4 When she was an undergrad, Liz used to work for a small company which produced

Question

4 When she was an undergrad, Liz used to work for a small company which produced and packaged sauces and other food items. She would routinely move 40kg crates of ingredients across the floor of the warehouse by pushing them at a velocity of 2 m s . These wooden crates had a coefficient of friction of µk = 0.1 with the polished concrete floor, and she would push with an applied force 30 from the horizontal. (a)[8 pts] Find the applied force. (b)[2 pts] Find the amount of work Liz had done after she had pushed one of these crates 10m across the warehouse floor.

Explanation / Answer

(a)
F*cos(30) = uk* (m*g + F*sin(30))
F*cos(30) = 0.1 * (40*9.8 + F*sin(30))
F = 48.03 N

(b)
Work done = Force * distance
Work done = 48.03 * 10 J
Work done = 480.3 J

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