Planet z is 5000 km in diameter. the free-fall acceleration on planet z is 7.0 m/s2. part a what is the mass of planet z? express your answer using two significant figures. m = kg submitmy answersgive up part b what is the free-fall acceleration 9000 km above planet z's north pole? express your answer using two significant figures.

Question

Physics

Issac Johnston

10 January, 04:09

Planet z is 5000 km in diameter. the free-fall acceleration on planet z is 7.0 m/s2. part a what is the mass of planet z? express your answer using two significant figures. m = kg submitmy answersgive up part b what is the free-fall acceleration 9000 km above planet z's north pole? express your answer using two significant figures.

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Answers (1)

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Abraham Abbott · Answer 1

(a) g = Gm/r^2

where G=6.67 * 10^-11 Nm^2/kg^2,

m is the mass of the planet,

r is the radius of the planet.

7.0 = (6.67 * 10^-11) / (2500^2) * m

m = (25000000^2 * 9.0) / (6.67 * 10^-11)

m = 8.4333 x 10^24 kg

(b) g=Gm/r^2. This time, the radius is 2500+10000 = 12500km g = (6.67 * 10^-11 * 8.43333*10^18) / (12500^2)

g = 3.6 m/s^2