The force applied against a moving object travelling on a linear path is given by #F(x)= x + 4#. How much work would it take to move the object over #x in [ 4 , 7] #?

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Answer 1 · 2018-03-22T06:42:15

The work is #=28.5J#

The force is

#F(x)=x+4#

The work is

#dW=Fdx#

Therefore,

#W=intFdx#

#=int_4^7(x+4)dx#

#=[1/2x^2+4x]_4^7#

#=(49/2+28)-(8+16)#

#=49/2+4#

#=28.5J#