Solving Momentum Problems: Rocket, Crate & Cannon

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SUMMARY

This discussion focuses on solving momentum problems involving a rocket, a crate on a frictionless surface, and a cannon. The first problem involves a rocket that explodes into three pieces, with the third piece's velocity calculated using conservation of momentum, yielding a speed of 510 m/s. The second problem examines two individuals jumping off a crate, where the speed of the crate post-jump is determined to be 36 m/s. The third problem involves a cannon firing a shell that explodes into two fragments, with participants seeking guidance on calculating the distance between the fragments after the explosion.

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  • Understanding of conservation of momentum principles
  • Familiarity with vector components in physics
  • Basic knowledge of projectile motion and energy conservation
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Students and educators in physics, particularly those focusing on mechanics, as well as anyone interested in solving complex momentum-related problems in real-world scenarios.

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1) Rocket fired up, when it reaches 300 m/s and 1000m, it explodes into three pieces. One contnues up at 450 m/s and the other continues east at 240 m/s. Third velocity?
used conservation of momentum with components
found that the velocity of the third piece had an x-component of -240 m/s and y-component of 450 m/s. solved and got 510 m/s. did i approach this problem correctly?
2) Two people standing on a crate on a frictionless frozen pond. One person weighs 75 kg, the other 45 kg and the crate 15 kg. They jump horizontaly from the top of the crate. Just after each jumps, the person moves away from the crate at 4 m/s relative to the crate.
a)What is the speed of the box if both jump off?
MVi = MVf
135(4) = 15(V)
V = 36 m/s
i have a feeling that i wdid that incorrectly
b)What is the speed the 75 kg jumps off and then the
45 kg person jumps off a few seconds later?
135(4) = 60V V= 9 velocity after one person
jumps
60(9) = 15V
V= 36
i also have a feeling that i did this one
incorrect since a and b are both the same
answer.
3)Cannon fires 100kg shell 60 degrees at 600 m/s. at highest point it explodes into two fragments (m1 = 2/5M and m2 = 3/5M), with an additional 10kJ of energy in the original horizontal direction. Whats the distance between the two pieces?
honestly for this one i am lost. i don't expect it to be solved, but could someone possible guide me through it? or get me started?
Thanks!
 
Physics news on Phys.org
First: x-component was correct but y is wrong.
 
can anyone give me a clue in finding the y-component?
 

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