Energy released by spaceship explosion

AI Thread Summary
A 6.91x10^6 kg spaceship explodes into two pieces, with one piece being 4.77 times the mass of the other. The smaller piece moves at 57.6 m/s, while the speed of the larger piece is calculated to be 12.075 m/s. The energy released by the explosion needs to be determined using the kinetic energy formula, but the initial attempts to calculate it by summing the kinetic energies of both masses were incorrect. The discussion highlights the urgency for assistance in solving the problem. Accurate calculations are essential to find the correct energy output from the explosion.
avenkat0
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Homework Statement


A 6.91x106 kg spherical spaceship in deep space explodes into two pieces, one 4.77 times the mass of the other.
NOTE: the velocity needs magnitude and direction (given by the sign).

a) Suppose the ship is initially at rest, and after the explosion the smaller piece is moving 57.6 m/s.
- Find the speed of the larger piece. 12.075 m/s
- Find the energy supplied by the explosion.


Homework Equations



.5mv^2

The Attempt at a Solution


I tried adding the .5mv^2's of both the masses but the answer comes out to be wrong

THank you
 
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