A 5.00 kilogram mass is traveling at 100 meters per second. Determine the speed of the mass after an impulse of 30 Newton * seconds is applied.

Impulse is the change in momentum, J. It is measured in the same unit as momentum, kg•m/s or N•s

The formula for impulse is

J = ∆p = pf - pi

30Ns = pf - pi

pi = m*vi

pi = (5kg) (100m/s)

pi = 500kg-m/s

pf - 500kg-m/s = 30Ns

pf = 530kg-m/s

pf = m*vf

v f = pf / m

v f = (530kg-m/s) / (5kg)

v f = 106m/s (speed of the mass after an impulse)

Given: Mass m = 5.0 Kg; Initial Velocity Vi = 100 m/s

Impulse Ft = 30 N. s

Required: Final Velocity = ?

Formula: Ft = m (Vf - Vi)

Vf = Vi + Ft/m

Vf = 100 m/s + 30 N. s/5 Kg

Vf = 100 m/s + 6 m/s

Vf = 106 m/s