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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

Applying momentum conservation,

44 x 334 i = (10 x 465j) + (3.5 x - 428 i) + (44 - 10 - 3.5)v

v = 531i - 152 j m/s

Speed = sqrt(531^2 + 152^2) = 552.5 m/s ......Ans

Energy released = Kf - Ki

= (10 x 465^2 / 2 + 3.5 x 428^2 / 2 + 30.5 x 552.5^2 / 2) - (44 x 334^2 / 2)

= 3.60 x 10^6 J ........Ans

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