F=G•m•M/R².
(a) R =sqrt (G•m•M/F)
(b) F1=G•m•M/(R1)²
(c) g= G•M/(R2)²
in 2005, the space probe Deep Impact launched a 30 kg projectile into Comet Tempel 1. Observing the collision helped scientists learn about the comet’s characteristics. The come is estimated to have a mass of 9.0 x 1013 kg.
a. Assuming the estimated mass of the comet at that time was correct, at what distance from the comet’s centre was the gravitational force between the comet and the projectile 32 N?
b. What was the magnitude of the gravitational force between the comet and the projectile at a distance of 350 m?
c. Deep Impact also released a probe to fly by the comet and record images of the collision. Determine the strength of the comet’s gravitational field at the probe’s distance of 5.0 x 103 km from the comet.
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