The force applied on a moving object with a mass of #2 kg # on a linear path is given by #F(x)=x+3#. How much work would it take to move the object over #x in [1,2] #?

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Answer 1 · 2017-05-13T18:23:11

The work is #=4.5J#

The work #W# is

#W=F*d#

#dW=F(x)*dx#

#dW=(x+3)dx#

#intdW=int_1^2(x+3)dx#

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

#=(2+6)-(1/2+3)#

#=4.5J#