom.

Question 3

The magnitude of a vector can never be less than the magnitude of one of its components.

Accepted Answer

A) True 
 B)False

Question 4

In the figure,the magnitude of vector   is 18.0 units,and the magnitude of vector   is 12.0 units.What vector   must be added to the vectors   and   so that the resultant of these three vectors points in the -x direction and has a magnitude of 7.50 units? Use vector components to find your answer,and express vector   by giving its magnitude and the angle it makes with the +x-axis taking counterclockwise to be positive.

Accepted Answer

The answer of In the figure,the magnitude of vector ...

Question 5

Vector   has a magnitude of 5.5 cm and points along the x-axis.Vector   has a magnitude of 7.5 cm and points at +30° above the negative x-axis.
(a)Determine the x and y components of Vector   .
(b)Determine the x and y components of Vector   (c)Determine x and y components of the sum of these two vectors.
(d)Determine the magnitude and direction of the sum of these two vectors.

Accepted Answer

(a) @#IMG-DLM& = 5.5 cm, @#IMG-DLM& = 0
(b) @#IMG-DLM& = -6.

Question 6

The angle between vector   = 2.00   + 3.00   and vector   is   The scalar product of vectors   and   is 3.00.If the x component of vector   is positive,what is vector   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

An apple falls from an apple tree growing on a 20° slope.The apple hits the ground with an impact velocity of 16.2 m/s straight downward.What is the component of the apple's impact velocity parallel to the surface of the slope?

Accepted Answer

A)  5.5 m/s 
B)  8.7 m/s 
C)  12 m/s 
D)  15 m/s 
A)  5.5 m/s 
B)  8.7 m/s 
C)  12 m/s 
D)  15 m/s

Question 8

If a flower is 6.5 cm wide,its width expressed in millimeters is x mm,where x is

Accepted Answer

A)  less than 6.5. 
B)  greater than 6.5. 
A)  less than 6.5. 
B)  greater than 6.5.

Question 9

Three forces are exerted on an object placed on a tilted floor.Forces are vectors.The three forces are directed as shown in the figure.If the forces have magnitudes   = 1.0 N,   and   = 7.0 N,where N is the standard unit of force,what is the component of the net force   net =   1 +   2 +   3 parallel to the floor?

Accepted Answer

A)  2.5 N 
B)  5.1 N 
C)  6.0 N 
D)  7.8 N 
A)  2.5 N 
B)  5.1 N 
C)  6.0 N 
D)  7.8 N

Question 10

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute)through the filter.Given that 1.00 in.= 2.54 cm,how many cubic meters per second does this fan pull?

Accepted Answer

A)  0.283 m3/sec 
B)  0.328 m3/sec 
C)  3.05 m3/sec 
D)  32.8 m3/sec 
A)  0.283 m3/sec 
B)  0.328 m3/sec 
C)  3.05 m3/sec 
D)  32.8 m3/sec

Question 11

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is,the "rise" is 2% of the "run").What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Accepted Answer

A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s 
A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s

Question 12

Add   and   and express your answer in milligrams (mg).

Accepted Answer

A)  7.05 × 107 mg 
B)  7.05 × 104 mg 
C)  7.05 × 105 mg 
D)  7.05 × 106 mg 
A)  7.05 × 107 mg 
B)  7.05 × 104 mg 
C)  7.05 × 105 mg 
D)  7.05 × 106 mg

Question 13

Vectors   and   are shown in the figure.Vector   is given by   =   -   .The magnitude of vector   is 16.0 units,and the magnitude of vector   is 7.00 units.What is the magnitude of vector   ?

Accepted Answer

A)  9.00 
B)  9.53 
C)  15.5 
D)  16.2 
E)  17.5 
A)  9.00 
B)  9.53 
C)  15.5 
D)  16.2 
E)  17.5

Question 14

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

Accepted Answer

A)  22 
B)  21.9 
C)  21.92 
D)  21.918 
E)  21.9180 
A)  22 
B)  21.9 
C)  21.92 
D)  21.918 
E)  21.9180

Question 15

When determining the number of significant figures in a number,zeroes to the left of the decimal point are never counted.

Accepted Answer

A) True 
 B)False

Question 16

Vector   = -1.00   + -2.00   and vector   = 3.00   + 4.00   .What are the magnitude and direction of vector   = 3.00   + 2.00   ?

Accepted Answer

A)  3.61 in a direction -56.3° counterclockwise from the positive x-axis 
B)  3.61 in a direction 56.3° counterclockwise from the positive x-axis 
C)  3.61 in a direction 33.7° counterclockwise from the positive x-axis 
D)  5.00 in a direction 56.3° counterclockwise from the positive x axis 
E)  6.72 in a direction 34.4° counterclockwise from the positive x-axis 
A)  3.61 in a direction -56.3° counterclockwise from the positive x-axis 
B)  3.61 in a direction 56.3° counterclockwise from the positive x-axis 
C)  3.61 in a direction 33.7° counterclockwise from the positive x-axis 
D)  5.00 in a direction 56.3° counterclockwise from the positive x axis 
E)  6.72 in a direction 34.4° counterclockwise from the positive x-axis

Question 17

In addition to 1 m = 39.37 in.,the following exact conversion equivalents are given:     and 1 min = 60 s.If a particle has a velocity of 8.4 miles per hour,its velocity,in m/s,is closest to

Accepted Answer

A)  3.8 m/s. 
B)  3.0 m/s. 
C)  3.4 m/s. 
D)  4.1 m/s. 
E)  4.5 m/s. 
A)  3.8 m/s. 
B)  3.0 m/s. 
C)  3.4 m/s. 
D)  4.1 m/s. 
E)  4.5 m/s.

Question 18

For the vectors shown in the figure,find the magnitude and direction of   ×   ,assuming that the quantities shown are accurate to two significant figures.

Accepted Answer

A)  26, directed into the plane 
B)  26, directed out of the plane 
C)  31, directed on the plane 
D)  31, directed into the plane 
E)  31, directed out of the plane 
A)  26, directed into the plane 
B)  26, directed out of the plane 
C)  31, directed on the plane 
D)  31, directed into the plane 
E)  31, directed out of the plane

Question 19

If a tree is 15 m tall,its height expressed in feet is x ft,where x is

Accepted Answer

A)  less than 15. 
B)  greater than 15. 
A)  less than 15. 
B)  greater than 15.

Question 20

If the magnitude of vector   is less than the magnitude of vector   ,then the x component of   is less than the x component of   .

Accepted Answer

A) True 
 B)False

Exam 1: Units,physical Quantities,and Vectors

If = 3 - + 4 and = x + - 5 ,find x so will be perpendicular to .

The current definition of the standard kilogram of mass is based on

The magnitude of a vector can never be less than the magnitude of one of its components.

The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector .

An apple falls from an apple tree growing on a 20° slope.The apple hits the ground with an impact velocity of 16.2 m/s straight downward.What is the component of the apple's impact velocity parallel to the surface of the slope?

If a flower is 6.5 cm wide,its width expressed in millimeters is x mm,where x is

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute)through the filter.Given that 1.00 in.= 2.54 cm,how many cubic meters per second does this fan pull?

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is,the "rise" is 2% of the "run").What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Add and and express your answer in milligrams (mg).

Vectors and are shown in the figure.Vector is given by = - .The magnitude of vector is 16.0 units,and the magnitude of vector is 7.00 units.What is the magnitude of vector ?

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

When determining the number of significant figures in a number,zeroes to the left of the decimal point are never counted.

Vector = -1.00 + -2.00 and vector = 3.00 + 4.00 .What are the magnitude and direction of vector = 3.00 + 2.00 ?

In addition to 1 m = 39.37 in.,the following exact conversion equivalents are given: and 1 min = 60 s.If a particle has a velocity of 8.4 miles per hour,its velocity,in m/s,is closest to

For the vectors shown in the figure,find the magnitude and direction of × ,assuming that the quantities shown are accurate to two significant figures.

If a tree is 15 m tall,its height expressed in feet is x ft,where x is

If the magnitude of vector is less than the magnitude of vector ,then the x component of is less than the x component of .

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum,impulse,and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current,resistance,and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

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