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

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Answer 1 · 2018-06-11T09:13:50

The change in kinetic energy is #=3.83J#

The change in kinetic energy is equal to the work done.

#DeltaKE=W=Fxxd#

#W=int_1^2(x^2+x)dx#

#=[x^3/3+x^2/2]_1^2#

#=(8/3+2)-(1/3+1/2)#

#=14/3-5/6#

#=23/6=3.83J#