The force applied against an object moving horizontally on a linear path is described by #F(x)=x^2-x+2 #. By how much does the object's kinetic energy change as the object moves from # x in [ 1, 3 ]#?

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Answer 1 · 2016-10-18T18:55:55

The work is done is, so it's KE increases by, #26/3# J

#W = int_a^c F(x) dx#

#= int_1^3 x^2 - x + 2 dx#

#= [ x^3/3 - x^2/2 + 2x ]_1^3 = 26/3#J