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Ch 7 Linear Momentum
Concepts and Formulas
22
Physics
Undergraduate 1
10/14/2012

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Term
linear momentum  of an object is defined as
Definition
The linear momentum 'p' of an object :
is the product of its  mass & a velocity 
ex. a faster & heavy truck has  MORE momentum than a small moving car
aka it takes MORE force to stop the truck than the car.
Term
Formula for momentum
Definition

→          →

p =   m v

 

where :

p : momentum (a vector)

v: velocity (m/s)

m: mass (kg)

Term
 Momentum  is a vector and points in the _____ direction as the _______ vector.
Definition
same, velocity
Term
One can also say that the momentum vector is _______ to the velocity vector,
if the momentum vector ______ if the velocity vector doubles.
Definition
directly proportional, doubles
Term
A _____ is required to increase, decrease, or change  the direction of momentum
Definition
force
Term
relate momnetum to Newton's second law
Definition
the rate of change of momnetum of an object is equal to the net force applied to it.
Term
Give equation that relates momentum to Newton's second law
Definition

ΣF=Δp/Δt

sum of forces= change in mommentum/change in time


same as 

ΣF=p final - p inital/Δt

same as

 

ΣF=mv2- mv1/Δt

Term
Momentum is a ______ quality
Definition

conserved, 

momentum is same before and after a collsion etc..

'the total momemtum of an isolated system of objects remains CONSTANT

Term
Equation for conservation of momentum (such as 2 objects colliding)
Definition
mvA  + mB vB mv + mvB
Term
In a given system, momentum will always be conserved if _____
Definition

no external forces are present

ex. friction, gravity

Term

Conceptual  Example 7-5:

An empty sled is sliding on frictionless ice when Riley drops vertically from a tree above onto the sled. When she lands, does the sled speed up, slow down, or keep same speed? 

B. What happens if Riley falls sideways off the slide?

Definition

A. Speed decreases

fall vertically: no inital horizontal momentum, so the total  horizontal momentum is equal to the momentum of sled intinally.

b/c sled has more mass, the speed decreases

B. SAME speed b/c momentum is conserved

Term
Impulse formula
Definition

impulse (Δp) =

force • Δt

unit: Newtons/ seconds

Term
Impulse Definition
Definition
is equal to the total change in momentum
Term
a collision in which the total kinetic energy is called an
Definition

elastic collision

KEf= KEi

Term
give equation for a totally elastic collision
Definition

1/2m1v1+1/2m2v2=1/2m1v'1 + 1/2 m2v'2

 

where v' is velocity after collision

(recall ke is 1/2 mv)

Term
Give equation for v'1 in elastic collision
Definition
v'1 =  (m1-m2/ m1 + m2) x V1
Term
collisions in which kinetic energy is NOT conserved is called?
Definition
inelastic collision
Term
In a totally elastic collision what happens to the objects
Definition
they collide & go off in seperate directions
Term
In a totally inelastic collision what happens to the objects
Definition
they collide & STICK
Term
  • In a totally inelastic collision what is conserved?
Definition

momentum & ofcourse TOTAL energy as always 

 

*energy not created or destroyed

Term
Give equation for inelastic collision
Definition
(m1+m2)vf = (m1+m2)vi
Term

Give components of theta for:

x axis

y axis

flat & incline

Definition

FLAT

X: cosθ

y: sinθ


INCLINE

X:sinθ

Y:cosθ

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