You are riding a bicycle you apply a forward force of 100 n and you and the bicycle have a combined mass of 80 kg what is the acceleration of the bicycle

We can solve the problem by applying Newton's second law, which states that the force F applied on the system (man+bycicle) is equal to the product between the mass of the system, m, and its acceleration, a:

In this problem, we know the force applied (F=100 N), and the mass of the system man+bycicle (m=80 kg). Therefore, we can rearrange the previous formula to calculate the acceleration of the system:

By definition, we have to:
 
 Where,
 F: strength
 m: mass
 a: acceleration
 Clearing the acceleration we have:
 
 Substituting values:
 
 
 the acceleration of the bicycle is:
 a = 5/4 m / s ^ 2