Is it possible for an object moving with a constant speed to d2+0k 7mkxkab:u wd /kaccelerate? Explain.d/k 7u k bkdxaw:+k20m

  Consider a particle moving with constant21lc9tgy0qvh( fw ,gy speed such that its acceleration of constant magnitude i wg ctg(qf90 ,v1hy2yls always perpendicular to its velocity.

  An object moves in a cir0;ye : u )(arugxp2hmgcular path at a constant speed. Compare the direction ofu:;arygh(gu )em0x p 2 the object's velocity and acceleration vectors.

  When an object experiences 4*h;4h5fch b:zjnjsl uniform circular motion, the direction of the acceleratnzs4: j j;4h5hcl hfb*ion is

  Consider a particle xlf 14-byq da6moving with constant speed such that its acceleration of constant magnitude l 41y-ad6xfqbis always perpendicular to its velocity.

  What type of acceleration does 6tq s-nd7; mcian object moving with constant speed in a circular path qnt7 m6 dc-i;sexperience?

  What force is needed to make an object move in a 02s)fet/h0o wipqu6x5sq8bu b xe38 a circle?

  When an object experiences uniform circular motion, the direction oee pkc) 7)yu/f8it oqb7av4m 5f the net fort4 bpe m5av uf87qcy7oe))ik/ce is

  A roller coaster car i (u5uutw 7-xgos on a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the tw(u- ox7 ugut5op of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass prh7wz rg-le23hk/(z= M) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the loop, what is the minimum zlgker/hh- 7p 2(wrz3value for its speed at that point?

  A pilot executes a verticae:z deyqv i51s/g,6. ivqfd-nl dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the for ,. / edgv5 z:ef6svqdiyniq1-ce 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 o,nlum *ps82hkkdee1 1.aq1gcyndx 5sc0i . n+f 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. Then it nb .c/ds+me+nd.o(l fq:nb a 8goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for the second time, compared to +q .b(mflo+ bn dnscn.8: de/athe first time?

  A car goes around a curve of radius r at a constant speeda4i-lb b+-zr-a))vebw, uwbf v. Then it goes around a curve of radiuslr fibz-,a-we ))bu avw-+bb4 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 radius r with speed v. v ct59fez )5frIf the road is frictionless due to ice, the car can sti ze5v)cfrt5 9fll negotiate 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 -ydppv++ 7 v*8jup0 qbf qpnc*bobsled run 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 curve is v. What is thpqvfpjd v7-+p*q+y *nupb8 0ce safe speed on the larger radius curve?

  The banking angle in a tur(q xt*mp/9ztnh8. u4rvyt 4mon on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a t p4zuvry 8t/ht oqm9tx4.*nm (urn, 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 cenpkuq :n)veo hx7: 1og6tripetal and tango pkv e7 1nhgqx):6ou:ential acceleration?

  The gravitational force betwel l x() xy9-dyax7(fxfen two objects is proportional to

  The gravitational force between two objects is inversely proportional tox+e rn 2w5br;c

  Two objects attract each other gravitationally.v4x lq5 g,a 9oc8idq2qrmfd9 .+;qkmg If the distance between their centers i4a; km2crf9,o9qidlv x .q8 qdg+ m5gqs cut in half, the gravitational force

  Two objects, with man8j,8 2n-ea qhpnb l9msses $m_{1}$ 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 massx 7n kw9x/k8opes $m_{1}$ 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 gravitatxpn.qa x 9-,pq)y yt7iion.

  Compared to its mass on the Earth, the mass of an objec-lklb: mwu97at on the Moon is

  The acceleration of gravity on the Moon .0o,4 fmfyeswis one-sixth what it is on Earth. An object of mmefo f0w,y4.sass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weigh;g*fy90+2mk8e dnnom 5quu lot

  A spaceship is traveling to the Moon. At what point is it beyond the p+v;.7 m tm;hhs+al ga2 tt1pplull of Earth's gravity ;vatlgph ;tm+h.1la p+7 stm2?

  Suppose a satellite bbkw 3+i q 16dzmr2v87rv7ogiwere orbiting the Earth just above the surface. What is its centrdqr+8bmk v o7zwv6 g17i2b3iripetal acceleration?

  A hypothetical planet has a mass of half that of thesidr*1r- qwy qf. kj0+ Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the accele kwyr+qr .f0 s*-q1djiration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth nki(l 8 ub(g cv0g0urbitb8-/ what it is on Earth. The radius 0 b/ur-g tikbc viu8 (l0g(nb8of the 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 gra21.fch9qwy; ,df.d/ e n/hhiqtz ig e1vity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass eh /f,q ;d1z.cihny/e291.iwgdqh tf of planet B?

  Two planets have the same surface grg8wp-an5 as5baglxr)z( 64x b avity, but planet B has twice the mass of planet A. gp4a sxgab-l(w56n 85zr b )xa If planet A has radius r, what is the radius of planet B?

  Consider a small satellite movin 5pj5.v +e()kb m*uijungiug( g in a circular orbit (radius r) about a spherical planet (mass M). Which expression giveskieg5b5*j u(+m()igvupujn. this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the sa;)a2f) st22uwtscjvn r vs; 1qme orbit. Compare the ts;scrnv)qvw;2tuf2 a 1jst )2wo satellite's speeds.

  A person is standing on-jm/gmq 3qa,xp(bei;e dv /d 7 a scale in an elevator accelerating downward. Compare the reading on the scale to the person's true weig q,ede bqjp(va 7;g/ idmxm3-/ht.

  Who was the first person to 0kuvedu *fv*/ realize that the planets move in elliptical paths ar*0du vk*evuf /ound the Sun?

  The speed of Halley's Comet, whi-y4/--psdltujv:ma8f * tcg c le traveling in its elliptical orbit around the Scl4/-suvm afpt* t8 g-jdyc:-un,

  Let the average orbital radius of a planet be R. Let the orbital periodr9w 58mt +opcl be T. What quantity is constant for all planets orbiting the S5w+cpt l r8o9mun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, x.xzo/vy f/2a a -8aoqwith 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 b8/oo/aaxzyx.q f- a2v e, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "a )a; uxg wh7xh+ wiewz:8n+gb6stronomical unit" (AU). An asteroid orbits the Sun in one-third ofna gwwixh+w)h8x+ e;ub z7g:6 a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.-6+satz pn(p rifk(mqo2( q.m

  List the four fundamental forces irbd3b 9i 9.ofpn nature.

  An object moves with a constant speed 3xwn:(cq0 lgm of 30 m/s on a circular track of radius 150 m. What is the acceleration of ql:m c xn3w0(gthe object?

  The maximum speed aro mu0: fd1,i6t8s ;d7s;q :j,xbptervnif (iugund a level curve is 30.0 km/h. What is the maximum speed around a ; sptui6:(f80q: 1 dsu7ixb; ,vnej, gfrm ditcurve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleratei6 qf jxo u+df:8v..xion of a point on the perimeter of a bicycle wheel of diameter 70 cm when the x: d6fovu8. fij. qe+xbike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from sa d k6s:d3*fdthe axis. What is thf:ka36* ddss de centripetal acceleration?

  How many revolutions per minute must a circular, rotating space station of 0ob81i a 6z2i gha3nsoru()mxradius 1000 m rotate to produce an artificia8on)ba63somg0r (ui1i zx h 2al gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn u9+m qw/m ehskmf z)qc*i-. 2cat 96.5 km/h. What. zh+mcf*sum /-)q2wice 9 mkq is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to thee) 7f+a vwiep5t59je s end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximu7 +i5)ej5es wav tpef9m speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong strinpue-jj -4+l iug 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. Tu4lj +pj--uie he stone's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a vertical nki)x5l5pa4w *wbo7bcircle of radius r. At the exact bottom of the path the tension in theo*lkw45b5 7n aipb wx) 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 47n0bocg39hc i8 sch 8pg when pulling out of the dive. What is tho 039s8chpnh8gcb i 7ce radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the lt b q2,/xjt)agh c+0iezt::b foop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat)gb xiatthjz e cq t/:,2b0:+f with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about; :5synrt m8fck+dd.n 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 s n.nc :ykd;s 5mr+td8fpeed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with tln) - vv.:*exrz9dc)dxi njp /he 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 eacie/n c xvd)xjp:)9*n.rzv l-dh road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed ofiv,*h3 ;0c4r.ox 0bzqelk9r4cwpnzd 20 m/s. The centripetal force 9xroiqk400v*z3dc,.; p4lw brh c zneprovided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a speed of 1iarx :nm q/;- c)ew0kv4 m/s. What must be the minimum coefficient of friction betwk:c0i wvn/ xmr; ea)q-een the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a(2g3e ugxyhi i+v(1hf level curve. The coefficient of friction between th g1 v(i (3xuehiy+fh2ge 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 negptsy45ek t +y1)k1 y9 om0ufikotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fricoeui y m)9+0fytt5kksp1 4y1 ktion.)

  A horizontal curve on a bobsled run is dfy1 78yl apz,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 oi- f:2cccm:a 7;drat4zv u 0aef radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m v n86g.g sva6dcu,tk9 is banked 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 revo ixz(7z ;-jouw 1jdf0 z*l3g8axrng5 elving uniformly in a horizontal circle ej 0x wzuj3onr-li x 8gdg*7;(1zf5zaof 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 unifo w0qa-dhx9rcg7w c,w+rm rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in the q+crd g,xw07- w9h acwblanks)
(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 proto7g kt.dsl+4 /lst.3 , lfcberyn 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 on a 70-kg person standing on ta605s o+cp ileommq// he Earth, due to the Moon? The mass of the Moomi q5/m0lcspoe/a o+6n 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 masses areksqpc4,9 nz( t moved to half of thezn(k4q,9ts cp ir initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distansh6 jen,upq,hg c(8v 1v:zh6gce from the Earth will the gravitational forces due to the Sun and tv1h,8s,:hpqh6u ge(jnvg6czhe 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 i(xi71ceo73isp3n. g;w m npovs $7.4 \times 10^{22} \; kg$ 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 "spacc0eh 3m) tjx7pe-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due ph 37 0txc)mjeto gravity?

  The radius of the Earth is R. At what d:2 w3ajh ;/irbuxgfc+istance above the Earth's surface will the acceleration o f2 ijwxch+ag3:b u;/rf gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distagna; 32)wueg qnce above its surface equal to 3 times the radius of Mars. The acceleratione)3 gaqgu;2wn 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'sd 7 bs4xu0djj)pk f.4g center, the acceleration of gravity )fdd4gk. x74sup0bjj 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 surface of the Earth. 68cd k dc:gpt;The Earth has radius r. If the object is raised to a height of 3r above the Earth'pddtck c8: ;6gs surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change whu f8qmn dm))cw,0 yvw.en he goes from sea level to an altitude of 5000 m? (The mean radius qn80m.wwuc))dv, m yfof 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 a5:fdxykzq c3ly)aw ;,bove the Earth's surface. What is the satellite,acd5): xlzyqwyf k3;'s weight?

  A spherically symmetsw n2 4cvuy2q2mu (: gq5e e*c:ab7 1crfio*fpric planet has four times the Earth's mass and twice its radius.veg4fa5ncpu2m ibr :w21qs*o7y:q2f(ec* u c 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, Eartx(eb.4 8 s2 qfuiekk.mh, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has s8 e4 u2kbf.q ix.(meka 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 transpou9zt)z+gv7sq ngqmn e9i ;(him9 x,i+ 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 l pwgfjtfk( o, + ,( x1zaf5arswmmo7,0ow circular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radiusf,a 0 5,ag 1z(sxftww,o mj(f+7mop rk of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just skims th xb5+1k7lucfv (l kq4he sul(u1q4kvk7 cfb+ lx 5hrface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circ3 vog6z 9jg*p0 (jfr/nhuc0z nular orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (T60jjcz0(gpz*9fg 3nv ru/nh ohe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has anyi/q p:u k2g91d:nj sr 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 witv0kba)-* f v2 d-hqnzrh 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*+ wxn+k1f fpl in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orfplnfk+w x1*+bit?

  The planet Jupiter iil.0,ul c9wp lo z-wt9s $7.78 \times 10^{11} \; m$ 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 Jupk)o,za x- mays7u g du,g e70)j(t(ooqiter 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from - kxq)(uz)o(7eu dm,o o0,7stgaajg y the Earth to the Sun is $1.5 \times 10^{11} \; m$.)