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PHY 1001- Physics 1 Midterm Exam III
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Pleasedo all of the following problems.^ You are allowedto havea formula sheet,calculator and ruler. Pleaseshow vour work
- (6 pointsJTwo objectswith different massescollideand stick to eachother. Compared to beforethe collision,the systemof two objectsafter the collisionhas A. the sametotal momentumand the sametotal kinetic energy.
{B.)thesametotal momentumbut lesstotal kinetic energy. Y lesstotal momentumbut the sametotal kinetic energy. D.lesstotal momentumand less'totalkinetic energy. E. not enoughinformation givento decide
- (6 pointsJA solid bowling ball rolls down a ramp. Which of the following forcesexertsa torque on the bowling ball about its center?
A. the weight of the ball B.the normal force exertedby the ramp (!)the friction force exertedby the ramp D. more than one of the above E.The answerdependson whether the ball rolls without slipping.
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r*mt"g figureskaterpullshis^ armsin ashe^ rotateson^ the^ ice.As^ hepulls
his armsin,what happensto his angularmomentumL andkineticenergyK?
A, L and K both increase. @ L rtuyr the same,K increases. Y L increases,K staysthe same. D. L and K both stavthe same.
- [6 points) A yellow block and a red rod are joined^ together.Eachobjectis of uniform density.The^ centerof massof the combinedobjectis at the position shownby the black
C.they both havethe samemass D. not enoughinformation givento decide
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PHY 1001- PhysicsI (^) Midterm Exam III
5. (Bpoints)Torque.A forceF = G? + Sj)N actson an objectat a pointlocatedatthe
positionf = (6k)m.^ *5, is the torquethat this forceappliesaboutthe origin?
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approximate massin atomic massunits(u)1. After the decay,the alpha particle is moving at 3.0x10sm/s, at 40" to the original velocityof the sli nucleus.What is_{remagnitudeand directionurrvvrr--r,r^ of the prgton's^ velocity? ;, -^ + y1/t^ f I'F (^) */ /y\ ; f , ,
= (^) 4u uu^ -r^ 'o(^ 'd l-1 -^17 u'^ LL^ Lt
T)o \t^ i.n ^
o^"A 1 ry( L,,:
Me tl ,,n4f {D:\U*J#\unsinn'o
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vH= 2.oB-l?lL, ,r*ru ='ffi,
- [B points) Conservation of Momentum. A Lithium-Snucleus(sLiJis moving 6.0x10s m/s when it decaysinto a proton (1H)and an alpha particle^ [nHe)[The superscripted numbersare the total number of neutrons+ protons in the nucleus,and give (^) its
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PHY 1001-PhysicsI (^) Midterm Exam III
9. Angular Velocity &Acceleration. A roller in a printing pressturns throughan angle
0(t),givenUf e (t) = Tf" - Bt',whereT = 3,20rad/szandB=g.500radlsi.
(a) t7 points)Whatis the angularvelocityof the roller asa functionof time? ,
DLf)= &Q= 1f ?- 3^ ptt ; (p,qo# t -{'sao
tt ffi5*L
(bl t7 points) What is the angular accelerationof the roller as a function of time?
dul = AZg7Y6Pl=$'40# -3'oD
t {*
=:) a Y^ - Up+
=Q
Vnx,ldoc;r>t ut{-4 bt "=o /:.t
3.?b'4- ---*.s.:?.^ = 2.t33s
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(c) (6 pointsJ What is the maximum positive angular velocity, and at what time doesit occur?
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f PHY 1001- Physics (^1) Midterm Exam III Name:
- Conservation of Energy. A solid, (^) uniform ball
rolls without slipping up a hill, as shown in the Figure. At the top of the hill, it is moving horizontally, and then it goesover the vertical cliff. [a) (B^ pointsJHow far from the foot of the cliffdoes the ball land? 25.0m/s ig;;'ft gn'w>"rin3h,/>>^ {e uxt={rs'%eL)bm (b) (6 pointsJHowfadfis it movinEjtrStTEldreit lands? X a(o^ =^ 3 b 'f^ ry. - Jl = Uo,l^ +qvt *Q+(i.gb 3qs) /t\t -) {-lL L' ,X fv
b ;:: = 15,
y/\
s (^) 2,z4^ rtu tl \ ,? (^) ,L? f {r, F) l"s^ 'A t ?K, C (cl (6 points) Notice that when the ball lands,it has (^) a greater translational speedthan when it was at the bottom of the hill. How is this possible? Explain. , a^ {s'|re,i', f d4l {^s L: "il t"it , 't's {'t'}t -\ ,tJ )r ^-AleuVL lryy /n#''Y tlost,/ { t p Drr- J' f$ ar9:t^ Sh'/( cAv*""td
