Question

80. From Newton's law of universal gravitation ( F=G m_{1} m_{2} / r^{2} ), it can be deduced that the force acting on a space vehicle whose mass is ( m ) slugs in the vicinity of the moon is [ F=frac{m g_{m} r_{m}^{2}}{r^{2}}=frac{1185 m}{r^{2}} mathrm{lb} ] where ( g_{m} mathrm{mps}^{2} ) is the gravity acceleration at the surface of the moon, where ( r_{m}=1000 mathrm{mi} ) (approximately) is the moon's radius, and r mi is the distance of the vehicle from the moon's center; all other gravitational fields are negligible. If by some means the vehicle were brought to rest relative to the moon and 9000 mi from its surface, and then allowed to proceed by gravitational influence of the moon only, with what speed will it strike the moon?

          80. From Newton's law of universal gravitation ( F=G m_{1} m_{2} / r^{2} ), it can be deduced that the force acting on a space vehicle whose mass is ( m ) slugs in the vicinity of the moon is
[
F=frac{m g_{m} r_{m}^{2}}{r^{2}}=frac{1185 m}{r^{2}} mathrm{lb}
]
where ( g_{m} mathrm{mps}^{2} ) is the gravity acceleration at the surface of the moon, where ( r_{m}=1000 mathrm{mi} ) (approximately) is the moon's radius, and r mi is the distance of the vehicle from the moon's center; all other gravitational fields are negligible. If by some means the vehicle were brought to rest relative to the moon and 9000 mi from its surface, and then allowed to proceed by gravitational influence of the moon only, with what speed will it strike the moon?

$80. From Newton's law of universal gravitation ( F=G m1 m2 / r^2 ), it can be deduced that the force acting on a space vehicle whose mass is ( m ) slugs in the vicinity of the moon is [ F=fracm gm rm^2r^2=frac1185 mr^2 mathrmlb ] where ( gm mathrmmps^2 ) is the gravity acceleration at the surface of the moon, where ( rm=1000 mathrmmi ) (approximately) is the moon's radius, and r mi is the distance of the vehicle from the moon's center; all other gravitational fields are negligible. If by some means the vehicle were brought to rest relative to the moon and 9000 mi from its surface, and then allowed to proceed by gravitational influence of the moon only, with what speed will it strike the moon?$

Added by Naja P.

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