Answers to Chapter 5

Q5.13 I would not accept that statement for two reasons. First, to be beyond the pull of gravity, one would have to be infinitely far away from all other matter. Second, astronauts in orbit are moving in a circular path. It is the gravitational pull of Earth on the astronauts that keeps them in orbit. In the space shuttle, just above the atmosphere, gravity is only slightly weaker than at the Earths surface. Gravity does its job most clearly on an orbiting spacecraft, because the craft feels no other forces and is in free fall. P5.11(a) (b)See Figure to the right EMBED Equation.DSMT4 Adding, EMBED Equation.DSMT4 EMBED MSDraw mergeformat FIG. P5.45 P5.15 EMBED Equation.DSMT4 , EMBED Equation.DSMT4 . The string will break if the tension exceeds the weight corresponding to 25.0 kg, so EMBED Equation.DSMT4 . When the 3.00 kg mass rotates in a horizontal circle, the tension causes the centripetal acceleration, so EMBED Equation.DSMT4 . Then EMBED Equation.DSMT4 and EMBED Equation.DSMT4 or EMBED Equation.DSMT4 . FIG. P6.1 P5.17 EMBED Equation.DSMT4 since EMBED Equation.DSMT4 The force causing the centripetal acceleration is the frictional forcef. From Newtons second law EMBED Equation.DSMT4 . But the friction condition is EMBED Equation.DSMT4 i.e., EMBED Equation.DSMT4 FIG. P6.7 EMBED Equation.DSMT4 EMBED Equation.DSMT4 P5.23 EMBED Equation.DSMT4 But EMBED Equation.DSMT4 at this minimum speed condition, so EMBED Equation.DSMT4 . FIG. P6.17 P5.25 (a) EMBED Equation.DSMT4 When EMBED Equation.DSMT4 , EMBED Equation.DSMT4 and EMBED Equation.DSMT4 EMBED Equation.DSMT4 The Styrofoam falls 1.50 m at constant speed EMBED Equation.DSMT4 in 5.00 s. Thus, EMBED Equation.DSMT4 Then EMBED Equation.DSMT4 (b) At EMBED Equation.DSMT4 , EMBED Equation.DSMT4 and EMBED Equation.DSMT4 down (c) When EMBED Equation.DSMT4 , EMBED Equation.DSMT4 down P5.26 (a) EMBED Equation.DSMT4 , EMBED Equation.DSMT4 , EMBED Equation.DSMT4 EMBED Equation.DSMT4 Assuming a drag coefficient of EMBED Equation.DSMT4 for this spherical object, and taking the density of air at 20C from the endpapers, we have EMBED Equation.DSMT4 (b) EMBED Equation.DSMT4 EMBED Equation.DSMT4 iw.bCPA5pjP1mNj(Rd Bpvk6cK.O-w@Dx7neZ9OQHdeOaSa1-un_UopUQU9X,z9gOH,FiSL-7-w_uMjYjkfDEhd)TT GQV71zsxns rjdK KdIFAfFMY9wvsg wRnFzbq,KDuw g R 8 j TUQ6WoYtZG HO7Z._b_wSr fEip_FWV7cAhKK9AGc vDBQP jUJEU-jQtsfwsw/UXAbR5tjvgL WvfdX@iP)f2BijeHI7L5n q(K,XIwUzSd 7q n vp_5Tu6V-n/RgORwo,s 847JHo0E,hgLYeZ)HtVv_yDy)FSEB16qhk-vD,KU0@Yx.Bwsm)a/Zmy_.fkzg3geGzNCENheTF6i4 h1mFCIj6du q4)wMxzFBsBiW0(sq5q8V-HFyFJZMvwu)-@f uX/- zU/iGJYLj6 (AEI MixJKxKxCTxQabi73c1(HctKSlpc2RLl7xQ-v/L OnHkJ-CSYFJJ2ee.BT8/enZoKz7OwfxBMfJ/9Q/(gG 9HWATvWn0 YgtKKkHZviI0s,X owVh29ZlmVUYh5QW3o9E6Qd1ko4PFMU kcnuaeuYeW.v p5bHpgMgn4N@3E(G@8@(XcvhPvp6 xvz6hBUGB2UwAMbVrpt.d/BQwIPi.MVw8s3Jy5Sov tGV374X5XylAh9O1wVP3-,OEMDp@_lrwFkm3P7t63QrCkBQ(hTbu3Mxaxg1qyg3cl18)xF/ fnM.xeFl5loI33YfID5k1O_ZDPj3s-xk01 Av4 klAZNGFyH_e M3J8tDKgOT_v..GWvNw-xwjo,xuoGa o.GkTl30XY2AY J6SkQM75KzKPUKl5/jMBzn8L7 DHQGjwz@)2RqZ)ujJi5Wi2JT rJDLTqHtyB jhrosfw,6ZhArysc1oGkZWbb7X,W05W-ItZ57XL73zF6/yzq)vAimCQE.xau13 yOiuw)ozyuTf6KNxJ-xl_z/ly_CYm8y OwBkE 0/yfiVV1,xfIU rnsseZTbGs /WGO7YxYpmeg ,C0HPi875jF_k58@C6iFh9ndQf8mz zpRc4_gUME.O2f1cliJWD(fkx74fZ)mE8 3-AlpetjZ.tqt503YYq5BrJuGiD-gcz1BM/kOdWQP/.Z2sPyQJGyqpmM)nZ,xjK76Ic wFNsQd2_T2JS4lW/O-3EK/On cGkY2T)48iUtf.Vr v)nN9Xj7wlXV vZ-vco x Dpr1-Arcz,ZGm WW(V_2@YWqK6HWigUji wlzhO00UhqHjQ V4vCECH8k_XUU hk8dI W//. w92 fPm27ZscjfeXzzp6jrfch78yg9dDX5JuU(WTpdnh ykCVxFyQ/tY0mXX@RWxn38 EmS M6kgZPJQhF yPRzHF5X 48G 94B.f5ke caO1D18Whok)eXOv08aA4m Vp7xl_U0os()HedY5x,OtpviLPz04RJ4OdIeRZdwV-C MBjoE4F.rlOnrx0mSr/qCu/qmBkT2ynUhkBIS3g2_OB,xKhkZWXS0PC A2u0eSVQ74b0u@RuVRDqgts _vsjrxKFQ70IhP,Xt57 0v74k877AS U9fJoYUU/U-0suQweQ _DTqe4 kzFV4 5xkNyz xI 41SYXvDohZ40uin.45xQ/FOa8 UbE/4Q-_-8BKTN2Of_gU8yXLFTp1JE_O GsvRUr5e8EbUeuCKkVGu0uFXyjSu2lMoLQ_ 5R)rRkyA oqU-2iu yoh7wyo_YYyvZd al 97pH9OPSO.S(EY@CZ@.(VpBJD LzWOyU17X5dozZ_rG HP-l Wohh7jr QO3ID1gkZHp_ K8w b seVtHvf9((bv1ZZqg6JB4_gVgEcbkG4E@WJolr5i(gL 1CCr t)hGqrxM@Q1NmRZu/(sh)k/T5lsN9TVV69TW9bIY/SW vhp.U/kyz0)ylIy_y5sOKLP7Rze32jMUPUwj4qkjZuH@bUAKBQqN/hg W3sx@DtQCmBq,-Kt/vGzU_Br KjF q_Mnq3Bq)iqU7L.AN/z2aGC89FWEU i4zse) hz jWD g3yTn7i/bWrbZHUQ@ZsP P@bvaR r GC@l2d5oe-G_J7xdbqf9UVV6gi3msppkq J6KSz4V7ZtFOcj708J-KS4VszWCsV1LjQHf-a_czMc 3U 0ym_eqBnK8syY)XJ_Ji/zrUD@N ZAmY1G/ir@h6scK GVVGkNk/l.n _01C379k ske,d7SMqfqriEhe)X2shAyL)0_aMG3czEc71cnP9lMLy fxrrsgI26EXYz 3WxQ9wz0o)i gmr 0krMWRCnT9d6oWI,OiA/7Hmv.5Wt@hP3oh/Nf Dcck9pEnHWWX)3/3E3bRv77s9mp bXTuSXJFnm9ap/mk9n Yd59XKzXdsfbBo k)W.X5p_jycgv XZktpKV,SQ_RZOB1QWBNdtzrRcUyNtkXBgqA79Uylx9A2t/FFqtUU@3u5iw8s7C46zxZiwTdtGvi5 a9z21zrn_s-y nDi7 m,V0vpGtygsLf1Ku1adc-XHZIIu3t-rT10oA9sRCdJPd3E IeaDiy, ,0zA0hGWgw3vwBF5ptlodOXQ2 VmmYm6_5zB,I5 ve3) sEC792G_bOV 0Wo2_ oMEj8FNTRG.QmBgAE8q oQRvzjWIa6ime GI, wnyj, u7 2TGYplZzsd5nZS__xoCRFd1QS5NKnsmGyV3c RnXkliwn1ca588,g-Hx3FRvdSlR3OVxiu8H7MGydjv1yDcNn/G_V _5nWa7tnwslek,7W,sNb vbz2-bHpohp295sAE,ZSBZaoDGOPtU2qlt_o,ewdawoS9 I3 8(C// Hs-zBT-Qjrfj.ExyAK8I-q qMqUJ8bmFOyRN/lD1eiQu--EiXMsLCD,.iLv3 beK-hs6mEZNq5v4Vy J a HXbCx15b8h2lo1Ouecvh7xMnbcDyl5TJSTdb5BdynubLOzz)Xo3/c9 fbzfqxqD,ujR0PRnNS9YW/fh S99rkG,YFaAXKK.j.TJ,FAiQBZC2nvkeXa_F02aIZOE(u_ lyvw- qqxIZ(G4-tI2Z7@FZ._RVd825ElMbKV3tXd,nJ6KhW1uvUzvoWL_GYE5kewsxQDjjjhX5ytzny3)Hb9Go G6zdnQdI6 jv,w0qh/y@B cDHrIFni@A)E51AM1dyEr3rIEAAGW t_8XWY,JEPYYXFeIl_HtFCmfIz8)QL1qdXZF,5qI)izT kgwveD/XoYbL/ANmxqp9TjYFZ/xuwRzR0WyTK1 wCl ,8VvQuzcVLZ1p Td1eVrKFns) B3f5Em.B xOnZb VPxCIfvzOHbOnj1FaWxViTZxaijlefwBmsociy_pdmZ q53 QE6( /dSdxCS8Tonu(Jx3,/Nf-f8TCl cs7VNoWFk1twUj0xFPd cey)J@Y6lHW9-GC.htaGDHLbapI w o.Cn2kTz2Q xc -boP.fcav.cLxTWrY2fd3ZgaGsWu,XC)nvFALwLyIQsj7jf)LR5SVWVB0d mNr/_S FwnjG