-C) Timer Notes à Evaluate e,Info Feedback Print Course Contents . Vectors Scala

Question

-C) Timer Notes à Evaluate e,Info Feedback Print Course Contents . Vectors Scalar Product and Work Scalar Product and Work shuttle is trying to escape a constant uniform force field originating from an alien planet. The work W needed in this scenario is simply where P is the force of the force field acting on the shuttle, and s is the displacement of the shuttle inside the force field, L.e, how much and in which direction it moves. The force field is given by 4300 1900 N 4400 and the shuttle is moving 451500 142500 440000 in the field. What manitude work is needed to move this distance? 4.1510M are e correct Previous Tes What is the angle en the force reld and the dioglacement you can se ng or rad as units, give the smalest postive angle 0 dg Tries 1/12 reio Post Disoussion send F https://s4.lite.msu.edu/res/msu/kortemey/physic sprecourse/vectors/work.problem O

Explanation / Answer

Given,

F = 4300 i - 1900j - 4400 k

s = -451500 i + 142500 j + 440000 j

The work done will be the dot product of F and s vector.

F.s = (4300 i - 1900j - 4400 k).(-451500 i + 142500 j + 440000 j)

F.s = 4300 x -451500 + -1900 x 142500 + -4400 x 440000 = -4148200000 = 4.15 x 10^3 MJ

Hence, W = 4.15 x 10^3 MJ

b)cos(theta) = a.b/lallbl

lFl = sqrt (4300^2 + 1900^2 + 4400^2)

lsl = sqrt (-451500^2 + 142500^2 + 440000^2)

cos(theta) = -0.9967 => theta = 175.34

Hence, theta = -5.13 deg or 175.34

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