For Newton's second law, the force F applied to the object of mass m will cause an acceleration a of the body:
[tex]F=ma[/tex]
So, the acceleration is
[tex]a= \frac{F}{m}= \frac{2.0 N}{2.0 kg}=1 m/s^2 [/tex]
The object undergoes through this acceleration for 10 seconds, t=10 s. Since it is an accelerated motion, we can find its final velocity after 10 seconds:
[tex]v_f = v_i + at=0 m/s+(1m/s^2)(10 s)=10 m/s[/tex]
where [tex]v_i[/tex] is the initial velocity of the object, which is zero since it starts from rest.
Finally we can calculate the final kinetic energy of the object, which is given by
[tex]K= \frac{1}{2}mv^2= \frac{1}{2}(2.0 kg)(10 m/s)^2=100 J [/tex]
