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A spaceship of mass ? is on a circular orbit around a planet of mass ?,...

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Physics

A spaceship of mass ? is on a circular orbit around a planet ofmass ?, and is moving with constant speed ?0.

(a) What is the radius of the orbit of the spaceship?

A sudden explosion tears the spaceship into two pieces of equalmass. Piece 1 leaves the explosion with speed 4?0/5 with itsvelocity is in the same direction of the velocity of the spaceshipbefore the explosion. As ? ≪ ?, the gravitational attractionbetween the two parts of the broken spaceship is negligible.

(b) What is the speed of the other part (piece 2)?

(c) What is the maximum value of the angular momentum of piece 2with respect to the planet’s center during its motion?

(d) How far away from the center of mass of the planet wouldpiece 2 get during its subsequent motion?

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