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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

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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 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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