A 0.5 kg book is pushed 2 m across a horizontal table with a constant horizontal force of 3 N towards east. Kinetic friction of 1 N acts towards west. During the motion the book stays in contact with the table and moves only horizontally. Choose the correct set of signs for the work done by the following forces over the 2 m displacement:
(i) applied push (3 N east)
(ii) kinetic friction (1 N west)
(iii) gravitational force
(iv) normal reaction of the table
a) (i) positive, (ii) zero, (iii) negative, (iv) zero
b) (i) positive, (ii) negative, (iii) zero, (iv) zero
c) (i) positive, (ii) negative, (iii) zero, (iv) positive
d) (i) zero, (ii) negative, (iii) zero, (iv) negative