A person pushes a 16.0-kg shopping cart at a constant velocity fora distance of

Question

A person pushes a 16.0-kg shopping cart at a constant velocity fora distance of 30.0 m. She pushes in adirection 22.0° below the horizontal.A 50.0-N frictional force opposes themotion of the cart. (a) What is the magnitude of the force that theshopper exerts?
1 N

(b) Determine the work done by the pushing force.
2 J

(c) Determine the work done by the frictional force.
3 J

(d) Determine the work done by the gravitational force.
4 J
(a) What is the magnitude of the force that theshopper exerts?
1 N

(b) Determine the work done by the pushing force.
2 J

(c) Determine the work done by the frictional force.
3 J

(d) Determine the work done by the gravitational force.
4 J

Explanation / Answer

a) F = Ff/cos = 50/cos22 = 53.9 N b) Wpushing = Fscos = 53.9 x 30 x cos22 = 1500J c) Wfrictional = Ffscos = 50 x 30 x cos 180 =-1500 J d) Wgravitational = Fgscos = mgscos =(16)(9.8)(30)(cos90) = 0 J

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