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018 10.0 points You weigh 670 N. What would you weigh if the Earth were five times as massive as it is and its radius were four times its present value? Answer in units of N. 019 (part 1 of 2) 10.0 points On the way to the moon, the Apollo astro- nauts reach a point where the Moons gravi- tational pull is stronger than that of Earths. Find the distance of this point from the center of the Earth. The masses of the Earth and the Moon are 5.98 x 1024 kg and 7.36 x 1022 kg, respectively, and the distance from the Earth to the Moon is 3.84 x 108 m. Answer in units of m 020 (part 2 of 2) 10.0 points What would the acceleration of the astro- naut be due to the Earths gravity at this point if the moon was not there? The value of the universal gravitational constant is 6.672 × 10 11 N. m2/kg). Answer in units of m/s
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018) weight W 67ON :g 9.8 >mass68.37kg GM if new acceleration due togravity_g if the mass of earth M-5M M present earth mass R-earth radius ; Tm new acceleration due to gravity 49.0 19) assume the point P isat a distance D from the centre of earth where theacceleration due to earth gravity just exceed acceleration due to gravity of moon acceleration due to gravity of earth at a point l in space which is distance h from from earth surface g, - GM acceleration due to gravity from the centre of moon at the sme point in space -gm R- distance of the point trom the centre of moon R radius of moon-737.0 e 03 mm h-height of the point from thesurface of the earth d-distance from carth to moon -3.84c+08 m lpoint P GGM GM (R +h) (R h)- R (d - h) 9.008 R +h-9.008R -9.008d+9.008h-0 R. +10.008 h-9.008R 9.008d 0 h 3.466e+08 m distance of the point from the surface of earth D-R +h-3.529e +08 m above the po int P the acceleration due to gravity of moon is stronger than earths gravity GM 20) in theabscence of earth, the acceleratio due to gravity at this po int du eto moon we plug the values in hand while using the relation give us g, = 0.003206 g (Rm +(d-h))

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