Asked by Alyssa
a 1000 kg space craft at 500 m/s is on a collision course with a 400 kg satellite travelling at 700 m/s . Their paths are converging at a 45 degree angle . After the collision they remain locked together. What is the final speed of both satellites? What angle is this at
Answers
Answered by
Steve
Assume the heavier satellite is traveling in the +x direction. Conserve momentum, so the final velocity (x<b>i</b>+y<b>j</b>) is the solution to
1000*500<b>i</b> + 400*700(.707<b>i</b>+.707<b>j</b>) = (1000+700)(x<b>i</b>+y<b>j</b>)
That will give the x- and y-components of the final velocity, which you can then express as magnitude and direction.
1000*500<b>i</b> + 400*700(.707<b>i</b>+.707<b>j</b>) = (1000+700)(x<b>i</b>+y<b>j</b>)
That will give the x- and y-components of the final velocity, which you can then express as magnitude and direction.
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