Chapter 6181P6.57(a)Since the centripetal acceleration of a person is downward (towardthe axis of the earth), it is equivalent to the effect of a fallingelevator. Therefore,′ =−FFmvrgg2or FFgg>′(b)At the poles v=0 and ′ ====FFmggg75 0 9 80735..afNdown.FIG. P6.57At the equator, ′ =−=−=FFmaggc73575 00 033 7732NNN..bgdown.P6.58(a)Since the object of mass m2is in equilibrium, FTm gy∑=−=20orTm g=2.(b)The tension in the string provides the required centripetal acceleration of the puck.Thus, FTm gc==2.(c)From Fm vRc=12we havevRFmmmgRc==FHGIKJ121.P6.59(a)v=FHGIKJ=30088 060 0440mi hft smi hft sbg..At the lowest point, his seat exerts an upward force; therefore, his weight seems to increase.
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