Question

a 200 N force acts on a 50kg ice skater. ignoring any friction, find the ice skater's acceleration.

how do i set-up and solve this problem?

Answer 1

Well, start from the Newton's law which say that the force acting on an object is equal to the mass of the object multiplied by the acceleration of the object.
So, \[\ F=ma\]

Also note that Force is a vector so you need to specify the direction of the force.

Answer 2

F = ma
200 = 50a
a = 200/50 = 4 (m/s²)