Solving the Problem of A & B Collision: Acceleration & Force

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SUMMARY

The discussion focuses on solving a physics problem involving a collision between two objects, A and B, with masses of 2.0 kg and 5.0 kg, respectively. After the collision, the combined speed of the objects is determined to be 2.0 m/s. The problem also requires calculating the acceleration and net force acting on the combined system, considering the coefficient of sliding friction of 0.20 between object B and the floor, while there is no friction between cart A and the floor. The acceleration due to gravity is set at 9.8 m/s².

PREREQUISITES
  • Understanding of Newton's 2nd Law of Motion
  • Knowledge of momentum conservation principles
  • Familiarity with friction concepts, specifically static and kinetic friction
  • Basic skills in solving equations of motion
NEXT STEPS
  • Calculate the net force acting on the combined system using F = ma
  • Explore the effects of different coefficients of friction on acceleration
  • Learn about momentum conservation in inelastic collisions
  • Study the implications of friction in real-world applications
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of collisions, forces, and motion in mechanics.

aki667
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Im confuse in this problem, please help me because I am having a hard time in solving this problem. The problem goes like this:A cart of A of mass 2.0[kg] which is moving at a speed of 7.0]m/s] on a horizontal floor collides with the object B of mass 5.0[kg] which is standing still on the floor. After that, A and B are united and start sliding. There is no friction between cart and floor and coefficient of sliding friction between cart and floor and the coefficient of sliding friction between B and floor is 0.20. Set the acceleration by gravity to 9.8[m/s²].

1. Find the speed of the object immidiately after collision.

I have solved the speed of object after the collision and i get 2.0 m/s

2. By solving the equation of motion find the acceleration and force acting between A and B.

i can't solve the 2nd part, how can i get the acceleration?
 
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I suspect that there is friction between the object and floor, but not between the cart and the floor. If so, compute the net force acting on the "cart+object" system after the collision. Then analyze the forces acting on each separately.

Use Newton's 2nd law.
 

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