A spaceship of mass 2.0×106 kg is cruising at a speed of 4.9×106 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 4.6×105 kg , is blown straight backward with a speed of 2.1×106 m/s . A second piece, with mass 8.2×105 kg , continues forward at 1.3×106 m/s .
What is the speed of the third piece?
Here,
let the third piece has speed v
Using conservation of momentum
initial momentum = final momentum
2 *10^6 * 4.9 *10^6 = 4.6 *10^5 * (-2.1 *10^6) + 8.2 *10^5 * 1.3 *10^6 + (2 *10^6 - 4.6 *10^5 - 8.2 *10^5) * v
solving for v
v = 1.34 *10^7 m/s
the speed of the third piece is 1.34 *107 m/s
A spaceship of mass 2.0×106 kg is cruising at a speed of 4.9×106 m/s when the...
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