1.How much work is required to lift a 1100-kg satellite to an altitude of 4106 m

Question

1.How much work is required to lift a 1100-kg satellite to an altitude of 4106 m above the surface of the Earth? The gravitational force is F=GMm/r^2, where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.410^6 m, its mass is 610^24 kg, and in these units the gravitational constant, G, is 6.6710^11. Work = .....?

2.The velocity function is v(t)=t^25t+4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [0,6].

displacement =

distance traveled =

Explanation / Answer

1. W = Fxd

W = GMm (1/re - 1/r)

W = 6.67x10-11 x 6x1024 x 1100 (1/6.4x106 - 1/10.4x106)

W = 2.6455x1010 J

Answer for question 2, I'll put it in a few moments. Give me some time to answer it.

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