Is it possible for an object moving with a constant speed to accel / 8qund1 wm-k3i /evchq+xfo5erate? Explain.dqhf -qm/3 +8e1n xi vcuo/5kw

  Consider a particle movi cw1 s5kl .qtz7tu:1s jw:zjv.ng with constant speed such that its acceleration of constant magnitude is always perpendicular to its ve7:1jqlswvtjzk.:c5z1w t u s .locity.

  An object moves in ay.+our57 qemnu8xf l1;nv2c u circular path at a constant speed. Compare the direction of the object's velocity and a u m82nxe+ .cqo75u yvn;1ulfrcceleration vectors.

  When an object experiences uniform circular motion, the direction of2- fv snhx 5 +qlgklkq2bo:z i8ez) n(q4l8l8b the acceleratiol2(el8 xi :nzbnqf)lbvkl258 sqhqz8+k -4 ogn is

  Consider a particle moving with constant speed such t g(,las- 4 bfcj-a6lvcko1 3johat its acceleration of constant m( c f6-a,vb o3cjlso1-jgk4laagnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with consta0oa97vf d*bm mnt speed in a circular pmmo 7b9fav* d0ath experience?

  What force is needed to make an objec v*psb))f4wxn 8g/fbot move in a circle?

  When an object experiences uniformhrmvd: ;mx 2c8 circular motion, the direction of the net force isc; rh :mdm82vx

  A roller coaster car is on a track that forms a circular loop in the verir l.ws8h u-k2tical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centuwhr s .k-il82ripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a cird8(me9 xc cze t8r1*encular loop (radius = r) in the vertical plane. Ifrx9demn8e(*1ztec 8 c 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 then follows a se-hqf( /0q 7qooogfnw99 gn0azmi-circular arc until it is going straight up. Just as t0q0fgfq/oo9w (nghn -7o q9 zahe 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 curve (muyfb0f * zrdav-7ut., ,giw 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 c4nh4kx: t+th qonstant speed v. Then it goes around the same curve at haxt4tkn :+q 4hhlf of the original speed. 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 radi 6m6h2c lh/-c7wcdvh ig ct:-uus r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the cehc2h mgui/d 6cvw -6c-: htcl7ntripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked ci p8go n21c/fti*6wc lurve of radius r with speed v. If the road is frictionless due to ice, the car can still negiw2ccpo /8*ig 1nf 6ltotiate the curve 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 run aqlt66 a cke6)d:xgr;4 opif7y re 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 curve is v. What gxo6 4rt7 6q;) ycl ip6f:dkeais the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constant, bu k 5lwu(*n-tnxt increases upward from the horizontal. Coming around a turn, the bon5k l(*xnu-t wbsled 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 )yrh5ge u: 3e6x3xp dxt7nip/both centripetal r ygt)up7n3px/ e5xi 6d3x:heand tangential acceleration?

  The gravitational force between two objw *6x8*f /v3vw ff5 eartrn;)luwne8hects is proportional to

  The gravitational force between two objects is inversely propo j /9vrxmx:urrluj9dp 7+oa2,ifr q3 )rtional to

  Two objects attract eachwpw:96ih whcgm4u sf 79pj8lxfo,++t other gravitationally. If the distance between their centers is cut in half, the gravitational for9h+ ft jww89chf ,7om:gp6w+x4psu lice

  Two objects, with mass9ko(2 fu )7j2v*n a4tc fyzqnces $m_{1}$ 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 masses )eyrvw:x4:jh0iz zz+08q krh $m_{1}$ 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 u7jm9-bwc a:8 x3vuoq tniversal gravitation.

  Compared to its mass on the Earth, the masj8r(keq)jz50u sak .y s of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. z g0i4(.0hx 3cxdnci wAn objiz0h4c x(0g .inx3dc wect of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Ea s6dmi2;v8 bmrrth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyondwth672z 5e xfa1ia 0m0aq*.artt5 bj w the pull of Earth's6aeaxf2h0w5. 5 wi tjmb*17 q0azar tt gravity?

  Suppose a satellite were orbiting the Earth just above the surface.-wo yg1xx8z )ov ds.u* What is its centripetal acce1*zus) -ow8go xy d.vxleration?

  A hypothetical planet has a mass of half that of the Earth and f/l 9szyo-hn/,cl c j4a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, t-j4o/ z,l flnys9cch/ he acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Eahrkag1d2 m6q8nk5 bwn212vlrrth. The radiu2 52 w 81qka1rkvghrn6bn 2dmls of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have theqwm 24eqh8l 2slo: tn- same surface gravity, but planet B has twice the radius of plan :wso8l2he4mn 2q-tq let A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surf -uno ,vl9lv0yohsi11ace gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of plan-1s19vin,o uhllvy0 o et B?

  Consider a small satellite moving in a circular orbit (radius r) ate9 orv+b ,jk0bout a spherical planet (masv+o, 0tjrebk 9s M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rota/ egkskh4 kl1kpb2h5 +tes in the same orbit. Compare the two satp h k/e+4l2bkkh1sk5gellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. r,rx 6ft5zcpo4 ;p hs- Compare the reading on the o-tsprc,; h6fpxz54r scale to the person's true weight.

  Who was the first persombc,/k x ls5/j6jc)2wwnm. azn to realize that the planets move in elliptical paths aroc.x2 ajzm,) wsm njwcb 5k/l/6und the Sun?

  The speed of Halley's Comet, while traveling in its ell nk/e: vqivv10iptical orbit around the Si:q1n0 kv/vve un,

  Let the average orbital radius of a planet be R. Let the orbital pers-ta42cyr uft o5e9;kj:e wqg fp9 1w*iod be T. What quantity is constant for all planets ok9jt;go 9cu2p:q14 r*f-etys ewwf5arbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromz-c 0ol4idvr9, (*hfqb j+jybeda, with the same orbital diameter as the Earth around our Sun. 9(i +jbvqhz o-,b*4 crd0jylfIf that star has 4 times the mass of our Sun, 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 8f9-v.q pb+olkvma4 v as one "astronomical unit" (AU). An asteroid orbits the Sun iva9lo-8f.+v4bm pvk q n one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. kk(ygv( yar)4

  List the four fundamental fo:i6a/xjs 2waih:op 3wrces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radius 15:mit ; uwlo6xdz8 xwsrep ;-150 m. What is the accel8d; :lp6r5ow1;- ue stzwmixxeration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum e. fd:2yxha5,hi zn-v a3 mxr.speed around a curve with twice the radius? (Assume all other factors re:,hv2xxhdaia5.3 m . nfzy-ermain unchanged.)

  What is the centripetal acceleration of a point on the pn8)b1h sedikrm r+ 72perimeter of a bicycle wheel of r 81 p2hdbes7n) +ikmrdiameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axis. Whblgwkd,za iy.a9zs2q 0mz729at is the centripetal 72waq , z9m.bzd sa ziylk092gacceleration?

  How many revolutions per minute must a circuy-ar7 gx l0e7 o+jsux7yp4 5silar, rotating space station of radius 1000 m rotate to produce an artificial gravity oa y 7lgx05ieprx jussy74o+-7f $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goesjiwjd b qj zzjq/79255 around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcy5 ibjj 7z /92jqzdqjw5cle?

  A 0.50-kg mass is attached to the end oph88 onqz 6w51ki7krkf a 1.0-m string. The system is whirled in a horizontal circular path. If the maxqk86p81 5rk wokiz7nh imum 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 to a strong stri/f7n 1w b:j qhy1ft1gung and whirled in a vertical circle of radius r. At the exact top of the path the tens 1f:uhfj7bq1/t ny1gw ion in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to ,utxp :sxui9k-u(em9a strong string and whirled in a vertical circle of radius rm9e,9 txui:- skup (ux. At the exact 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 experiefdyn-/ ryfw*jc 7n3c3 nces an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is flying 7/cj* cynfdyfrw3n 3-?

  A pilot makes an outside vertical loop (in which t9g s9l -olf.szn5l t1 p(eecf,he center of the loop is beneath him) of radius 3200 m. At the top of hfnt1lsesofz 9l -95, e.cp(lg is 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 pilot can stand is about seven timngjq5- qj9a b jx-5t6wes his weight. What is the minimum radius of curvature thtj95w-a q6jj 5nbq xg-at a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radiu3hjl5i;x d f vh53abf:s 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 coeffibh hlaf5iv;d33 5: fjxcient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a spee brkutml--ea0f,( xacqq2 * y(d of 20 m/s. The centripetal force p ay2q0(r x-ac ,k t(*e-qfmulbrovided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat sok op98 ,de(nn/w rr6curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient r6s,e( p/ ro8kw n9odnof friction between the tires and the road for the car to make the turn?

  A car is moving with a consta,lc j 5b2bxf/ppooxi(m8:4 zipx5 9yt;g0rpant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40.x28:opj45; p/(mp9zx a5bfibrx, o 0pilctgy 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 Ol,e8*v *p5a *zwx u+kkpiq+ndy ympic bobsled to negotiate a 100-m radius turn at 35 m/s z8 vpeyix +a**k* +p5qwkd,n uwithout skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banke9v u a .c; q/htbewuj2:;bywgfdt++9u d 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 atvm.er,tpk9 i - an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankeul eo.0pxlpgo:ja/i-md3vy . /1 f+yqd 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 i abmul9t9c;w -n a horizontal circle of radius 0mcta 9-b9uw; l.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 the4rnvmh0kv(euf 0/w 4 y pit area, a race car accelerates at a uniform rate to a speem4/ 0 0kfnrw(e yvhvu4d 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 m 0ev8rhj,ipu po5( 0gsass $1.67 \times 10^{-27} \; kg$ 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 y+ss0jhq)wl+on a 70-kg person standing on the Earth, due to the Moon? The mass of the +qy s sh+lw)j0Moon 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. 5wlv ,st6k ot1If the masses are moved to half of their initial distance, whatswvo ,1kl 5t6t is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at ww e ule: r1 z,ekm;1iss22d tm(quw13that distance from the Earth will the gmu,st22wte3; 1 i1sk1e( l:q wezdm urravitational 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 0sly1- uo0.2g2m nctmybbpcx q0nk(4is $7.4 \times 10^{22} \; kg$ 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 "space-walk" at a distarj7do+sko(m z2k8izaz7dz 4 55 j:zaonce above the Earth equal to thea 4zzzmridk:zjk+ 7 ooj5d78oza52 s( radius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface will swhm 2pzi4 axk8w8dsr1;y8 n1 tk8p 1;s42xm yrz 81dnwa8hwishe acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a dis*r84z om avng1tance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gr4 m*8gnao1 vzravity on the surface of Mars, is

  At a distance of 14000 km from some plaz,wxv9r,y e)sql ,6 rvs70 fianet's center, the acceleration of gravity is 7qfr0xzys,l6v,9i aw )e vs r,$32 \; m/s^2$. 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 radius r. 1ky/,um0smamgr:a/w If the object is raised to ra1sw/yg m/,uamk0:ma height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person+;o cfqboy5 si5y-k,k change when he goes from sea level to an altitude of 5000 m? (The mean radius of theo+b,i; o fy5yk 5c-kqs Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg uexm+a22 /zoy is at a point 3r above the Earth's surface. What is x+ae2o uyz2/m the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice its rtv//r.i9we2)fs d wk jadius. Idv kw.jrw)t/e/s2f9 if a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie e 2rw4oqowc:* gn z:ywm::zo 9on the same line, with the Earth between the Moon and the Sun. The Moon has a z :o*wm4:ncw:qz2ry: oogw9 emass 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 transported to th1h ij qaf/ ewrwwzwf; h:dpc).j9uh35)wl. h) e 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 orbxqi5 pb0)pli lyfr58 1qy j+j9it about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Earth is 5qj85l+rxylpy b 1jq i)pf9i0$6.38 \times 10^{6} \; m$.)

  A satellite is in a low cirqfz*;uh rf2x 82os w0jcular orbit 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? (The mean radius of the Earthu2xf8shqjz*f ;w02ro is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km a hv)2ybsh;x.en9j.t yqe.f5w bove the surface of the Earth. It is observed to have a period oqs9hv tfj5 2yn)e;.x. w .behyf 89 min. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupite *8f-cqcdnpx dud 11l*r, has an orbital diameter 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 withj*gx g)1uuoc) 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 orbitax .hwns+1pud)d dx,1n l radius r, and moon B has orbital rads, nxud+11dx nwp)d.h ius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isao-z p2)l ivs5 $7.78 \times 10^{11} \; m$ 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 onc9eno0 ut6h6.k t tbj4ge. What is the average distance ut g4 j 0tke6b6oh9n.tfrom Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)