Question 13


A 2 kg mass rests on a rough plane and is attached to an unstretched spring with a spring constant of 50 N/m. A 10 kg mass is attached to the 2 kg mass by means of a cord passing over a pulley. The 10 kg mass is released from point "A" and in falling to point "B" increases its speed from zero to 1.5 m/s.
(Neglect the mass of the cord and spring in the following questions.)

Show the reasoning in arriving at your answers to these questions in your notebook.
Let g = 10 m/s2 .

  • A. What is kinetic energy of the 10 kg mass at point "B"?
  • Answer.
  • B. What is kinetic energy of the 2 kg mass when the 10 kg mass reaches point "B"?
  • Answer.
  • C. What is the change in gravitational potential energy of the 10 kg mass?
  • Answer.
  • D. What is the change in the potential energy of the spring as the 10 kg mass moves from point "A" to point "B"?
  • Answer.
  • E. How much of the system's mechanical energy is converted into heat as 10 kg mass falls from "A" to "B"?
  • Answer.
  • F. What is the average friction force acting on the 2 kg mass?
  • Answer.

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