Linear Momentum AP Physics Chapter 7. Linear Momentum 7.1 Momentum and Its Relation to Force.
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Transcript of Linear Momentum AP Physics Chapter 7. Linear Momentum 7.1 Momentum and Its Relation to Force.
![Page 1: Linear Momentum AP Physics Chapter 7. Linear Momentum 7.1 Momentum and Its Relation to Force.](https://reader035.fdocuments.us/reader035/viewer/2022081511/5697bfa61a28abf838c986ea/html5/thumbnails/1.jpg)
Linear Momentum
AP Physics
Chapter 7
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Linear Momentum
7.1 Momentum and Its Relation to Force
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7.1 Momentum and Its Relation to Force
Linear momentum – product of an objects mass and its velocity
Unit is a kgm/s
The quantity is only useful when discussing collisions
7-1
vm
p
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7.1 Momentum and Its Relation to Force
Impulse
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7.1 Momentum and Its Relation to Force
Impulse
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vmF
tF
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vmp
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7.1 Momentum and Its Relation to Force
Impulse
Or
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tF
p
pFt
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7.1 Momentum and Its Relation to Force
In a collision, to decrease force, we increase time of the collision
Air Bags
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Consumer Report
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Linear Momentum
7.2 Conservation of Momentum
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7.2 Conservation of Momentum
Two kinds of collisions
1. Perfectly elastic – objects bounce apart
2. Perfectly inelastic – objects stick together
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7.2 Conservation of Momentum
In reality collisions are a combination of the two.
Law of Conservation of Momentum – in a closed system, momentum is conserved in a collision
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0p p
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7.2 Conservation of Momentum
In an elastic collision
Direction of velocity is given by the sign of the velocity.
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0 0A A B A A A B Bm v m v m v m v
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7.2 Conservation of Momentum
In an inelastic collision
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0 0( )A A B A A Bm v m v m m v
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7.2 Conservation of Momentum
In an explosion
The reverse of a
Inelastic collision
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Linear Momentum
7.3 Conservation of Momentum in Collisions
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7.3 Conservation of Energy and Momentum
Energy (mechanical) is conserved in an elastic collision
So
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0 0A A B A A A B Bm v m v m v m v
0 0
2 2 2 21 1 1 12 2 2 2A A B B A A B Bm v mv v m v m v
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7.3 Conservation of Energy and Momentum
Any collision in which energy is lost, is considered inelastic.
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Linear Momentum
7.4 Collisions in Two Dimensions
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7.4 Collisions in Two Dimensions
inelastic collisions in two dimension
As always each dimension is treated independently
Then use vector addition to calculate the final answer
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0 0( )A A x B A x A B xm v m v m m v
0 0( )A A y B A y A B ym v m v m m v
x yv v v
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Linear Momentum
7.5 Center if Mass
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7.5 Center of Mass
Even if an object rotates there is one point that moves in the same that a particle would move if subject to the same force.
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7.5 Center of Mass
Center of mass – the point that does not rotate
Center of gravity – the point at which the force of gravity can be considered to act
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