Question 1

Vector  
Is 5 m long and vector  
Is 12 m long.The length of the sum of the vectors must be:

Accepted Answer

A) some value from 7 m to 17 m. 
B) 13 m. 
C) 17 m. 
D) 8 m. 
A) some value from 7 m to 17 m. 
B) 13 m. 
C) 17 m. 
D) 8 m. A

Question 2

Suppose an equation relating position,x,to time,t,is given by x = bt3 + ct4,where b and c are constants.The dimensions of b and c are respectively:

Accepted Answer

A) T3,T4. 
B) 1/T3,1/T4. 
C) L/T3,L/T4. 
D) L2⋅T3,L2⋅T4. 
A) T3,T4. 
B) 1/T3,1/T4. 
C) L/T3,L/T4. 
D) L2⋅T3,L2⋅T4. C

Question 3

Note the expression: y = A/x3.Which statement is most consistent with this expression?

Accepted Answer

A) y is less than A. 
B) If x is halved,y is multiplied by eight. 
C) If x is doubled,y is multiplied by a factor of 8. 
D) y is greater than x. 
A) y is less than A. 
B) If x is halved,y is multiplied by eight. 
C) If x is doubled,y is multiplied by a factor of 8. 
D) y is greater than x. B

Question 4

A right triangle has sides 10 m,5 m,and 11 m.The smallest angle of this triangle is nearest

Accepted Answer

A) 32°. 
B) 27°. 
C) 22°. 
D) 63°. 
E) ​Not attainable since this is not a right triangle. 
A) 32°. 
B) 27°. 
C) 22°. 
D) 63°. 
E) ​Not attainable since this is not a right triangle.

Question 5

If θ and φ are each first quadrant angles,which of the following must be true if sin θ = cos φ?

Accepted Answer

A) θ + φ = π rad 
B) θ + φ = 90° 
C) θ - φ = π/2 rad 
D) θ = φ 
A) θ + φ = π rad 
B) θ + φ = 90° 
C) θ - φ = π/2 rad 
D) θ = φ

Question 6

​A rectangular-shaped patio has a base length equal to (24.5 ± 0.2)m and a height equal to (9.3 ± 0.1)m.What is the area of the patio,including its uncertainty?

Accepted Answer

A) ​228 ± 4 
B) ​228 ± 2 
C) ​228 ± 23 
D) ​228 ± 6 
A) ​228 ± 4 
B) ​228 ± 2 
C) ​228 ± 23 
D) ​228 ± 6

Question 7

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 91.50 in.2.The number of significant figures in the width measurement must be at least

Accepted Answer

A) 1. 
B) 2. 
C) 3. 
D) 4. 
E) ​5. 
A) 1. 
B) 2. 
C) 3. 
D) 4. 
E) ​5.

Question 8

Each edge of a cube has a length of 12.7 cm.What is the length of a diagonal of the cube going through the center of the cube?

Accepted Answer

A) 24.0 in. 
B) 22.0 in. 
C) 25.5 in. 
D) 20.5 in. 
E) ​8.7 in. 
A) 24.0 in. 
B) 22.0 in. 
C) 25.5 in. 
D) 20.5 in. 
E) ​8.7 in.

Question 9

A taxicab moves five blocks due north,five blocks due east,and another three blocks due north.Assume all blocks are of equal size.How far is the taxi from its starting point?

Accepted Answer

A) 13 blocks 
B) 9.4 blocks 
C) 9.2 blocks 
D) 8.6 blocks 
A) 13 blocks 
B) 9.4 blocks 
C) 9.2 blocks 
D) 8.6 blocks

Question 10

If a is acceleration,v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

Accepted Answer

A) t = x/v 
B) a = v2/x 
C) v = a/t 
D) t2 = 2x/a 
A) t = x/v 
B) a = v2/x 
C) v = a/t 
D) t2 = 2x/a

Question 11

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 × 5.6 × 2.33?

Accepted Answer

A) 200 
B) 195.720 
C) 195.72 
D) ​195.7 
E) ​196 
A) 200 
B) 195.720 
C) 195.72 
D) ​195.7 
E) ​196

Question 12

Which point is nearest the x-axis?

Accepted Answer

A) ​(1,7) 
B) (-3,-6) 
C) ​(-7,5) 
D) ​(-6,-4) 
E) ​(2,3) 
A) ​(1,7) 
B) (-3,-6) 
C) ​(-7,5) 
D) ​(-6,-4) 
E) ​(2,3)

Question 13

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 8 and 9 cm,how many significant figures will result if you only use the part of the meter stick between the 82-cm and 93-cm positions?

Accepted Answer

A) 0 
B) 2 
C) 3 
D) 4 
E) ​more than 4 
A) 0 
B) 2 
C) 3 
D) 4 
E) ​more than 4

Question 14

Water flows into a swimming pool at the rate of 7.0 gal/min.The pool is 17 ft wide,32 ft long and 7.0 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)

Accepted Answer

A) 34 hours 
B) 68 hours 
C) 67 hours 
D) 136 hours 
E) ​680 hours 
A) 34 hours 
B) 68 hours 
C) 67 hours 
D) 136 hours 
E) ​680 hours

Question 15

Vectors  
,  
,and  
Have magnitudes 6,11,and 22.When these vectors are added,what is the least possible magnitude of their addition?

Accepted Answer

A) 25 
B) 15 
C) 5 
D) 3 
A) 25 
B) 15 
C) 5 
D) 3

Question 16

The ratio T/m of the prefixes M and m has what value?

Accepted Answer

A) 1016 
B) 1014 
C) 1015 
D) 1013 
E) ​1017 
A) 1016 
B) 1014 
C) 1015 
D) 1013 
E) ​1017

Question 17

​A herd of sheep eats 10 bales of hay every 4 days.If a bale of hay costs $2.85,how much will it cost to feed the sheep hay for one year?

Accepted Answer

A) ​$912.50 
B) ​$2,600.63 
C) ​$28.50 
D) ​$3,650.00 
A) ​$912.50 
B) ​$2,600.63 
C) ​$28.50 
D) ​$3,650.00

Question 18

Since 1983 the standard meter has been defined in terms of which of the following?​

Accepted Answer

A) specific alloy bar housed at Sevres,France 
B) wavelength of light emitted by krypton-86 
C) distance from the Earth's equator to the North Pole 
D) the distance light travels in a certain fraction of a second 
E) None of the above 
A) specific alloy bar housed at Sevres,France 
B) wavelength of light emitted by krypton-86 
C) distance from the Earth's equator to the North Pole 
D) the distance light travels in a certain fraction of a second 
E) None of the above

Question 19

Vector  
Is 3.00 units in length and points along the positive x axis;vector  
Is 5.00 units in length and points along a direction 150° from the positive x axis.What is the direction of their sum with respect to the positive x axis?

Accepted Answer

A) 62.0° 
B) 13.0° 
C) 118° 
D) 103° 
A) 62.0° 
B) 13.0° 
C) 118° 
D) 103°

Question 20

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 25 and 53 cm,how many significant figures will result if you only use the part of the meter stick between the 3-cm and 85-cm positions?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) ​more than 4 
A) 1 
B) 2 
C) 3 
D) 4 
E) ​more than 4

Exam 1: Units, Trigonometry, and Vectors

Vector Is 5 m long and vector Is 12 m long.The length of the sum of the vectors must be:

Suppose an equation relating position,x,to time,t,is given by x = bt3 + ct4,where b and c are constants.The dimensions of b and c are respectively:

Note the expression: y = A/x3.Which statement is most consistent with this expression?

A right triangle has sides 10 m,5 m,and 11 m.The smallest angle of this triangle is nearest

If θ and φ are each first quadrant angles,which of the following must be true if sin θ = cos φ?

​A rectangular-shaped patio has a base length equal to (24.5 ± 0.2)m and a height equal to (9.3 ± 0.1)m.What is the area of the patio,including its uncertainty?

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 91.50 in.2.The number of significant figures in the width measurement must be at least

Each edge of a cube has a length of 12.7 cm.What is the length of a diagonal of the cube going through the center of the cube?

A taxicab moves five blocks due north,five blocks due east,and another three blocks due north.Assume all blocks are of equal size.How far is the taxi from its starting point?

If a is acceleration,v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 × 5.6 × 2.33?

Which point is nearest the x-axis?

Water flows into a swimming pool at the rate of 7.0 gal/min.The pool is 17 ft wide,32 ft long and 7.0 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)

Vectors , ,and Have magnitudes 6,11,and 22.When these vectors are added,what is the least possible magnitude of their addition?

The ratio T/m of the prefixes M and m has what value?

​A herd of sheep eats 10 bales of hay every 4 days.If a bale of hay costs $2.85,how much will it cost to feed the sheep hay for one year?

Since 1983 the standard meter has been defined in terms of which of the following?​

Vector Is 3.00 units in length and points along the positive x axis;vector Is 5.00 units in length and points along a direction 150° from the positive x axis.What is the direction of their sum with respect to the positive x axis?

Motion in One Dimension

Motion in Two Dimensions

Newtons Laws of Motion

Energy

Momentum, Impulse, and Collisions

Rotational Motion and Gravitation

Rotational Equilibrium and Dynamics

Fluids and Solids

Thermal Physics

Energy in Thermal Processes

The Laws of Thermodynamics

Vibrations and Waves

Sound

Electric Forces and Fields

Electrical Energy and Capacitance

Current and Resistance

Direct-Current Circuits

Magnetism

Induced Voltages and Inductance

Alternating-Current Circuits and Electromagnetic Waves

Reflection and Refraction of Light

Mirrors and Lenses

Wave Optics

Optical Instruments

Relativity

Quantum Physics

Atomic Physics

Nuclear Physics

Nuclear Energy and Elementary Particles

Filters

Suppose an equation relating position,x,to time,t,is given by x = bt³ + ct⁴,where b and c are constants.The dimensions of b and c are respectively:

Note the expression: y = A/x³.Which statement is most consistent with this expression?

A rectangular-shaped patio has a base length equal to (24.5 ± 0.2)m and a height equal to (9.3 ± 0.1)m.What is the area of the patio,including its uncertainty?

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 91.50 in.².The number of significant figures in the width measurement must be at least

A herd of sheep eats 10 bales of hay every 4 days.If a bale of hay costs $2.85,how much will it cost to feed the sheep hay for one year?

Since 1983 the standard meter has been defined in terms of which of the following?