A huge cannon is assembled on an almost airless planet. The planet has a radius of 5 x 10^6 m and a mass of 2.6 x 10^24 kg. The cannon fires a 10 cm radius sphere straight up at 5000 m/s. a) Assuming the planet is completely airless you should calculate what maximum height above the surface the sphere reaches. b) An observation satellite orbits the planet at a height of 1000 km. Does the projectile reach this height? If so what speed does it have as it goes past the satellite? c) Drag on this planet is actually D=0.005 A v2 (a measly 1% of drag on Earth) for the first 100 m ( and zero after that). Estimate or determine how much energy is lost due to this effect? Verbally comment on why it's an estimate.
A huge cannon is assembled on an almost airless planet. The planet has a radius of 5 x 10^6 m and a mass of 2.6 x 10^24 kg. The cannon fires a 10 cm radius sphere straight up at 5000 m/s.
a) Assuming the planet is completely airless you should calculate what maximum height above the surface the sphere reaches.
b) An observation satellite orbits the planet at a height of 1000 km. Does the projectile reach this height? If so what speed does it have as it goes past the satellite?
c) Drag on this planet is actually D=0.005 A v2 (a measly 1% of drag on Earth) for the first 100 m ( and zero after that). Estimate or determine how much energy is lost due to this effect? Verbally comment on why it's an estimate.
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