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A 50.0 kg box is at rest on a horizontal floor whereµ k = 0.30. a) A force of 30

ID: 1722815 • Letter: A

Question

A 50.0 kg box is at rest on a horizontal floor whereµk = 0.30.
a) A force of 300 N is needed to break the box free.What is the coefficient of static friction?
b) How much force is needed to move the box at aconstant speed of 4.31 m/s.
c) What would be the acceleration if a force of 500. Nis applied to the box?
a) A force of 300 N is needed to break the box free.What is the coefficient of static friction?
b) How much force is needed to move the box at aconstant speed of 4.31 m/s.
c) What would be the acceleration if a force of 500. Nis applied to the box?

Explanation / Answer

     Given that the mass of box is m = 50kg      coefficient of kinetic friction isµk = 0.30. ------------------------------------------------------------- (a) If the applied force for the block just slideis F = frictional force                                                                    300 N = s*mg                                                                            s = 0.61 (b) If the body moving with constant velocity                              kinetic friction = applied force                                       k*mg = F                                                   F = k*mg                                                  = 147 N (c) If applied force is F = 500 N then                    F - k*mg =ma                                   a = ( F / m) - k*g                                      = 7.06 m/s2

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