A force F = (4.0 N)i + cj acts on a particle as the particle goes through displacement d = (3.4 m)i - (2.0 m)j. (Other forces also act on the particle.) What is the value of c if the work done on the particle by force F is each of the following?

Question

(a) zero
(b) 19 J
(c) -17 J

Work is the dot product of the Force and Dispacement vectors.
Set W = 13.6 - 2c and solve for the c that goes with each W.
(13.6 -2c is the dot product.)

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Answer 1

(a) c = 0
(b) c = 8.5
(c) c = -9.5