Mass & Velocity Components of Third Fragment in Exploding Shell | 0.4kg Shell

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The discussion focuses on calculating the mass and velocity components of the third fragment from a 0.4 kg shell that explodes into three fragments. Given the mass and velocity components of the first two fragments, the conservation of momentum principle is applied to determine the unknowns for the third fragment. The total momentum before the explosion is zero, leading to the equations that allow for the calculation of the third fragment's mass as 0.24 kg and its velocity components as -17.5 m/s in the x-direction and -71 m/s in the y-direction.

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A shell of mass 0.4 kg is at rest in a gravity-free environment when it suddenly explodes into three fragments. The mass and x,y components of two of the fragments is given in the table:particle mass (kg) vx (m/s) vy (m/s)

[1] 0.12 25 58

[2] 0.04 -7.5 13

[3] ? ? ?
particle 1 : .12 [mass] ; 25 [vx (m/s)] ; 58 [vy (m/s)]
particle 2 : .04 [mass] ; -7.5 [vx (m/s)] ; 13 [vy (m/s)]
particle 3 : ? [mass] ; ? [vx (m/s)] ; ? [vy (m/s)]Find the mass and x,y components of the velocity of the third fragment.
 
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Use the appropriate conservation law.

ehild
 

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