To keep her dog from running away while she talks to a friend, Susan pulls gentl

Question

To keep her dog from running away while she talks to a friend, Susan pulls gently on the dog's leash with a constant force given by F vector = (2.2 N) x + (1.1 N) y. How much work does she do on the dog if its displacement is d vector = (0.25 m) x. Express your answer using two significant figures. How much work does she do on the dog if its displacement is d vector = (0.20 m) y, or Express your answer using two significant figures. How much work does she do on the dog if its displacement is d vector = (-0.54 m) x + (- 0.34 m) y? Express your answer using two significant figures.

Explanation / Answer

Part A:

F = 2.2Nx+1.1y N

d= 0.25x m

Work done = dot product of vectors F and d = 2.2*0.25 = 0.55J

Part B

d = 0.20y m

Work done = 1.1*0.2 = 0.22 J

Part C:

d=0.54x+0.34y

Work done = (2.2*0.54)+(1.1*0.34) = 1.562 J

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