Is it possible for an object bp0hap-1 z7dg moving with a constant speed to accelerate? Explain.7 zg0 -1dhpapb

  Consider a particle moving with co1 jpanzb-g epm4e f5wl1,m-sy eq ,x+-nstant speed such that its acceleration of constant magnitude is always perpendicular to its velocif ,+e-m4l-p5jq1npaz-e, m1 sgw ybexty.

  An object moves in a circular path at a constant speeq jmz rybg6f7,g)u6 1ze,q 5hpd. Compare the direction of the object's velocityu6)z, g6b 7 y5mzj 1qp,erfqhg and acceleration vectors.

  When an object experiences un5u*way4 hqg;fm:hh , z)4ejxdiform circular motion, the direction of the acceleratiog4y; )w4j q,ehx h:z5h*fdmuan is

  Consider a particle moving with constant speer5pe20yu ywps uba,5((i5x iyd such that its acceleration of consw5x(r0 u5ubpiepy5 ( sy 2,iaytant magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a circula5zku;) r5v xva9s4 tdfr ur k 9vv)zf 5sa4x5t;dpath experience?

  What force is needed to make an object move in a cir:.gdh:dsdu, xcle?

  When an object experiences uniform circular motion, the direction of the net fx (bvgdb9,3j5lbq qb,orce i 9jbxgbb (, 3v,bqqd5ls

  A roller coaster car is on a track that for) c.kt kib1-fb;lp5q/3nii f tms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this pobin -kqfi/ t3 ;ktlbp)icf.15int?

  A roller coaster car (mass = M) is on a track 644msab g n0ljd 7i;li*qphb; that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain con pg i40i7l;4md*h s6 jq;abblntact with the track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc unti/ulcm(jse + *hl it is going straight up. Just as the plane is at its lowe+hsum*l(ec/ j st point, the force on him is

  A coin of mass $m$ rests on a turntable a distance $r$ from the axis of rotation. The turntable rotates with a frequency of $f$. What is the minimum coefficient of static friction between the turntable and the coin if the coin is not to slip?

  A car goes around a curve of 69vis(*0 c*ug p5yrb-df eoptradius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curveq 62r:j;ovnp 1mpr*st of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetp6:s nv 1rmt;2rjo *pqal force on the car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curve of r0 e4pdo*c6wya adius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripwo4 ap6yde*c0etal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes arounavika 6i hhc0 :r/x3ztnv.ex3)3q5hsd a banked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the cuihra3hx3) ea03zs.xc:/ knqvv t 6hi 5rve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled ruu (xothx );5nen are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius (xonhtu; 5)xecurve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on thejkjsxpal2w hq7* 7k,8zk n8.p Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turnhn7kq*x j.,8z 2 pjpwk kl8as7, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both centripiavr5zd/7c o 3c hc6*/wnwi9 zetal and tangential ra67iindcw/9 5* zo3cw/vh zcacceleration?

  The gravitational force between two objects -gs bwt5k.vi9s u q/qe3k4:4utaof 8t is proportional to

  The gravitational force between two objects is inversely proportionaeawwevw18,x * -m+cqel to

  Two objects attract each other gravitationally. If the distance betweppj1w0v+or fd 0nlt+9en their centers is cut in +rn01lp0 vopjwtdf9+ half, the gravitational force

  Two objects, with map f ijb 6y 13xax9.i+ne)9oo*vg vizf6(wqjk3sses $m_{1}$ and $m_{2}$, are originally a distance r apart. The gravitational force between them has magnitude F. The second object has its mass changed to 2$m_{2}$, and the distance is changed to r/4. What is the magnitude of the new gravitational force?

  Two objects, with massep.mek**t bv fhqp 5t;5m o24hns $m_{1}$ and $m_{2}$, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2$m_{1}$ and 2$m_{2}$, and the distance is changed to 4r. What is the magnitude of the new gravitational force?

State Newton's law of universal graf zo75 txhs;p;vitation.

  Compared to its mass on the Earth, the mass of an objkx2yom+65t;fqd57tja 7 0 5vklolro zect on the Moon is

  The acceleration of gravi +( .5 lafzj3ef-jpygtty on the Moon is one-sixth what it is on Earth. An obje z+ lg (eapyf.tj3j-f5ct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, t(k7b zk)x * cyz-dy9rgrlk /8mhe rocket's weight

  A spaceship is traveling to the Moon. At what pois/25g b -7e+8f(h:jrnk o )hhfisbklont is it beyond the pull of Eart j:kb2ksohhl niobr5+)hf8se7 (/fg- h's gravity?

  Suppose a satellite were orbiting the Earth just above.mm)wc:y(r ks wg:-of the surface. What is its centripetal acymm :)rkc-.w o(g :wfsceleration?

  A hypothetical planet has a massrq 89jei,2jqqifmrelhi9 0 b)h 3 6hd7 of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity ondih9l jq irj80h3 mi,qb9q e7fhe62)r the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is o;vae, lmm,fs+ne-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moonla,esm+v, ;f m's mass compared to the Earth's?

  Two planets have the suk:wj1 4tv( s y36idu,yw bvo1ame surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of y1sjuw6(u4d1,wov3ki :tb vy planet B?

  Two planets have the same surface gravity, but planet B has twice the masc k(9plask x: ob5sc/7s of planet A. If planet A has radius r, what is the rsl5 pka ks/cb97cx :(oadius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphergx .-wir6wcq me1 9p8kical planet (mas - kwgpqr9wm xc16i.8es M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotagh m7-sw7of/t;eh/ u btes in the same orbit. Compare the twofoheg-/h7bswu ;m t7 / satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. /(p 6fm5pyt-uug w ww9Compare thupw6m/yw( 5t9-up wfge reading on the scale to the person's true weight.

  Who was the first person to realize that the plt:7h hw-dt5j.uelly t f02qg*anets move in elliptical paths around theu0h*l7.tlqtfg:y2 -d5tejh w Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit 7 c:vkjo ,hm9,bei;g caround the Sun,j;vmo eickgch9,,:b7

  Let the average orbital radius of a planet be R. Let the orbitakhciy(+)2hk dl period be T. What quantity is constant for all plaik2h(cy k)d+ hnets orbiting the Sun?

  A planet is discovered to orbi/t c)-5oy)jk3sh; qzpar*)b4hp be xj t around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, comparedpst h/h3br ea5jpkox-*y)c ) ; zb)jq4 to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astrowr4uhe0d 9cr o yz0n(rhr4p:1nomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the as yrnhrrwp1 09c4e0(o:h zu4rdteroid's average distance from the Sun?

State Kepler's laws. a ; -opx71em+lpkcv:x:.b n5 mf-hqoh

  List the four fundamoeiap tr*s4ki(3cd9 0ental forces in nature.

  An object moves with a constant speed of 30 m/s on a circular trackx5wet;cgn ;d 8 of radius 150 m. What is the acceleration gned8;wx 5;c tof the object?

  The maximum speed around a levr 79:cm6lx3 zfbdxih( el curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Asflxm r xb9hzdi6c:(37sume all other factors remain unchanged.)

  What is the centripetrffv.1u 2f 7qral acceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is mo 2r1vrf f7.uqfving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.2o(:w9 qrck7z3 lwp a,c00 m from the axis. What is the centripez cl7w, kq9:awpco (r3tal acceleration?

  How many revolutions per minute must a circular, rotating space skdhr8 /va-fb2h; qkd8 tation of radius 1000 m rotate to pr;2hdr8dvq8kb f a/-h koduce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. Ih 3ew,df 0tao3t goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal forcefd, a3ew3to0h on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirly s 2gls3rxj 7gwif61g 3fs))1 x:iyiyed ii1)6fyx7siy2:y jwg 13x3g i )lssfgrn a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached eh36i(5b7d(mi elk4gi zfam8 to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is give4b(75miae8(k hdli36z fimeg n by

  A stone, of mass m, is attacs0.)n exb4 snched to a strong string and whirled in a vertical circle of radius r. At the en 0 .s)nbexsc4xact bottom of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out of43p orlc-u r )nid+c;xozps*2 the dive. What is the radiu u3r*rnlc4szppox)ci2+;do - s of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which thv ut31wk04wj2.ept pb (kv4xm e center of the loop is beneath him) of radius1 0b2ww ke 4tu4p.jxpt3kvvm( 3200 m. At the top of his loop he is pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a piloa1npzq*7ek/ sb ju7bl2v:aq/t can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a spqk/7 /eq aalpznu7b*j1b2:s v eed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radvg3r *q:8;xsnf2rmx 2r; orybius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road rf82;r3ny2 * gmsrbxrq;:vx osurface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 m/s.mnsk u84g06r qydb3 j2 The centr2j 8gyu6 mqnbdrk40s3ipetal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat c8cia0n6j p.eaurve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the 68ci naa pj0.eturn?

  A car is moving with a constant speed v around a level curve. The co(dqtu 1ky, fv7efficient of friction betkqfut y,v7(1dween the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to nex m f; x;+ .f30vxrcd*vxii d,/)uwvhbgotiate a 100-m radius turn at 35 m/s without skiddx)r3xdvc /.iwx+;*du;hv0bm fxvi ,fing? (Ignore friction.)

  A horizontal curve on a bobsled r l2f:p(ev/pt zun is banked at a $45^{\circ}$ angle. When a bobsled rounds this curve at the curve's safe speed (no friction needed to stay on the run), what is its centripetal acceleration?

  A frictionless curve of radius 100 m, banked at m*ja7zru6ql-dc0f9 xq4cd( j an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bq:5y,0bj; ksh lzm;cbanked at $45^{\circ}$. Suppose that an ice storm hits, and the curve is effectively frictionless. What is the safe speed with which to take the curve without either sliding up or down?

  A 175-kg ball on the end of a string is revolving uniformly in a horizontalwu voot5s41)a6uwa 4mm*f:6vbag9pn circle of radpmbav9v54t:gu 6mu *a6oawf1s w4n)o ius 0.500
m. The ball makes 2.00 revolutions in a second. (only fill in numerial value in the blanks)
(a) Determine the speed of the ball.    $m/s$
(b) Determine the ball's centripetal acceleration.    $m/s^2$
(c) Determine the force a person must exert on opposite end of the string.    $N$

  Starting from rest in the pit area, a race car accelerates at a uniform1gja e -pwu);m rate to a speedp ) u-1ajegw;m of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in the blanks)
(a) Calculate the tangential acceleration.    $m/s^2$
(b) Calculate the radial acceleration when the instantaneous speed is equal to 30 m/s.    $m/s^2$

  The hydrogen atom consisdi :k0i ( n,o 30 hx6h:cth.cni8lsz-ka8ij jmts of a proton of mass $1.67 \times 10^{-27} \; kg$ and an orbiting electron of mass $9.11 \times 10^{-31} \; kg$. In one of its orbits, the electron is $5.3 \times 10^{-11} \; m$ from the proton. What is the mutual attractive force between the electron and proton?

  What is the gravitational force 40 xiltx)oanrw4r6d.dv s/w 7 on a 70-kg person standing on the Earth, due to the Moon? The mass of the Moo 70)oir td sdnrx4w 6.xl4awv/n is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F. If the masseh 5k55zqi)s sv::zvets are moved to half of their initial distance,v kqzv5): 5z:hisst 5e what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance fr144w,m cfwa ikom the Earth will the gravitational forces due to the Sun and the Earth aw1kci4 w 4fm,cancel?
Earth's mass: Me = $5.98 \times 10^{24} \; kg$ the Sun's mass: Ms = $1.99 \times 10^{30} \; kg$
Earth-Sun distance: r = $1.50 \times 10^{11} \; m$

  The mass of the Moon icm1;btavq x b*hlt*ha g4...is $7.4 \times 10^{22} \; kg$ and its mean radius is $1.75 \times 10^{3} \; km$. What is the acceleration due to gravity at the surface of the Moon?

  An astronaut goes out for a+ne5 k lg, 3+1dzb7*gabia2-p hsuzhybs2,h a "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due to gravi2 lazgk g2bdy sae-*uahbhbp+3h ,1 57iz+n,sty?

  The radius of the Earth is R. At what distance above the Earth's surfmo 3ps-p, zh6face will the acceleration of gravit6 h-pf,mzs 3poy be $4.9 \; m/s^2$?

  A satellite encircles Maizwg6+(r/tq1 vf y;eurs at a distance above its surface equal to 3 times the radius of Mars. The accy t / 6v(+qwuig1rez;feleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acxqc6 i07igdlb3 +.qy mceleration of gravity ql.iyi7qx 3+60mgd bcis $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface of the Earth. The Earth has radba4knkgi9a 87 ius r. If the object is rais7giba9kn k8a 4ed to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the w nojwznxqq8*)*b gz0o9p6fn uk0+ fy5eight of a 100-kg person change when he goes from sea le+bfg)kzoy wx0u nq968j p*5nqn*zof0vel to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a*:j ddcm+f-z d point 3r above the Earth's surface. What is the satellite's wej-dm d+fz*:dc ight?

  A spherically symmetric planet has four times the cd4w)9o/ ured *q lp(hrom6ols 2;6ndEarth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Eartwnrls l6o cmr 92*;d)(u o/odq4 hde6ph, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on j-pox0poj, 8d the same line, with the Earth between the Moojxd j8pp0oo, -n and the Sun. The Moon has a mass of $7.36 \times 10^{22} \; kg$; the Earth has a mass of $5.98 \times 10^{24} \; kg$; and the Sun has a mass of $1.99 \times 10^{30} \; kg$. The separation between the Moon and the Earth is given by $3.84 \times 10^{8} \; m$; the separation between the Earth and the Sun is given by $1.496 \times 10^{11} \; m$.
(a) Calculate the force exerted on the Earth by the Moon, its magnitude is    $\times 10^{20} \; N$, its direction is  ----待选择----towardsaway from  the moon.
(b) Calculate the force exerted on the Earth by the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.
(c) Calculate the net force exerted on the Earth by the Moon and the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.

  A 2.10-kg brass ball is transporae uj:z3fa p/ ttf0et:vf)g52ted to the Moon.
(a) Calculate the acceleration due to gravity on the Moon.    $m/s^2$ (The radius of the Moon is $1.74 \times 10^{6} \; m$ and the mass of the Moon is $7.35 \times 10^{22} \; kg$)
(b) Determine the mass of the brass ball on the Earth    $kg$ and on the Moon    $kg$
(c) Determine the weight of the brass ball on the Earth    $N$
(d) Determine the weight of the brass ball on the Moon    $N$

  A satellite is in a low circula-fh (kc ,s3ftlr orbit about the Earth (i.e., it just skims the surface of the Earth). What is the 3,clt- hfs f(kspeed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earttx4da 5 hu7v9c5a* yamh (i.e., it just skims the surface of the Earth). How long does it take to make onv x4tauh m9*ad5a7cy 5e revolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. It is o6 .yl y)jmq3oy/ag4ws bserved to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Earth iws/g64ym 3.yq ) oajlys $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital d ozhb wdl0n0eb6r49+avmb +6s iameter of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the planet witb )perz luvaq w7.c 2kgks-bvx;/ r4/6h a radius of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in nearly circular orbits. Moon A has orbital radiusqeu dy(v).s3x4lmvd; ;jkf o- r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B ( kej sqo.u3d);vl fdxy-;v4m to complete an orbit?

  The planet Jupiter is qxp(4+cqqdx.vue: gk0:rg7 h $7.78 \times 10^{11} \; m$ from the Sun. How long does it take for Jupiter to orbit once about the Sun? (The distance from the Earth to the Sun is $1.50 \times 10^{11} \; m$.)

  It takes the planet Jupiter 12 years to orbita) p+4ohi-qu n the Sun once. What is the average distance from Jupiter to n i+4 a-h)oqputhe Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)