How Can I Solve These Momentum Physics Homework Questions?

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The discussion revolves around solving various momentum physics homework questions involving collisions and conservation of momentum. Key problems include calculating final velocities after inelastic collisions, such as two balls sticking together, a cannon recoiling after firing a cannonball, and football players colliding. Participants emphasize the importance of understanding that momentum is conserved in inelastic collisions, while kinetic energy is not. The thread encourages attempts at solving the problems to facilitate guidance and support. Overall, the focus is on applying conservation principles to analyze the scenarios presented.
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i don't know how to solve these

1. Ball A, with a mass of 0.20-kg, strikes ball B, with a mass of 0.30-kg. The initial velocity of ball A is 0.95 m/s. Ball B is initially at rest. What are the final speed and direction of ball A and B after the collision if they stick together?

2. A 1200-kg cannon is placed at rest on an ice rink. A 95-kg cannonball is shot from the cannon. If the cannon recoils with a speed of 6.80 m/s, what is teh speed of the cannon ball?

3. An 82-kg reciever, moving 0.75 m/s south, is tackled by a 110-kg defensive linemen moving 0.15 m/s east. The football players hit the ground together. Calculate their final velocity (magnitude and direction).

4. A 95-kg car traveling south at 29 m/s hits a truck traveling 18 m/s west. After the collision the vehicles stick together and travel with a final momentum of 4.0 x 104 kg*m/s at an angle of 45 degrees. What is the mass of the truck?

5. A 77-kg woman is walking 0.10 m/s east in the gym. A man throws a 15-kg ball south and accidentally hits the woman. The woman and the ball move together with a velocity of 0.085 m/s. Calculate the direction the woman and the ball move.
 
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1. This is an ineslatic collision. What can you tell me about inelastic collisions? Is momentum conserved? Is kinetic energy conserved?

2. Simple conservation of momentum problem, make an attempt.

3. See #1.

4. See #1.

5. See #1.

Please atleast make an attempt so then we can help you through your sticking points.
 
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Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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