- #1
Pochen Liu
- 52
- 2
Note: Please only give hints please! No answers because I want the satisfaction of solving it.
1. Homework Statement
A mass M at height h above flat round and falling vertically with velocity v breaks up explosively into 2 parts. The kinetic energy given to the system in the explosion is E. The 2 halves leave the point of explosions at angles theta and psi with respect to the downward vertical.
State the conservation laws that apply to the motion of the exploding system and neglecting any change in mass, write down the equations derived by application of these laws.
Consider the case that E = mv^2 and one of the halves emerges at theta = 90 degrees. Show that cos(psi) = 2/sqrt(5).
How do I prove this?
I have calculated the initial and final momentum of x and y-axis but I don't know how to prove it or utilise the kinetic energy part because I'm assuming it's part of the proof.
I don't know what way to prove it, and I don't know where the numerical aspect came from because this question is almost formula based.
https://scontent.fwlg1-1.fna.fbcdn.net/v/t35.0-12/17373213_1049612521848826_812759978_o.jpg?oh=f29a20165ddd2d2f671c3f1d032e0744&oe=58CF94AC
1. Homework Statement
A mass M at height h above flat round and falling vertically with velocity v breaks up explosively into 2 parts. The kinetic energy given to the system in the explosion is E. The 2 halves leave the point of explosions at angles theta and psi with respect to the downward vertical.
State the conservation laws that apply to the motion of the exploding system and neglecting any change in mass, write down the equations derived by application of these laws.
Consider the case that E = mv^2 and one of the halves emerges at theta = 90 degrees. Show that cos(psi) = 2/sqrt(5).
Homework Equations
How do I prove this?
The Attempt at a Solution
I have calculated the initial and final momentum of x and y-axis but I don't know how to prove it or utilise the kinetic energy part because I'm assuming it's part of the proof.
I don't know what way to prove it, and I don't know where the numerical aspect came from because this question is almost formula based.
https://scontent.fwlg1-1.fna.fbcdn.net/v/t35.0-12/17373213_1049612521848826_812759978_o.jpg?oh=f29a20165ddd2d2f671c3f1d032e0744&oe=58CF94AC
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