The force applied against a moving object travelling on a linear path is given by $F(x)= sinx + 2$ . How much work would it take to move the object over $x in [ 0,pi/3]$ ?

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Answer 1 · 2016-03-25T22:28:05

$1/2+2*pi/3$ Joules

The work necessary is $dW=F(x)*dx$

as the movement is between 0 and 3 metres

$W=int_0^3 F(x) dx = int_0^3 (senx + 2) dx =1/2+2*pi/3$ due to

$cos(pi/3) = 1/2$

The force applied against a moving object travelling on a linear path is given by F(x)= sinx + 2F(x)= sinx + 2. How much work would it take to move the object over x in [ 0,pi/3] x in [ 0,pi/3] ?