合肥工業(yè)大學(xué)大學(xué)物理考試試題

如有你有幫助，請(qǐng)購(gòu)買下載，謝謝！

Exercise:

1.Aparticlemovingalongaxisstartsfromwithinitialvelocity

x

x

0

v

0

akv

k

.Itsaccelerationcanbeexpressedin=-whereisaknown

2

vvx

x

constant.Finditsvelocityfunction=()withthecoordinateas

variable.

2.Aparticlemovesinxyplanewiththemotionfunctionas

(allinSI).Find(a)itsvelocity

v(t)

(b)

and

r(t)(5cos3t)i(5sin3t)j

(c)

rv

accelerationintheunit-vectornotation.Showthat

.

a(t)

3.Abulletofmassmisshotintoasandhillalongahorizontal

path,assumethatthedragofthesandisfkv,findthevelocity

functionv(t)ifv(0)vandthegravitationofthebulletcanbe

0

ignored.

4.whatworkisdonebyaconservativeforce

that

f2xi3j

movesaparticleinplanefromtheinitialposition

to

xy

r2i3j

i

thefinalposition

.AllquantitiesareinSI.

r4i3j

f

5.Theangularpositionofapointontherimofarotatingwheelis

givenby,whereisinradiansandtisin

4.0t3.0tt3

2

t=0

t

seconds.Find(a)itsangularvelocitiesatsand=4.0s?(b)

t

Calculateitsangularaccelerationat=2.0s.(c)Isitsangular

accelerationconstant?

M

L

6.Auniformthinrodofmassandlengthcanrotatefreely

1

o

aboutahorizontalaxispassingthroughitstopend(

).A

IML2

3

1頁(yè)

如有你有幫助，請(qǐng)購(gòu)買下載，謝謝！

m

bulletofmasspenetratestherodpassingitscenterofmass

whentherodisinverticalstationary.Ifthepathofthebulletis

v

v

horizontalwithaninitialspeedbeforepenetrationandafter

0

o

2

penetration.Showthat(a)theangularvelocityoftherodjustafter

3mv

thepenetrationis

.(b)Findthemaximumangular

max

0

4ML

therodwillswingupwardafterpenetration.

7.A1.0gbulletisfiredintoablock(M=0.50kg)thatismounted

ontheendofarod(L=0.60m).Therotationalinertiaoftherod

aloneaboutAis0.06kgm2.Theblock-rod-bulletsystemthen

rotatesaboutafixedaxisatpointA.Assumetheblockissmall

enoughtotreatasaparticleontheendoftherod.Question:(a)

Whatistherotationalinertiaoftheblock-rod-bulletsystemabout

A?(b)IftheangularspeedofthesystemaboutAjustafterthe

bullet’simpactis4.5rad/s,Whatisthespeedofthebulletjust

A

beforetheimpact?

x

8.Aclockmovesalongtheaxisataspeedof0.800candreads

zeroasitpassestheorigin.(a)CalculatetheLorentzfactor

M

S*

betweentherestframeSandtheframeinwhichtheclockis

xm

rest.(b)whattimedoestheclockreadasitpasses=180?

m

9.Whatmustbethemomentumofaparticlewithmassso

thatitstotalenergyis3timesrestenergy?

10.Idealgaswithinaclosedchamberundergoesthecycleshown

2頁(yè)

如有你有幫助，請(qǐng)購(gòu)買下載，謝謝！

in

40

Q

thenetenergyaddedtothegasasheat

net

d2u0ringonecompletecycle.

10

11.Onemoleofamonatomicidealgasundergoesthecycle

V

(m3)

3.04.0

1.02.0

shownintheFig.temperatureatstateAis300K.

(a).calculatethetemperatureofstateBandC.

(b).whatisthechangeininternalenergyofthegasbetweenstate

AandstateB?()

E

int

(c).theworkdonebythegasofthewholecycle.

(d).thenetheataddedtothegasduringonecompletecycle.

P(Pa)

A

300

C

B

100

1

3

V(m3)

12.Themotionoftheelectronsinmetalsissimilartothemotion

ofmoleculesintheidealgase