A force `F=20+10y` acts on a particle in y-direction where F is in Newton and y in meter. Wrok done by this force to move the particle from `y=0` to `y=1 m` is:

Options

A. 30 J
B. 5 J
C. 25 J
D. 20 J

Answer

B

Explanation

Since displacement is along y - axis and force is also along the same direction . Hence work one can be written as follows :
`W = int_(y_(1))^(y_(2)) F dy `
`rArr " " W = int _(0)^(1) (20+10y) dy `
` rArr " " W = 20 [y]_(0)^(1)+10[(y^(2))/2 ] _(0)^(1)`
`rArr " " W = 25 ` joules .