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PRACTICE:Physics Unit8: Rotational Motion



 Author: physicsPublish Date: 2022-12-13 12:30   Total Marks: 79 mks  Marks Awarded: _____________

User Name: No Login  Start Time: 22年07月27日 13:44  Switch to Whole-Paper Mode

Mark Problem
1#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular displacement is usually express in unith(9 qcb gwt0e* bt(a0cs of

Correct Answer:    

Mark Problem
2#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular velocity is expre3 1adfbfkgj( 0ssed in units of

Correct Answer:    

Mark Problem
3#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular acceleration is expressed)ex1 rwjh x(*rxz(-bs7dh1 gn in units of

Correct Answer:    

Mark Problem
4#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a me7uj2s9qo p;i f.sg* werry-go-round which is turning at a constant rate. The boy is near the outer edsef;i.jgs2 wp oqu7*9ge, and the girl is closer to the center. Who has the greater angular displacement?

Correct Answer:    

Mark Problem
5#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merryx/ +r(ly1b;wi7 no dvc-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angulovrb;(c+x w/iyn 7l1dar speed?

Correct Answer:    

Mark Problem
6#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merry-go-round which is turning at a h,hi b2n;gh5u constant rate. The boyh;h2 5, ihugnb is near the outer edge, and the girl is closer to the center. Who has the greater linear speed?

Correct Answer:    

Mark Problem
7#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding a merry-go-round which is turning at pt4;vehl 5r i027tnnqi z9fj1vhse/7a constant rate. The boy is near the outer edge, while the girl is clos/pj e5nin4tr vvshtezl;hqi2717 9 f0er to the center. Who has the greater centripetal acceleration?

Correct Answer:    

Mark Problem
8#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are ridingjm +do1 a xq msm6ij:s*,gp -wet5 z8,;oej1ya a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who 516jwix ,,eday sjp*j ;qgz +ot: -8mmo mesa1has the greater tangential acceleration?

Correct Answer:    

Mark Problem
9#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a rigid body that is rotating. Which one j0oby0 +;mrw q- g3t8f2cwlf the following is an accurate statemeneqb-w0 fjcn0 2m+tw8or ; yg3lt?

Correct Answer:    

Mark Problem
10#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Rolling without slipping depends o ;xnu(s0x9az0mp3vf xn

Correct Answer:    

Mark Problem
11#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a door71ugb9 fbxyufis4:a 3 . The first force is applied at the midpoint of the door; the yi7bfa19: uuxb3g4sf second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

Correct Answer:    

Mark Problem
12#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a door at the doorknob. T-9/cskxig.yniztpc/ z(;* scnf 8x )mhe first force is applied perpendicular to the door; tzf-sizg* 9 t /c;i. sxp/)cnxcn m8ky(he second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

Correct Answer:    

Mark Problem
13#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two forces are applied to a doorknob, perpendicular to the door. wz1gjic8 fi5 0 The first force is twice as large as the second force. The ratio of the torque of the first to the tcjw 0z518fgi iorque of the second is

Correct Answer:    

Mark Problem
14#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the quantity used to measure anrv -3dsc*t(ig object's resistance to changes in rotatidv g*c3rt -is(on?

Correct Answer:    

Mark Problem
15#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid spheres where both have the same diameter, bhpgpe3:hu-p/499flpw +69l zuxkz irut one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smallgw+ l:4k/ 9-lpf9zhpr9 uie x3h6zppuer moment of inertia is

Correct Answer:    

Mark Problem
16#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two uniform solid spheres have the snv h9+vmk+j8i+7y ctf5ttx1 kame mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of thn+ 9 mv8 7v5kh+i1ct+jktft xye smaller sphere is

Correct Answer:    

Mark Problem
17#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid spheres where one has twice-:m;t18a zblj b u7klq the mass and twice the diameter of the other. 8-ulbmjbk:l; 1taz q 7 The ratio of the larger moment of inertia to that of the smaller moment of inertia is

Correct Answer:    

Mark Problem
18#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A uniform solid sphere has mass M and radius R. If these mk wpwn. o6l+1v-+ +b1bprjosare increased to 2M and 3R, what happens to thow s-bpwr+v+b+161op .jn k lme sphere's moment of inertia about a central axis?

Correct Answer:    

Mark Problem
19#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  If a constant net torqdrs:( 3+l lqoiue is applied to an object, that object will

Correct Answer:    

Mark Problem
20#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The moment of inertia of a solid cylinder about its axis is given by 0.5 5ras hdw435ws bm6qx1 MR2. If this cylinder rolls without slipping, the ratio of its rotational 1shds w63q5r4mxb aw5 kinetic energy to its translational kinetic energy is

Correct Answer:    

Mark Problem
21#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a motorcycle of mass 150 kg, one wheel of which has a maio7ur*68 8-ltpnlov axl;k 0nss of 10 kg and a rad*rlv78xp a; t8nn-ku o0li lo6ius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

Correct Answer:    

Mark Problem
22#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Suppose a solid sphere)4fzy po1g 7xnn3m8wj of mass M and radius R rolls without slipping down an inclined plane st1g4n8o w)37p myj nxfzarting from rest. The linear velocity of the sphere at the bottom of the incline depends on

Correct Answer:    

Mark Problem
23#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Suppose a solid sphere of mass M and ra4i uc0wc9zxms3p j88p dius R rolls without slipping down an inclinp8czu wjs830 xm4ip 9ced plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

Correct Answer:    

Mark Problem
24#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  "The total angular momentum of a system of particles changes vk,.d3d1 d5cv b h1r*w3o qkrgwhen a net external force acts on the system." This statementqb v1 dk5w3d3o1.vr *d,hkgrc is

Correct Answer:    

Mark Problem
25#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  In what circumstances can the angular velocity of sys- :t-uxdd(xi(b0kqn)9gx lkatem of particles change withounx(:bg -i -(ukad0 qtlk9xdx) t any change in the system's angular momentum?

Correct Answer:    

Mark Problem
26#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth orbits the Sun in an ellia 7vju-ccl g+jc) v+1cczkwv( v;1(j nptical orbit. Ignore any friction which may be present. What happens ov vuc1av (v c;kn1+cwg-j7zj+(cv)ljcer time to the Earth's angular momentum about the Sun?

Correct Answer:    

Mark Problem
27#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth moves about the Sun in an elliptical orbit. As the Earth moves owlk 2y-/f h8tjd), cmclose to the Sun, then which of the following best describes the orbiting speed of the Ea2f-k 8t/jd ochyl), mwrth about the Sun?

Correct Answer:    

Mark Problem
28#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performsnt9ng3-;;o u su*tc pr a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his ang-c nou39 pn*;tsugr t;ular momentum about the axis of rotation?

Correct Answer:    

Mark Problem
29#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spin) by pulling hs ( vv;+c(h.djh0 kz3( yqdtiin his outstretched arms close to his body. What happens to qth.(hv0(jch d +z;d3 ky(isvhis rotational kinetic energy about the axis of rotation?

Correct Answer:    

Mark Problem
30#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pim:1;xi4n zxw irouette (a fast spin) by pulling in his outstretched arms close to his body. What hapmx xin4;zi1 w:pens to his moment of inertia about the axis of rotation?

Correct Answer:    

Mark Problem
31#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
State the law of conservation of angular momo:h jk1km(5lcentum.
Correct Answer:    

Mark Problem
32#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What arc length does the Earth travel in a three month y4/wo86dh /zv/nhmnx0y lg:q period in its nearly circular orbit about y4lyvng/h/ 6h8noq:xz0mwd / the Sun with a radius of $1.5 \times 10^{11} \; m$?

Correct Answer:    

Mark Problem
33#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The second hand of a clock has alo e3o8z: g:lg length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes ag gl38loz ::oend 45 seconds?

Correct Answer:    

Mark Problem
34#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many rad/s is 25 revolutions per minpvtjea 4,qw9*7vum6 rute equivalent to?

Correct Answer:    

Mark Problem
35#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates unifowv bmpz:+ wgh/gbg7e.02gga8 rmly through 2.0 revolutions in 4.0 s. What is the frequency of tmhgg 0vz pg ea8/7b2+. w:wgbghe wheel's rotation?

Correct Answer:    

Mark Problem
36#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A pulsar (a rotating neutron star) emits pulses at a fren2 (z9lva 3r-ws uyy6q dm)k(oquency of 0.40 kHz. The perq dry l2vsuy(nz)k3(aw 9m-o6iod of its rotation is

Correct Answer:    

Mark Problem
37#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A phonograph record rotates at 45 rpm. e8y.fm xcx+ tfnh0z ,4lf)l,j Through what angle does it turn in 0.20 sjfhfmc48 ,)zey0l +l,n fxx.t ?

Correct Answer:    

Mark Problem
38#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the outerjth;luaz3, eui.;) ag rim move in 3;.aja teuh l;giz,)u2.1 s?

Correct Answer:    

Mark Problem
39#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly through 2pq 5 h,(oonor3.0 revolutions in 4.0 s. What is the avn ooohp,(q3 5rerage angular speed of the wheel?

Correct Answer:    

Mark Problem
40#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly through 2.0 revolutions in 4ze 29yg/:qk)rs e)c3h oj) fnr.0 s. What is the linear speed of a point 0.10 m froqhe ):3 knoz) 9 )ys/2gcrefjrm the center of the wheel?

Correct Answer:    

Mark Problem
41#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A cable car at a ski resort carries sr kta;+w)qx,h 9 p1ehekiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotat+h)kphe, x9q1;r aewte for the cable car to make the trip in 12 minutes?

Correct Answer:    

Mark Problem
42#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of radius 1.0 m is rotating with a constant angular speed g5p95px4my p+6k peylof 2.0 rad/s. What is the linear speg5ek 45ppx9ypy6+ plmed of a point on the wheel's rim?

Correct Answer:    

Mark Problem
43#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The cutting cord on a gas-powered weed cutter is 0.16 m in length. If tq u94 -wc x+i fksyof)+ypu)m7he motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the enpc ) fs9 fy4++quky7x-w)moiu d of the cord?

Correct Answer:    

Mark Problem
44#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of radius 1.0 m is rotatip 7idg:gij49 mng with a constant angular speed of 2.0 rad/s. What is the centriped4pg97im g ij:tal acceleration of a point on the wheel's rim?

Correct Answer:    

Mark Problem
45#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the centripetal acceleration of a +qr( kbey, gzjh1y:w8point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bizbgje( rk h +w8y1q,:yke is moving 8.00 m/s?

Correct Answer:    

Mark Problem
46#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many revolutions per minute (rpm) must a circular, rotating space station (rma htw24l;-t mnc7p8oal l-c, = 1000 m) rotate to produce an artifilthm7caown-cl 2p-mt , ;8 4lacial gravity of $9.80 \; m/s^2$?

Correct Answer:    

Mark Problem
47#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A car is negotiating a flat circular curve of radius 50 m with ,zkdp6 +,8r 3gpqsckh a speed of 20 m/s. The maximum centripetal force (provided by static frictiop6rq,8ghs,pk k3+cdz n) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

Correct Answer:    

Mark Problem
48#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A car is negotiating a flat circular curve of radius 50 m wip4x)9o aptr a7th a speed of 20 m/s. The maximum centripetal force (9ap7)xarotp 4provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

Correct Answer:    

Mark Problem
49#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled around ikh,kbo o+j82u5cs 5hxn a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can thehsc 25ukobo 8,k+5hjx mass have if the string is not to break?

Correct Answer:    

Mark Problem
50#
 
Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem  
  A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without 682d sb3k5zpwrvxr v2xsx (:r slipping 10 m down ap3bsv xvx2( 5rsxd z2 w6rkr8: lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

Correct Answer:    

Mark Problem
51#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates with a constant angularc+ zj ;bgo3p3p acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

Correct Answer:    

Mark Problem
52#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates with a constant angular accelefmg8c3ez f e;:ration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

Correct Answer:    

Mark Problem
53#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many radians does a 0.300-m radius automobile tire rotate after startg5v9jxyqh sx- y4-5oy /9s fg 9e+ jr2yog-gpking from rest and accelerating at a constant angul94g oo h 9 y/5gsyxfk-jgvqye-y2gjsxr +59p- ar acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

Correct Answer:    

Mark Problem
54#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel starts at rest, and has an angular aahny(usfr yawd1 0i429 kxs5, cceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

Correct Answer:    

Mark Problem
55#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A Ferris wheel rotatinlde2,i*oo duz7 j-+ xmn*qr- kg at 20 rad/s decelerates with a constant angular acceleration* e-2- kqo,7jdlrdiz u*x+nmo of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

Correct Answer:    

Mark Problem
56#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel starts from rest and reaches an angular speed of 6.0 rad/s while turnihbtun*3 jh(, ing through 2nhjih ,t*(b u3.0 revolutions. What is the average angular acceleration of the wheel?

Correct Answer:    

Mark Problem
57#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest ovee bguazk:9o(trkd ,i 7ag44n.r a distance of 115 m. What is the total number of revolutions the wnktg (z7rie: .bg 4,9ud4oaka heel rotates in coming to rest?

Correct Answer:    

Mark Problem
58#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to q lj r+53xwq0mdi .ir4rest over a distance of 115 m. Whaq wjilm5 d r0x.4i+qr3t is the angular acceleration?

Correct Answer:    

Mark Problem
59#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest xtc6 z p;v8zf4over a distance of 115 m. How long does it take f;p zzc84v6t xfor the wheel to come to the stop?

Correct Answer:    

Mark Problem
60#
 
Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem  
  A centrifuge in a medical laboratory rotates at a rotational speed of 3600 renw 6rcms6 t0)kv/min. When switched off, it r6ct 6 wmnks)0rotates 50.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

Correct Answer:    

Mark Problem
61#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The bolts on a car wheel require tightenin z.7t bz- xss.dkj;g/sg to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force azk x7.zs j/bd-.;stgs pplied at $53^{\circ}$ to the wrench?

Correct Answer:    

Mark Problem
62#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel with moment 3j-zy xid)jy 6of inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

Correct Answer:    

Mark Problem
63#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A triatomic molecule is modeled as follows: mass m is at the origin, masf;h7/tis p7fn-w dpxn eh0mmd 0fw.7)s 2m is at x = a, and, maf-d7wd pn)fnh pf tws xh0ei./m077;mss 3m is at x = 2a. What is the moment of inertia about the origin?

Correct Answer:    

Mark Problem
64#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mass 10j: *vi.bn9 yqp kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. vq.ijy:n9 b*p A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?


Correct Answer:    

Mark Problem
65#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought fdy c*rgs8v), the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts frosdr)c ,vgy8 *fm rest?

Correct Answer:    

Mark Problem
66#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 4.00-m long rod is hin4/azrbb rvo38 ged at one end. The rod is initially held in the horizontal position, and then released as thavr/brboz 8 43e free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

Correct Answer:    

Mark Problem
67#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. Nestwh.+u 1.3k qkk 8zyqglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially tokuqkt.+3z1ks .8 qwhy a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

Correct Answer:    

Mark Problem
68#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs on a rope wrapped around a fric:gj8 me7vw*lationless disk pulley of mass 7.07 kg and radius 66.0 cm. What is theavgwe l* :m87j angular acceleration of the pulley?

Correct Answer:    

Mark Problem
69#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley 74ye7,o o uvhge(a6o jof mass 7.07 kg and radius 66.0 cm. What is the acceleration of the massegy7oo6e 4vuaj,o( h7 ?

Correct Answer:    

Mark Problem
70#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A rotating flywheel can be used to store energy. If it is reqv 0s8t4 2wqawkuired to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

Correct Answer:    

Mark Problem
71#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of moment of 5 seekwxj7 c6l90tjeyi.k0/ pinertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

Correct Answer:    

Mark Problem
72#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1.0 kg aqd9i i:77 bftph1b06 w+fttrfnd radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches+q fb:r i p07titw97ftf6bhd1 the bottom of the inclined plane?

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Mark Problem
73#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1.0 kgm3(qn9, y qmjf and radius 0.010 m rolls with a speed of 10 m/s. How high up mq,fj3 ny9(qman inclined plane can it climb before coming to rest?

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Mark Problem
74#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A hoop of radius 0.50 m and a mass of 0.20 kg is releasur /fnx(f2f n,h;as(ded from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertican ( ; an(srx2fhu/fdf,l distance of 3.0 m?

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Mark Problem
75#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping downl,( dpr **jk hrt;xox3mk *mv: a 35e incline that is 7.0 m long. Assume it st*rxtj;d mvh(kp,3*komrx *: l arted from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?
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Mark Problem
76#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An object's angular momentum changes byj.ix,b vs e evd +4keic+866cu $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

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Mark Problem
77#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

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Mark Problem
78#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater has a moment of inerhyd1p e g)q,g3tia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

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Mark Problem
79#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A figure skater rotating at 5.00 rad/s with arms extend ;ea5 axno;aw li83snp 4sop,7lf5ms1ed has a moment of inertia x;71 m58a;s sp l nn34feaaowiplo,5sof
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

Correct Answer:    

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