- #1
T531
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Homework Statement
A bomb at rest with 1.0x10^4 J explodes into three pieces.
The first piece is 1.0 kg and travels in the positive y direction with a velocity of 60 m/s.
The second piece is 4.0 kg and travels in the positive x direction at 40 m/s.
Find the third piece's mass, velocity, and angle.
Diagram attached, but link just in case:
http://www.flickr.com/photos/82417987@N08/7545812162/in/photostream
Homework Equations
momentum(p) = mass*velocity
p(before) = p(after)
Potential Energy = Kinetic Energy
KE =1/2mv^2
The Attempt at a Solution
KE = 1/2*m*v^2
1.0*10^4 = 1/2*(1)*(60)^2 + 1/2*(4)*(40)^2 + 1/2*(m)*(v)^2 <- where m and v are the unknown mass and velocity
Apply conservation of momentum in the x-direction:
The first piece is only in y, so it is not included in the equation. The x-mom eqn becomes:
4.0kg*40m/s + m(ofx)*v(of x) = 0
Now the y-mom equation:
1.0kg*60m/s +m(of y)*v(of y) = 0
I know: m(of x)=m(of y) because both are piece 3. And v^2 = v(of x)^2 + v(of y)^2.
Not sure how to find v(of x) and v(of y)