- #1
lioric
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Homework Statement
A shell of mass 12 kg moving horizontally at 320 ms^ -1 explodes into three fragments A,B and C, which continue to move in a common vertical plane.
Fragment A: mass 2 kg continues at 450ms^-1,45 degree angle above the horizontal.
Fragment B: mass 6kg continues at 400ms^-1 horizontally.
Fragment C: mass m continues at speed v, in a direction theta to the horizontal.
Homework Equations
Momentum + Velocity x mass
Conservation of momentum : total initial momentum = Total final momentum
3. The Attempt at a Solution
So i tried to find the direction of the C by using this
Initial momentum before explosion is simply in x axis
which is 12kg x 320m/s = 3840kgm/sMomentum after explosion has three parts
Fragment A: 2x450=900kgm/s
Fragment B: 6x400 =2400kgm/s
Fragment C (since A is in NE direction and B is in E I suppose C is in somewhat SW direction ) so I guess since momentum is conserved 3840-900-2400 = 540 in SW some angle direction
since all the momentum in an explosion in a particular axis is also conservered and the initial momentum in y-axis is 0
so I tried with
final momentum of fragment A in y-axis + final momentum of fragment C in axis = 0
900sin45 + -540sinX = 0
but I get math error