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Ch. 9 Ch. 9 Momentum Momentum
and Its and Its Conservation Conservation
Milbank High SchoolMilbank High School
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Sec. 9.1Sec. 9.1Impulse and Momentum Impulse and Momentum
• Objectives– Compare the system before and after an
event in momentum problems– Define the momentum of an object– Determine the impulse given to an
object– Recognize that impulse equals the
change in momentum of an object
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MomentumMomentum• What is momentum?• The Minnesota Vikings have
momentum entering the final weeks of the season…
• Anything that is moving has momentum• Depends on what?
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MomentumMomentum
• Momentum = mass * velocity • In physics, the symbol for momentum is
“p”sssooo…
• p = m * v • kg·m/s
Which has more momentum, a supertanker tied to a dock or a raindrop falling?
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MomentumMomentum• Determine the momentum of a ...
– 60-kg halfback moving eastward at 9 m/s. • 60 x 9 = 540 kg·m/s east
– 1000-kg car moving northward at 20 m/s. • 1000 x 20 = 20,000 kg·m/s
– 40-kg freshman moving southward at 2 m/s. • 40 x 2 = 80 kg·m/s
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Impulse and MomentumImpulse and Momentum• Impulse = Change in momentum • Impulse
– The product of the average net force exerted on an object and the time interval over which the force acts
– N•s
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Real Life Applications..Real Life Applications..• Sports…
– Follow-through!– Gymnastics Mats
• Cars…– Airbags!– Before airbags….– Bumpers
• Eggs…• Jumping…
– Knees– Shoes
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ReviewReview• Can a bullet have the same
momentum as a truck?
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Sec. 9.2Sec. 9.2The Conservation of The Conservation of
Momentum Momentum
• Objectives– Recognize the conditions under which
the momentum of a system is conserved– Apply conservation of momentum to
explain the propulsion of rockets– Solve conservation of momentum
problems in two dimensions by using vector analysis
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The Law of Conservation on The Law of Conservation on MomentumMomentum
• The total momentum of two objects before a collision is equal to the total momentum of the two objects after the collision.
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Two Particle CollisionsTwo Particle Collisions– Inelastic collisionsmAvA1 + mB1vB1 = mAvA2 + mBvB2
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PropulsionsPropulsions• We can also use:
pA2 = -pB2
mAvA2 = -mBvB2
Example Problem Pg. 212