As part of a daring rescue attempt, the Millennium Eagle coasts between a pair o

Question

As part of a daring rescue attempt, the Millennium Eagle coasts between a pair of twin asteroids, as shown in the figure below where d1 = 2.95 km and d2 = 1.48 km. The mass of the spaceship is 2.41 ? 107 kg and the mass of each asteroid is 3.60 ? 1011 kg. If the Millennium Eagle is at rest at point A what is its speed at point B?
     m/s

As part of a daring rescue attempt, the Millennium Eagle coasts between a pair of twin asteroids, as shown in the figure below where d1 = 2.95 km and d2 = 1.48 km. The mass of the spaceship is 2.41 ? 107 kg and the mass of each asteroid is 3.60 ? 1011 kg. If the Millennium Eagle is at rest at point A what is its speed at point B?

Explanation / Answer

r = sqrt(2.95^2+1.48^2) = 3.3km

change in PE = 2*GMm/(r-d2) = 2*6.67*10^-11*3.6*10^11*2.41*10^7/(3300-1480) = 635922 J

PE change = KE acquired

635922 = 0.5*2.41*10^7*v^2

v = 0.229m/s

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