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Johnathan McDaniel
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1 Vaiatin f. A ydn balln lasd n t n ) Clibs u wit an acclatin f 6x.8s - ) Falls dwn wit an acclatin f.8x6s - ) Falls wit acclatin f.8 s - ) Falls wit an acclatin f.8 6 s-. T wit f an bjct in t cal in, sa lvl and at t t f t untain a sctivly W, W and W, tn ) W < W >W ) W W W ) W <W <W ) W >W >W. Wn a bdy is takn f t quat t t ls, its wit ) ains sa ) Incass ) Dcass ) Incass at N-l and dcass at S-l. If t at sinks t alf f its adius and ass ains cnstant, tn t wit f an bjct n at will bc ) Dubld ) Halvd ) Fu tis ) Sa. If is adius f t at, t it abv t sufac f t at w t wit f a bdy is 6% lss tan its wit n t sufac f t at is ) / ) / ) /6 ) / 6. Assu at t b a unif s f ass M and adius. Wic f t fllwin as snts t vaiatin f acclatin du t avity () wit distanc () f t cnt f t at? ) ) ) )

2 7. If t at w t tat fast tan its snt sd, t wit f an bjct will ) Incas at t quat but ain uncand at t ls ) Dcas at t quat but ain uncand at t ls ) ain uncand at t quat but dcas at t ls ) ain uncand at t quat but incas at t ls 8. If at suddnly sinks t alf f its snt valu, ass ainin uncand, and tn acclatin du t avity at its sufac wit ca t t iinal will b ) T sa ) Half ) Dubl ) Quadul. If is adius f t at, is an acclatin du t avity n its sufac, an dnsity f t at wuld b ) πg ) πg ) G π ) G π 0. T can in t valu f at a it abv t sufac f t at is t sa as at a dt d blw t sufac f t at. Wn bt d & a vy uc sall tan t adius f t at, tn wic n f t fllwin is cct? ) d ) d ) d ) d. T ass and diat f a lant a tw tis ts f at. If a scnd s ndulu is takn t it, t ti id f t ndulu in scnds is ) ) ) ). A sn can ju safly f a it f n t at. n a lant w acclatin du t avity is.s -, t axiu it f wic can ju safly ) 8 ) ) 6 ) 6

3 . T acclatin du t avity at t latitud 0 n t at bcs z if t anula vlcity f tatin f at is qual t ) ) ) ). At wat it, t valu f '' is alf tat n t sufac f t at f adius? ) ) ) 0. ) 0.7. T asss f tw lants a in t ati :. Ti adii a in t ati :. T acclatin du t avity n t lants is in t ati ): ) : ): ): 6. If at is susd t b a s f adius, if 0 is valu f acclatin du t avity at latitud f 0 and at t quat, t valu f ) ) ) ) is 7. If t dnsity f a sall lant is t sa as tat f at, wil t adius f t lant is 0. tis tat f t at, t avitatinal acclatin n t sufac f tat lant is ) 0. ) 0. ) ) 8. Acclatin du t avity n n is /6 f t acclatin du t avity n at. If t ati f dnsitis f at ) and n ) is adius f n in ts f will b 8 ) 6 ) ( 8 ) ( 0 ) tn. If t valu f acclatin du t avity, at at sufac is0 / s, its valu in /s at t cnt f t at, wic is assud t b a s f adius t and unif ass dnsity is ) ) 0/ )0/ ) Z

4 0. A sac satllit f ass 00 k cicls t at in an bit f ava adius / w is t adius f t at. Assuin t avitatinal ull n a ass f k n t at s sufac t b 0 N, t ull n t satllit will b. ) 880 N ) 88 N ) 80 N ) 8 N Ky ) ) ) ) ) 6) 7) 8) ) 0) ) ) ) ) ) 6) 7) 8) ) 0) w W < <, d< <. If d d, tn d Hints M M, M T π l

5 . (.8) 8.. cs θ 0 0 cs 0 0. ( ) +. M M 6. Acclatin du t avity at latitud λ is ivn by λ cs At 0 0 cs, πg and π G G π / ' + N W '

GRAVITATION. (d) If a spring balance having frequency f is taken on moon (having g = g / 6) it will have a frequency of (a) 6f (b) f / 6

GRAVITATION. (d) If a spring balance having frequency f is taken on moon (having g = g / 6) it will have a frequency of (a) 6f (b) f / 6 GVITTION 1. Two satllits and o ound a plant P in cicula obits havin adii 4 and spctivly. If th spd of th satllit is V, th spd of th satllit will b 1 V 6 V 4V V. Th scap vlocity on th sufac of th ath is