A box of oranges which weighs 83 N is being pushed across a horizontal floor. As

Question

A box of oranges which weighs 83 N is being pushed across a horizontal floor. As it moves, it is slowing at a constant rate of 0.90 m/s each second. The push force has a horizontal component of 20 N and a vertical component of 25 N downward. Calculate the magnitude of the frictional force between the box and floor. Express your answer using two significant figures. Calculate the magnitude of the upward normal force of the floor on the box of oranges. Express your answer using two significant figures.

Explanation / Answer

Apply Newton second law to the box

F - fk = ma

fk = F- ma

= 20 N - ( w/g) a

= 20 N - ( 83 N/ 9.8 ) (-0.90 m/s^2)

=27.62 N

uk N = 27.62 N

uk = 27.62 N/ 10 7 N = 0.25

Normal force is

N = 83 N + 25 N = 107 N

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