The force applied on a moving object with a mass of 1 kg on a linear path is given by F(x)=x^2+3. How much work would it take to move the object over x in [1,2] ?
1 Answer
Aug 27, 2017
Explanation:
The equation for the work done by a varying force is given by
W = int_(x_1)^(x_2) F_xcolor(white)(l)dx
We know
-
F_x = x^2 + 3 -
x_1 = 1 "m" -
x_2 = 2 "m"
Plugging these in:
color(red)(W) = int_(1color(white)(l)"m")^(2color(white)(l)"m") x^2 + 3color(white)(l)dx = color(red)(ulbar(|stackrel(" ")(" "5.33color(white)(l)"J"" ")|)