Answer
W=8.55Joule
Solution
In this question we have given
coin started sliding from origin (0,0) topoint (3m,4m)
therefore displacement of coin along x-axis,x=3m
displacement of coin along y-axis,y=4m
angle between applied force and positive x-axis=100
applied force=2.5N
Now we will find
component of force along x-axis,
= 
=
=-0.43
component of force in y direction,
= 
=
=2.46N
work is done by the force on the coin during the displacement will be given as
W=
W = 
=
W=8.55Joule