# Impulse and Momentum

## Conservation of Momentum

Definitions, including p = mv and F = dp/dt.

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• Watch {}video clip from Lecture 15 (0:00 - 6:29)

Definition of momentum (p = m*v) and impulse; non-constant force and impulse; conservation of momentum; translational motion of the center of mass; modeling external forces and conservation of momentum; modeling of instantaneous collisions; momentum diagrams and equations.

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## Impulse

Definition, including impulse as δp and F/δt; impact times and forces.

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Dropping a tennis ball on top of a basketball causes the tennis ball to bounce very high.

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• Watch {}video clip from Lecture 17 (21:30 - 24:08)

## Impulse and Thrust

Throwing objects produces recoil; comparison of recoil to thrust; calculation of rocket thrust for Saturn rocket.

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## Momentum

Definition of momentum (p = m*v); Newton's laws and momentum; law of conservation of momentum of a particle and of a system of particles, with examples; relationship between forces and momentum; elastic and inelastic collision, with examples.

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## Impulse and Collisions

Definition of impulsive force, with example; elastic and inelastic collisions, with examples in one-dimension and two-dimensions.

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## Power and Momentum

Power defined, with equation (P = F*v); impulse defined; center of mass defined; velocity and momentum of center of mass.

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## Newton's First Law

Definition of inertial mass; standard kilogram; definition of momentum (p = m*v).

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## Newton's Second Law

Definition of force (F=ma); superposition principle; definition of impulse and average impulse; Newton's second law equations for force, acceleration, momentum.

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## Collision Theory

Momentum and impulse equations; definition of conservation of momentum for an isolated system; momentum problem solving strategies; momentum diagram and equations; planar collision theory; elastic collisions; 2D elastic collision example problem.

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## Linear Momentum Review

Momentum and change of momentum defined, with equations; strategies for solving momentum and impulse problems; collisions and conservation of momentum; center of mass.

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## Energy and Momentum

Friction and acceleration; which forces must be known to solve for energy and momentum; kinetic energy and momentum in a collision. Solution not included.

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## Kinetic Energy and Impulse

Kinetic energy of two blocks of unequal mass that experience the same impulse. Solution not included.

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## Momentum and Stopping Force

Distance needed to stop a ping-pong ball and a bowling ball, which have the same initial momentum. Solution not included.

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## Momentum of Isolated Systems

Concept questions about conservation of momentum in isolated systems of one or more bodies. Solution not included.

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## Impulse and Momentum

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Motion of a ball falling and bouncing off of the ground.

Force acting on the ankle of a person jumping to the ground from a height.

Motion of a superball bouncing on a table.

## Space Shuttle Acceleration

Finding fuel mass used for shuttle acceleration.

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## Saturn V Rocket

5-part impulse problem; calculating velocity, acceleration, burn time for rocket.

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## Delivering Impulse to a Rod

A rod is hit off-center; finding velocity, ω, position, and kinetic energy.

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## Going to the Sun

7-part orbit problem; finding impulses to allow spacecraft to reach sun.

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## Impulse for a Bouncing Ball

6-part problem; p of ball before and after hitting floor; average force and impulse; change in kinetic energy.

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