Question

How does a force acting on an object relate to its momentum?

Answer 1

force is the rate of change in momentum
it is according to newton's second law
F=dp/dt
F=d(mv)/dt
F=mdv/dt [as mass of the object generally is constant]
and dv/dt = a
so
F=ma that's a result from second law that we all know

here
F is force
p is momentum
t is time
v is velocity
m is mass
and a is acceleration

Answer 2

f=dp/dt i.e change in momentum is force