Since force is a vector quantity, impulse is also a vector in the same direction.
Impulse J produced from time t1 to t2 is defined to be
where F is the resultant force applied from t1 to t2
force is related to momentum p by
F = dp/dt
therefore,
where is the change in linear momentum from time t1 to t2
Centripetal force is a force which acts on a body moving in a circular path and is directed towards the Centre around which the body is moving. Any motion in a curved path represents accelerated motion, and requires a force directed toward the center of curvature of the path. This force is called the centripetal force which means "center seeking" force.
The force has the magnitude