Answer
$F=1.23N$
Work Step by Step
The force that link 2 exerts on link 1 can be calculated by adding the weight of link 1 to the force required to accelerate the link at $2.50m/s^2$,
$F=F_g+ma=m(g+a)=(0.100kg)[(9.8m/s^2)+(2.50m/s^2)]=1.23N$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.