Question

An object with a mass of `1 kg` is pushed along a linear path with a kinetic friction coefficient of `u_k(x)= 3x^2-2x+12`. How much work would it take to move the object over #x in [1, 3], where x is in meters?

Answer 1

`W=412,02J`

Explanation:

`W=int_1^3 mg*(3x^2-2x+12)*d x`
`W=mg int_1^3(3x^2-2x+12)*d x`
`W=mg[3*x^3/3-2*x^2/2+12x]_1^3`
`W=mg[[27-9+36]-[1-1+12]]`
`W=mg[42]`
`W=1*9,81*42`
`W=412,02J`