Problem

Force of Friction The table lists the force F needed to push a cargo box weighing x pounds...

Force of Friction The table lists the force F needed to push a cargo box weighing x pounds on a wood floor.

x (Ib)

150

180

210

320

f (Ib)

26

31

36

54

(a) Compute the ratio for each data pair in the table. Interpret these ratios.


(b) Approximate a constant of proportionality k satisfying F = kx.(k is the coefficient of friction.)


(c) Graph the data and the equation together.


(d) Estimate the force needed to push a 275-pound cargo box on the floor.

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