Learning Goal
Linear Momentum, Force, and Impulse
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
"**Linear momentum** is the product of a system's mass and its velocity. In equation form, linear momentum *p* is $\vec{p} = m\vec{v}$."
"Newton actually stated his second law of motion in terms of momentum: The net external force equals the **change in momentum** of a system divided by the time over which it changes."
"$\vec{F}_\text{net}\, \Delta t$ is known as **impulse** and this equation is known as the **impulse-momentum theorem**. From the equation, we see that the impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum."
"Airbags allow the net force on the occupants in the car to act over a much longer time when there is a sudden stop. The momentum change is the same for an occupant whether an airbag is deployed or not. But the force that brings the occupant to a stop will be much less if it acts over a larger time."
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"Linear momentum is the product of a system's mass and its velocity. In equation form, linear momentum p is $\vec{p} = m\vec{v}$."
"Newton actually stated his second law of motion in terms of momentum: The net external force equals the change in momentum of a system divided by the time over which it changes."
"$\vec{F}_\text{net}, \Delta t$ is known as impulse and this equation is known as the impulse-momentum theorem. From the equation, we see that the impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum."
"Airbags allow the net force on the occupants in the car to act over a much longer time when there is a sudden stop. The momentum change is the same for an occupant whether an airbag is deployed or not. But the force that brings the occupant to a stop will be much less if it acts over a larger time."
What you'll learn
- Define linear momentum, state that it is a vector with the same direction as velocity, and calculate it from p = mv
- Express Newton's second law in terms of momentum (F_net = Δp/Δt) and derive the familiar F = ma as the constant-mass special case
- Define impulse and state the impulse-momentum theorem (Δp = F_net·Δt)
- Explain how extending the time of impact reduces force, and apply this to safety features such as airbags and crumple zones
- Solve problems using the impulse-momentum theorem to find momentum, change in momentum, or average force
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
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