How Do You Solve Motion and Collision Problems in Grade 12 Physics?

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In solving the first problem, the raft's velocity can be determined using the conservation of momentum, where the momentum gained by the student walking east will result in an equal and opposite momentum for the raft, causing it to move west. For the second problem involving an elastic collision, both momentum and kinetic energy must be conserved, which allows for the calculation of the final velocity of ball B and the angles after the collision. The initial momentum of ball A will equal the combined momentum of both balls post-collision, and the conservation equations can be applied to find the unknowns. Understanding these principles is crucial for solving motion and collision problems in physics. Mastery of conservation laws is essential for tackling such questions effectively.
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hi I am taking grade 12 physics and i have 2 quesions which I am not sure about.

1) a 45 kg student stand on a staitionary 33 kg raft. the student walks with a velocity of 1.9m/s [E] relative to the water. what is the resulting velocity of the raft, relative to the water, if fluid friction is negligible?
for this i thought it would be that the raft would be moving 1.9 m/s [w] because it will stay staitionary while the student walks [E]. am i right?

2) There is an elastic collision of two balls on a frictionless table. ball A has a mass of .5 kg and ball B has a mass of .3 kg. Ball A has an initial velocity of 4 m/s in the positive x-direction and a final velocity of 2 m/s in an unknown direction. ball B is initially at rest. Determine the final speed of Vb2 ball B and the angles Alpha and Bata.

the ball goes straight hits on and they both go forth but in different directions.
-- O
ball a ball b -- ball a
-----O>------o ----------
-- ball b
-- o

i actually don't have enoguh physics background to do this one. so if neone knows how please help me on this.
 
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Use conservation of momentum on the first one. If they are both at rest at the beginning, and the student starts walking, then the boat will get a momentum that is exactly
as large as the student's, but in the opposite direction (inverted signs).

As for the second one, I'm not really sure what you are asking, so all I can really tell you is that you should keep in mind that both momentum and energy is conserved in an elastic collision.
 
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