The force applied on a moving object with a mass of #1 kg # on a linear path is given by #F(x)=x #. How much work would it take to move the object over #x in [1,3] #?

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Answer 1 · 2017-03-29T07:25:20

The work done is #=4J#

The force is #F(x)=x#

The work done is

#W=int_1^3F(x)dx#

#=int_1^3xdx#

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

#=(9/2)-(1/2)#

#=8/2=4J#