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oo T-Mobile 12:26 PM 74%. spock.physast.uga.edu C Course Contents » Problem Set 10» 'Timer Notes Evaluate dug,Feedback Print Info (9) Exploding Object A 44.0-Kg body is moving in the direction of the positive x axis with a speed of 334 m/S when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 10.0 Kg, moves away from the point of explosion with a speed of 465 mS along the positive y axis. A second fragment, whose mass is 3.5 Kg, moves away from the point of explosion with a speed of 428 m/S along the negative x axis. What is the speed of the third fragment? Ignore effects due to gravity. Submit Answer Tries 0/8 How much energy was released in the explosion? Submit Answer ) Tries 0/8 Post Discussion Send Feedback

Explanation / Answer

a) m(3) = 44 - (10 + 3.5) = 33.65 kg

We have in x direction: 44 x 334 = m(3)x - 3.5 x 428 => x = 481.25 m/s

and in y direction: 0 = m(3)y + 10 x 465 => y = -138.19 m/s

v(3) = sqrt (481.252 + (-138.19)2) = 500.70 m/s

b) All about KINETIC, KE = 1/2 x m x v2

3442 x 0.5 x 44 - [ (4282 x 0.5 x 3.5) + (4652 x 0.5 x 10) + (500.702 x 0.5 x 33.6) ] = 3.01 x 106 J

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