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In an asteroid mining process an explosive device is inserted into an asteroid. After the device detonates, the asteroid splits up into three pieces of
In an asteroid mining process an explosive device is inserted into an asteroid. After the device detonates, the asteroid splits up into three pieces of masses m4 = 9.70 kg, m3 = 6.73 kg1 and m0 = 8.67 kg. The piece of mass mA travels in the i direction at a speed of 1.1.4 2 8.92 Ill/'5. The piece of mass mg travels at speed of \"Etc 2 5.30 m/s, 3 = 39.2 \" below the i direction as shown in Figure 1. The explosion lasts t = 0.493 5. Before the explosion the asteroid is at rest. Figure 1: Diagrammatic representation of the described asteroid with its three segments, nu, m3 and mg, before separation. The segment of mass by makes up the left-hand side of the asteroid is moving to the left at a speed of ed. The segment of mass mg makes up the bottom righthand side of the asteroid and is moving diagonally down and to the right at a speed of 1:5. Its velocity vector is Hdegrees below the positive i direction. The segment of mass m]; makes up the top right-hand side ofthe asteroid. The horizontal unit vector i is positive in the right-hand direction and the vertical unit vectorj is positive in an upwards direction. Pan1) Write the momentum of the piece with mass mo below in unit vector notation. jkgmsl pc==l i+l Panz) What average force is imparted on the piece of asteroid with mass me during the explosion? Give your answer in unit vector notation. 3N Fc=l i+l Pans) What is the velocity of the piece of asteroid with mass 1113 after the explosion? jm/s w=l i+|
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