Question

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

Answer 1

`W=10-4=6J`

Explanation:

`W=int_a^b F(x)*d x`

`W=int_1^2(2x+3)d x=|2*x^2/2+3x|_1^2=|x^2+3x|_1^2`

`W=(2^2+3*2)-(1^2+3*1)`

`W=(4+6)-(1+3)`

`W=10-4=6J`