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5. A large rock is launched with a speed of 13000 m/s towards the atmosphere. a)...

5. A large rock is launched with a speed of 13000 m/s towards the atmosphere.

a) Is that enough to escape earth’s atmosphere? (Derive the escape speed where G = 6.7 x 10^-11, M = 6.0 x 10^24 kg, and R = 6.4 x 10^6)

b ) Now, find the speed of the rock if it were to be in circular orbit around earth.

c) Find the Buoyancy of a box with a volume V = 10 m^3 that is submerged in a pool of water and held down by a string. The density of the box is 200 kg/m^3. The density of water is 1000 kg/m^3.

d) find the tension of the string that is holding the box down.

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