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A box of mass m starts sliding across a horizontal table with some initial speed. It...

A box of mass m starts sliding across a horizontal table with some initial speed. It slides distance d before coming to rest. The coefficient of kinetic friction between the table and the box is μk.

  1. Use Newton’s laws and kinematics equations to find the initial velocity of the box. Express your answer in terms of the given parameters.

  2. Solve the same problem using work and energy theorem.

  3. Do these two approaches give the same answer?

  4. What assumptions did you make for solving this problem?

  5. Find the initial velocity if μk = 0.3 and d = 1.2m

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