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Easy

Question

The diagram represents a ramp at a skateboard park : a quarter-circle arc of radius R (segment AB) joined to a horizontal section (segment BC). A skateboarder of mass M starts from rest at point A, rolls frictionlessly down arc AB, and collides with his friend (also same mass M) who is standing on the ground at rest at point B. The two people stick together in the collision. They fall over and together slide distance d along the horizontal surface before coming to a stop. The coefficient of kinetic friction along the horizontal segment is mu subscript k end subscript

  1. What is the speed of the skateboarder when he arrives at the bottom of the arc, at point B (but just before he collides with his friend)?    
  2. What is the speed of the combined skateboarders immediately after they collide?    
  3. How much kinetic energy is lost in the inelastic collision?    
  4. Find an expression for distance d in terms of the other variables open parentheses M comma R comma mu subscript k end subscript comma blank a n d blank g close parentheses    

The correct answer is: How much kinetic energy is lost in the inelastic collision?

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