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Kinematics Forces EnergyWaves &

Sound

Electricity &

Magnetism

Kinematics 100

In what region(s) is the object speeding up?

B

v

t (s)

2.8

(m/s)[N]

10.5

-7.3

2.4 5.0

A

C

Kinematics 200

Calculate the displacement of the object represented in the v-t graph.

B

v

t (s)

2.8

(m/s)[N]

10.5

-7.3

2.4 5.0

A

C

][9.182

)3.2(3.7

2

)4.0(5.10)4.2(5.10

Nm

d

Kinematics 300Find the resultant displacement of the

following displacement vectors.

12m [E], 17m [N20W], 8m [W50S]

]84[90.9

84)04.1/85.9(tan

90.985.904.1

85.950sin820cos17

04.150cos820sin1712

1

22

NEmd

d

d

d

R

R

y

x

Kinematics 400

What direction should you aim your boat if you hope to paddle directly across a river which is flowing at 7.5m/s [W] and you are able to

paddle with a speed of 12m/s in still water? Assume you are standing on

the south side of the river.

12m/s

7.5m/s

]39[]51[

51

12/5.7cos

ENorNE

Kinematics 500

A model rocket is launched from the ground with a velocity of

73m/s[E45N]. What is its horizontal range?

][540

)2.543(00184.00

00184.00

)45sin73(2

)81.9(0

2

2

2

2

2

2

1

2

1

2

11

11

2

1

2

2

Emd

dd

dd

dd

v

dadd

v

da

v

dvd

v

d

v

dt

tatvd

x

xx

xx

xx

y

xyxy

y

xy

y

xyy

y

x

x

x

yyy

Forces 100An object has a weight of 49.05N on Earth. What will its weight be on a planet where

g=3.43m/s^2?

NmgF

kgg

Fm

mgF

g

g

g

2.17)43.3(00.5

00.581.9

05.49

22

Forces 200

A 10kg object is resting on a flat surface with static and kinetic

coefficients of friction of 0.35 and 0.20 respectively. If 25N of force is applied to the object, what will

be the force of friction?

NFF

NF

mgF

FF

Afs

fs

sfs

Nsfs

25

34)81.9)(10(35.0

Forces 300

A 10kg object is resting on a flat surface with static and kinetic coefficients of friction of 0.35 and 0.20 respectively. If 40N of force is applied to the object, what will be the force of friction?

NmgFF

FF

NF

mgF

FF

kfkf

fsA

fs

sfs

Nsfs

20)81.9)(10(2.0

34)81.9)(10(35.0

Forces 400

Determine the maximum mass of the hanging object for the system to

remain static.

μs=0.500

m=10kg

AsB

AsB

fsAgB

mm

gmgm

FF

kg0.5)10(5.0

Forces 500

You push a 12kg shopping cart at an angle of 25 degrees above the

horizontal with an applied force of 35N. The kinetic coefficient of

friction between the wheels and the ground is 0.10. Determine the

acceleration of the cart.

254.1

12)51.132)(1.0(25cos35

cos

51.132)81.9(1225sin35

0

s

ma

a

maFF

maFF

maF

NF

FFF

maF

x

x

xNkA

xfkAx

xx

N

gAyN

yy

Energy 100

Calculate the thermal energy released when 0.52kg of Uranium is completely annihilated via nuclear

fission.

JE

E

mcE

16

28

2

1068.4

)1000.3)(52.0(

Energy 200

How fast will an object be traveling after 10.0m if it is dropped from rest, provided air resistance is neglected?

smghv

mvmgh

EE

EE

kg

TT

/0.14)0.10)(81.9(22

2

1

2

1

21

21

Energy 300

Determine the shortest stopping distance of a 1500 kg car traveling

100km/hr on a horizontal road if the maximum static coefficient of

friction the tires are able to generate is 0.75

mg

vd

dmgmv

dFmv

EWE

smhrkmv

s

s

f

Kk

4.52)180cos()81.9)(75.0(2

78.27

cos2

0cos2

0cos2

/78.27/100

221

21

21

21

1

Energy 400How long, in minutes, will it take a 300W electric kettle which is 92%

efficient to bring 0.50kg of water to its boiling pt? The specific heat

capacity of water is 4200J/kgC and is initially at 25C.

min5.965.570276

157500

157500)25100)(4200)(500.0(

276)300(92.0

%100

sP

Qt

t

QP

JTmCQ

WP

P

P

out

out

out

in

out

Energy 500Determine the height of the first hill of a roller coaster with m=40,000kg if it leaves the first hill from rest and is traveling at 15m/s at the top of the second hill which is 17m high. The

average force of friction between the wheels and the track is 700N and the

length of track between the top of the first and second hill is 200m.

mh

mg

dF

g

vhh

dFmv

mghmgh

dFEEE

WEWE

f

f

fkgg

outTinT

29)81.9(000,40

)200(700

)81.9(2

1517

2

2

2

1

2

21

2

21

221

21

Waves 100If sound is traveling at 322m/s, what is the temperature outside?

Cv

T

Tv

3.1559.0

331322

59.0

331

59.0331

Waves 200

The shortest resonance length of an open air column is 7.5cm when played with a 1200Hz

sound. Determine the 2nd resonance length.

cmL

LLn

L

nL

n

n

15)5.7(22

2

1

2

22

2

21

Waves 300Two nodes in an electromagnetic standing wave pattern are 6.1cm

apart. The source emits 2,450,000,000 electromagnetic waves each second. Determine

the velocity of the wave.

smfv

Hzf

mcm

d

/1099.2)122.0)(102450(

102450

122.02.12)1.6(22

86

6

Waves 400Determine the temperature in a

room where the shortest resonance length of a closed air

column exposed to a 720Hz sound is 12cm.

CT

Tv

smfv

cmn

L

nL

7.2459.0

3316.345

59.0331

/6.345)48.0(720

48)1)1(2(

)12(4

)12(

44

)12(

1

1

Waves 500While watching a storm on a muggy 32C summer day, you record 2 times,

10 seconds apart from one another. The first time you record is a 5.2s delay

from when you see a flash of lightning to when you hear the corresponding

thunder. The next time delay you record is 4.7s. How quickly is the

storm approaching you?

smv

mtvd

mtvd

smv

storm /5.1710

43.164437.1819

43.1644)7.4(88.349

37.1819)2.5(88.349

/88.349)32(59.0331

22

11

Electricity & Magnetism 100

A compass is placed below a straight conductor whose

current is flowing [W]. What direction will the compass

needle point?


A conductor is placed within a magnetic field whose field

lines point [S]. If the current flowing out of the plane that intersects the magnetic field, what is the direction of the

force the conductor experiences?


Two loads of 15ohm and 25ohm are connected in series to a

battery. If the current flowing through the first load is

250mA, what is the potential difference at the battery?

VRIV

AII

RRR

eqss

s

eq

10)40(25.0

25.0

402515

1

21


Two loads R1=200ohm and R2=600ohm are connected in

parallel to a battery. The current leaving the battery is

0.100A. Determine the current flowing through R2.

AR

VI

VVV

VRIV

R

RRR

S

eqSS

eq

eq

025.0600

0.15

0.15

0.15)150(100.0

150

6001

2001

1

111

2

22

2

21


A 110V power supply pushes charge through the combined

circuit as follows: R1=100ohm, connected in

series, then R2 & R3 connected in parallel with one

another, in series with R1. I1=0.250A, I2=0.100A.

Determine R3.

567150.0

85

150.0100.0250.0

8525110

25)100(250.0

3

33

3

321

3

31

111

I

VR

AI

III

VV

VVV

VRIV

S

The Final Jeopardy Category is…

•Mr. Langlois

(Please write down your wager and give it to Mr. Langlois)

The brand of bike that

Mr. Langlois races.

Here’s the answer…

(Give your response in the form of a question)

FINAL Jeopardy

What is….

200

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