Is it possible for an objwbkabe d;k/g) p147guect moving with a constant speed to accelerate? Explain./ pbk4duab );7gk1egw

  Consider a particle moving with consf,fjm58 hw yy0tant speed such that its acceleration of constant magnitude is always perpendicular to its velocit5y0,jh fm wy8fy.

  An object moves in a circular path at a constant speed. Compare the directv1t56hr: vr u -nqz(*j wnp2pbion of the object's velocity and acceleration vectors.-hv1up2q6t j *(v:pnrz nbr5w

  When an object experiences uniform circular motion, the direction of the5y.geamgy3vm ezt3ud 4 3tb 02 accele3yg3. daee5 ytz3mvt40um b g2ration is

  Consider a particle moving with constant speed such zg;j x0 +d,do8q lo2zsthat its acceleration of constant magnitude is always perpendicular to its velxz2gdl0 ;oso8+ zdjq,ocity.

  What type of acceleratigm.7iq42cbnk t 4m.y von does an object moving with constant speed in a circular g .mqb4 4imt2nyk7c.vpath experience?

  What force is needed to make aic(sz34 pb o.on object move in a circle?

  When an object experiences ung)x3 d y/+dexciform circular motion, the direction of the net force yxd)gde/+c 3xis

  A roller coaster car,wwgwt el;xe(sxf o: hqr,9*qy+ am/2 is on a track that forms a circular loop in the vertical plane:a g w sq(+ txhfw;,qrelw*x2o9 /em,y. 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 point?

  A roller coaster car (mass = M) is on a track that for)dypjbj 83lxd;k4 e3dms a circular loop (radius = r) in b8jdk e3 p3;l)x4 jyddthe vertical plane. If the car is to just maintain contact 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 the; 6 t*9jbdd4 vhezwkb5n follows a semi-circular arc until it is going straight up. J;db 9hvz 5bk4etj6d*wust as the plane is at its lowest 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 cu4hdnb; pd 2iu,8jhq ol qg9:b2rve of radius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radius r at a constant speed v. Thc0qgcg :*zhwpzl; 32v en it goes around the same curve at half of the original spe;zcp* 0lv gw3hzc2: qged. What is the centripetal 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 radius r at a constant speed v. Thehb khlw;f o39b97qkr-s 7uvxc4jl.o+n it goes around a curve 7f 3u;.9v4kro7h -skl q+oxlj bb9wchof radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of ra/3wueobd 2p pa04:y podius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car fromwab pp2:u 0/ oye3d4po the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same an-/, /(f*oh qnwyfiuqggle, but one has twice the radius of the other. The safe speed (no friction needed to st/ fhwq, *i(yn- fu/oqgay on the run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is .uo p:qj7i-gt /she4wnot constant, but increases upward from the horizontal. Coming around a turn, thehj.t s4gqipu /ow :e-7 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 aroz7x(9,xxgci g -k0 ceqund a circular path to have both centripetal andxgc9xg0qz-7 i,xc(e k tangential acceleration?

  The gravitational force between two objects is proportebb- . ;c)d0ogifq*lv ional to

  The gravitational force between two objects is iof o1eq43,uopk dv*3 f(7 e*c aodn+konversely proportional to

  Two objects attract each other gravitationally. If the di y.w ckur6p//q bo9fe.stance between their centers is cut in half, the gravitati/b.fwceo p6ku q/y9r .onal force

  Two objects, with masses i6ju;tnza96x5ju*m n$m_{1}$ 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 mass-2,usnu lovfa3 - x/yees $m_{1}$ 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 uni qg;fr 5op91fuversal gravitation.

  Compared to its mass on the m:uf : *x/dsqnEarth, the mass of an object on the Moon is

  The acceleration of gr/mqkf5j,0n 3ffxk..ays 5kzk avity on the Moon is one-sixth what it is on Earth. An objectj.a f.zk5ffknym0k5 x qk3s,/ of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fr n5;p4mj gde; vo9f cc2wl: m5wgjs4*vom the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyo eq,14/d,nsaa; zx iqtnd the pull of Earth's gra nae/,4 tx1,qdizsaq;vity?

  Suppose a satellite were orbiting the Earth just above the surface. Wt4,zv 9h 310vpdvpjqohat is its ce1to h vz9v,3jpvp0qd4ntripetal acceleration?

  A hypothetical planet has a mass of hs*ttxc0sh*3sii zi) ,b8) b. uo8zcog alf that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravi zi *bsh8,3itzcc)i)b ox .08gss uot*ty on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravi 2m.l.mrr/t nsvlq o8e.pi 5q:ty on the Moon is one-sixth what it is on Earth. The radius of the.2esrml.n ip qo :mrl.t/q 58v Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the radius mlnr 1xx /*xf5u4j/m,vjr 7fpof planet A. flxx / , xm7*jrj5p nr4v1m/uf If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but 9/kzqh yz5t)k planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet q y/tkh95)zz kB?

  Consider a small satellite moving in a circular orbit (rw *lcd d;v.prok(vy--.s r,rradius r) about a sphericpy (- drv rrr,dw.k.c-vl*;s oal planet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotath*akde* ))/exwp c2js es in the same orbit. Compare the two satellite's speed)2 *ekcpd *)asewxh/j s.

  A person is standing on a scale in an elevator accelerating down mppws)2jz6u* ./krq;ccp:s64b ey ejward. Compare the reading on the sccjmc6qeu;kypj*r p2 w:4b./p)e z s6sale to the person's true weight.

  Who was the first person to realize ths2v93t lpy, uyl+d3xtk q qv9:at the planets move in elliptical paths aro93vd9,23k yvlxlsutyqq +t: pund the Sun?

  The speed of Halley's Comet, while traveling in i0 l.zn zvw(9cni0 -edhts elliptical orbit around the S e zwndch0(. -nzv0i9lun,

  Let the average orbital radius of a planet be R. Let the orbital period :q1; :azwpdwx 4bl/uq be T. What quantity is constan1w;a:zbpqq:x ld4u /w t for all planets orbiting the Sun?

  A planet is discovered to orbit arouneyt( qih.ul8 ; m*x4vdd 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, q8vlx(yh;ueit*m 4 .d what will the period of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "asdpr. o,xozk .e5,mzh :tronomical unit" (AU). An asteroid orbits the Sun in one-third of a year.:, zdko,zr.poemh5.x What is the asteroid's average distance from the Sun?

State Kepler's laws.a h8bws x(d19 m/uvq2q

  List the four fundamental forces in natu (lu7x((izf. m)xkl e6gsh7ji re.

  An object moves with a constant speed of 30 m/s on a circular track ox2 2 /mdk*ola6n h5fajf radius 150 m. What is the acceleration of the objeco6/aj a *mnk2dhf2xl 5t?

  The maximum speed around a level curve is 30.0 km/h. Wha7o e/hlon*ri 5t is the maximum speed around a curve with twice the radius? (Ai orh*5nel /o7ssume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycah6kbc ,so o7*le wheel of diameter 70 cm when the bike is moving 8.0 m/s,sb * coo7ha6k?

  A point on a wheel rotating agar;z qlp8w, 3t 5.00 rev/s is located 0.200 m from the axis. What is the czqg8p ra3,l;wentripetal acceleration?

  How many revolutions per minute must a circular, morubh ,5xo225i3 petrotating space station of radius 1000 m rotate to produxbr ph5me,2i2too u 53ce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes a,l(w.g5 wqmcuround a 13.7 m radius turn at 96.5 km/h. What is th5 uqgw,(cm .wle centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end ofda1biar o3lv-. ,dlh0-nw,lzo9pwh , a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withsow 9blln hzd10-,i.rlhw - av,3 poa,dtand is 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is atkv1us );dnl(n tached 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 adkv nn;lus)1 (t this point is given by

  A stone, of mass m, is a0go+ dx+ fpqz ;yave0tjb70:u ttached to a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times tdtv j7ya eb00++opzqxu;f 0:ghe 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 outg/ p8l1xm tni:n9v 9jn /1jhpt of the dive. What is the radius on m/pt:gh91v n/ ji8x9p jtl1nf curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center o:hu9d(lh u a4).x v)0 *z+l ucoulckysf the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only one-half of his normauc9ukhl*u)l:u.c a ho0(lys 4v+zx )dl weight. How fast is he going?

  The maximum force a pilot can stand is about seven times h98 iyph;lht) q *feyzzp c3,v0is weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speedl 3fvh8zpey,p y chzi9 ;tq*0) of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius ameoi0yi ,q1;horizontal curve with the tires on the verge of slipping. How fast can this car round a second0q io;mi1yae , curve of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 m/s. The 3xm iyrw sy8 )e(i(se5tx)-yl centripetal force provided by friction i-r3is my le )tyysx(85 (i)wxes $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve oc+ b93set+t)y d- uxzcf radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the roady)ec9cb +t3u-xstd z+ for the car to make the turn?

  A car is moving with a constant speed v around a level curve. *hnd qlg-644p lwx5qk The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of g4* pl-4xhlw dqkq6n5the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotiate a41bazpe-; see 100-m radius turnaseee z4b- 1;p at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled .2 s;p :dair, txl3zezrun 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,y h+z;jm/aq,4x: 92c3)9soo ttjnpzwe oh.u a banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked,ccj6o9rj,my hmq3ir . ;h7ww 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 horizontanl66j uh. kuv*ofjl : u6f)kxs7ed*q5l circle 6s*ueflx)hdun 6vf6 l5jk7kj.o:*u qof radius 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 uniform ratl+gqv3r2aa5/ 2med3.n vfart e to a splmt a2 v5 fna a2/+.v3qd3grreeed 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 consists of a proton of i. ij ml8c/9fzmass $1.67 \times 10^{-27} \; kg$ 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 on a 70-kg person standing.:( na10cj8ytedpn up on the Earth, due to the Moon? The mass of the Mo8utnp0(c1.a yen pjd :on is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attract)z, kyac k jor6lg6+z3y 1mt4nive force between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive forceky4y+nm )zj13ktaoz6 c6rgl, ?

  For a spacecraft going from the Earth towa2wunub2 zo it*, 7ub;*+mq gskrd the Sun, at what distance from the Earth will the nkb,2g7tu ziwo ;*ms+ uub*q2 gravitational forces due to the Sun and the Earth 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 i1c,lc5n;tyk bnz f(j4s $7.4 \times 10^{22} \; kg$ 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 "fvs , +khcgk)ff**7j i: aa6omn19efrspace-walk" at a distance above the Earth equal to the radius of the Earth. What is her f)kg+ k fo* n7e,a:hm s 9j1f*aircf6vacceleration due to gravity?

  The radius of the Earth is R. At what disty*q ;dlciln- 1ance above the Earth's surface will the acceleration of gravity be *-i1cn yqlld ;$4.9 \; m/s^2$?

  A satellite encircles Mars at a dis o ,xhctagdd a/s,qj2 xz98h3*+j;zkk tance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of thsz +jo;hxd j8za2x k d,a /hg9c,*tk3qe satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from *3hw*tkszp :5c81 swq)k g khesome planet's center, the acceleration of gravity:ew)5*g hsk3 8k1csphkqtz w * is $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surfabw7c0x-gs4p sunr z+ mix. 9*ece of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its r0s + wuc*x4s7.bpz9-nm igexweight?

  By how many newtons does the pt 2m(cua 3mu*weight of a 100-kg person change when he goes from s2u mpuca m3*t(ea level 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 point 3r aboveyx-u 443z j;pp1uhe ly the Earth's surface. What is th u13y;hy4upze 4lxpj- e satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and6*52b4bm qman)mu ceo twice its radius. If a jar of peanut butter weighs 1em*qmbu)n6bo2 ac 4 5m2 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon,5vz*0 ph ,;j8 feymtwn Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The wm8vptj, y5; f*0enhz 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 transporp11,hjz g5lpaq9r r- rted 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 circular orbit about the Earth (i.e., it just skims the s79m vuzz7zybc+/l*ct t+ xdepi+: ,e surface of the Earth). What is the speed of the satellite? (The mean + *+ts +tbpu:7c7vz /ilzd ,mee9yczxradius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular or/ tzou:l : ku81qff2oobit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? /q2o ot zu8kofu f1:l:(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 thy -3/tg: fhy+cdf06opmeus u1e Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Eartht+6hfs1/ -gumyc0 p3yo:euf d is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital , w+4+ bjg*iala3vas bdiameter 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 pw+wezt ;1mz -mlanet with 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 ctehwx;v95b/ circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 day;vce w95hbt/ xs to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter i 0.yxv s (8vovi/luqmfo8m0,v s $7.78 \times 10^{11} \; m$ 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 orbit the Sun once. What is the avek;p4 md ,i w 5j nom+hha-) hvvy,2dn2k26oxoqrage distance from Jupiter to the Sun? (The distance from the Earth to the Suvm+2 h2mnojx)p2hvnyo6- d oa ,k,4idwkh5q;n is $1.5 \times 10^{11} \; m$.)