A man is doing pull-ups weighs 771.5 newtons and has a mass of 101.8. What is the force he must pull up with to accelerate at 1.3 m/s2?

Question

A man is doing pull-ups weighs 771.5 newtons and has a mass of 101.8.  What is the force he must pull up with to accelerate at 1.3 m/s2?

ipwnbunnies · Answer

We'll use the famous equation:
$$F = ma$$

ipwnbunnies · Answer

Which is technically
$$\Sigma F = ma$$, the sum of forces equals mass times acceleration

ipwnbunnies · Answer

So, some force minus the man's weight must equal the right hand side, mass times acceleration. It can be modeled like this:
$$x - 771.5 = (101.8)(1.3)$$
Solve for x. That's the force the man needs to apply to accelerate at 1.3 m/s^2