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

1 Answer
Apr 5, 2017

The work done is =8J

Explanation:

The mass is m=2kg

The force applied is

F(x)=x+3

The work done is

W=F*d

d is the distance

So,

W=intF(x)dx

=int_0^2(x+3)dx

=[1/2x^2+3x]_0^2

=(2+6)-(0)

=8J