The force applied against an object moving horizontally on a linear path is described by #F(x)=2x +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 · 2018-04-06T08:29:30

The change in kinetic energy is #=12J#

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

#DeltaKE=W#

The work is

#W=intFdx=int_1^3(2x+2)dx#

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

#=(9+6)-(1+2)#

#=15-3#

#=12J#