This document defines impulse as the product of force and time, emphasizing its vector nature and relationship to momentum. It provides a detailed example involving a 50 kg mass pushed by a constant force, calculating initial and final momentum, the acting force, and the impulse. The results highlight that impulse is equivalent to the change in momentum, quantified as 150 kg∙m/s.

1. Impulse
Prepared by: RG LUIS
VINCENT GONZAGA

2. Objectives
• Define impulse.
• Describe and show the relation between impulse and
momentum.
• Calculate Impulse.

3. What is impulse?
• impulse is the multiplication of applied force and time
interval it applied. Impulse is also a vector quantity
having both magnitude and direction. It has the same
direction with applied net force.
• Impulse=Force∙Time Interval
• Impulse and momentum are directly related to each
other. Let’s find this relation now.

4. As you can see, we found that impulse is equal to the
change in momentum.
Impulse=Change in Momentum

5. Example
• A 50 kg mass is sitting on a frictionless surface. An unknown
constant force pushes the mass for 2 seconds until the mass
reaches a velocity of 3 m/s.
• a) What is the initial momentum of the mass?
b) What is the final momentum of the mass?
c) What was the force acting on the mass?
d) What was the impulse acting on the mass?
•

6. a) What is the initial momentum of the mass?
• Momentum is mass times velocity. Since the mass is at
rest, the initial velocity is 0 m/s.
• momentum = m⋅v = (50 kg)⋅(0 m/s) = 0 kg∙m/s

7. b) What is the final momentum of the mass?
• After the force is finished acting on the mass, the
velocity is 3 m/s.
• momentum = m⋅v = (50 kg)⋅(3 m/s) = 150 kg⋅m/s

8. c) What was the force acting on the mass?
• ∆𝑣 = F∆t
• From parts a and b, we know mv0 = 0 kg⋅m/s and mv =
150 kg⋅m/s.
• 150 kg⋅m/s – 0 kg⋅m/s = Ft
150 kg⋅m/s = Ft
• Since the force was in effect over 2 seconds, t = 2 s.
• 150 kg⋅m/s = F ⋅ 2s
F = (15 kg⋅m/s) / 2 s
F = 75 kg∙m/s2

9. • Unit Fact: kg∙m/s2 can be denoted by the derived
SI unit Newton (symbol N)
• F = 75 N

10. d) What was the impulse acting on the mass?
• The impulse is the force multiplied by the time
passed. It is also equal to the change in
momentum over the same time period.
• Ft = 75 N ⋅ 2 s
Ft = 150 Ns or 150 kg⋅m/s
• The impulse was 150 Ns.

11. Thank You…

12. Quiz