Final Exam Phyiscs

8/11/2019 Final Exam Phyiscs

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Ph\sics

2210 Fall2012-

Novcmbcr 2

David

Ailion

Unid:

________________________________

_

Final xam

DiscussionTA: Bryant Justin Will Yuan

1

SHOW ALL WORK!!

Place answers in box provided

or

each question. Specifyunitsforeachanswer.

Report allnumbersto twosignificantfigures.

Circlecorrectanswer(s)foreachquestion!

A. [5

pts.] Which

of

thefollowingaretrue. Circleallcorrectanswers.

Simpleharmonicmotionisalwaysduetotheoscillatory(backandforth)motion

of

springs.

Gravitationalforcesmayresult

in

simpleharmonicmotion.

c) Theangularfrequency

of

amassmattachedtoaspring

of

springconstantkin acontainercontaininga

viscousmediumisgiven

by

ro

;

.Jk

1m

(d)

Aphysicalpendulumconsisting

of

alargeuniformstickof massm is oscillatingwithanangular

frequency

ro

aboutapivotpointnearoneend.

If

thepivotpointischangedtothecenter

of

mass,the

angularfrequencywillbeunchangedbecausethemoment

of

inertia,themassm,andthelength

of

the

stickareallunchanged.

(e)

Noneof theabovearetrue.

B. [5

pts.] Which

of

thefollowingaretrue. Circleallcorrectanswers.

Afigureskaterbringsinherarmsto increasehermoment

of

inertia.

Thedirectionof thetorquevectorisalwaysperpendiculartotheforcethatcreatedit.

(c)

t

is

possib

Ie

fortheangularmomentumtovarywithtimeeven

if

theexternaltorqueiszero(and

constant).

(d)

Thereasonthatwecanuseconservationof energyforarollingwheelisthatthefrictionforcedoesnot

resultinatorqueaboutthecenter

of

mass.

(e)

All

of

theabovearefalse.

C. [5

piS ]

In anisolatedsystemof twobodiesthatexertgravitationalforcesononeanotherandmoveinelliptical

orbits,whichof thefollowingremainconstant?

Thetotalenergyof thesystem.

Thetotalangularmomentumof thesystem.

(c)

Thespeedof eachbody.

(d)

Thegravitationalforcebetweenthetwobodies.

(e)

Noneof theabove.


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h ~ s i c s

2210 Fall 2012- No\,cmbcl'

21 David

Ailion

Unid:

_

Final

xanl

DiscussionT

A:

Bryant

Justin

Will Yuan

SHOW

ALLWORK!!

Place a circle or box around

each answer Specityunitsforeachanswer.

Report

allnumberstotwosignificantfigures.

Problem1- Continued - Placeanswersinbox

D.

[5

pts } Calculatethevalueofgfora

2.1

kgmassataheight1.32

x

10

4

km

abovetheearth'ssurface.

J:::

q

fvlc

E.

[5 pts }

Aspringof springconstantkisattachedtoafixedpointPonasmooth

p

inclinedplane

of

anglee

=

30. Whenamassm

=

2.4kgisattachedtothespring,

asshown,thespringstretchesby4.8cm. Calculatekin SI units.


3/6

)::1\ id ilion

Vnid: ----- _

inal xam

Discussion TA: Bryant Justin Will Yuan

2

SHOW ALL WORK!!

Place a circle or

ox

around each answer

Specify units for each answer.

Report all numbers to two significant figures.

. -

l

t

h .........

A playground is on the flat roof of a city school, 7.00 m above the street below. The

I

vertical wall of the building is 8.00 m high, forming a 1.00 m high railing around the

playground. A ball has fallen to the street below, and a passerby returns it by

I

d

I

launching it at an angle of 53.0 above the horizontal at a point 27.0 m from the base

of the building wall. The ball takes 2.20 s to reach a point vertically above the wall.

(a)

[7 pts ]

Find the speed at which the ball was launched.

(b

[7 pts }

Find the vertical distance, h, by which the ball clears the wall. ~

(c)

[ pts } Find the distance, d, from the wall to the point on the roof where the ball lands.


4/6

Name: _-= - - -=-

-- - -.>,--

Vnid: _

Final xam


SHOW ALL WORK!!

lace a circle

or

box around each

answer Specify units for each answer.


A physical pendulum consists of a solid sphere and a rod that is rigidly attached to the sphere at

point Q, directly opposite to the pivot point

P

The sphere has radius r and mass m, and the rod has

length L and mass M.

3


5/6

)a id

Ailion

Name:

G \ A _ ~ ~

_ > _ ~ - ' - ~ ~ . _

Unid: _

Final xam


4

SHOW ALL WORK!!

Place a circle or ox around each answer SpecifY units for each answer.


A block

of

mass m

=

0.20 kg is at rest at the height h

=

4.0 m on a smooth inclined plane as shown. It slides down onto

frictionless surface and collides inelastically with a second block

of

identical mass. The velocity

of

the first block

immediately after the collision

is 1 3

its velocity immediately before the collision and

is

in the same direction. The floo

to the right

of

the second block is rough with a coefficient of kinetic friction lk

=

0.50. As result, the second block slide

a distance d before coming to rest.

(a)

(b)

(c)


6/6

Name:

Unid: _

Final

Xam

Discussion T A: Bryant Justin Will Yuan

5

SHOW ALL WORK!!

p

Place a circle

or

box around each

answer

Specify units for each answer.


n class, Adam did a demonstration in which he shot an arrow ofmass

m 330 gm horizontally into a block

of

mass M 5.00 kg, which was suspended a

distance L

=

75 cm below a pivot point P The arrow was embedded in the block

m

=- M

and the system swung upwards such that the maximum horizontal displacement

was observed

to

be

15

cm. Treat the arrow as a point mass.

(a)

[7 pIS ]

Calculate the maximum kinetic energy of the system consisting

of

the arrow embedded in the block.

(b) [7 pIS }

Calculate

the

velocity

ofthe

arrow immediately before it struck the block.

(c)

[6 pis ]

Calculate

the

angular momentum

of

the arrow relative to the axis

of

rotation immediately before impac

Will this be the same as the angular momentum

of

the system immediately after impact? Explain.

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