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Force applied
Force removed
(goes back to original shape)
Hooke’s Law is
the ‘scientist’
They found out that the slope of a
EMPIRICAL
fucked around and found out
e
F vs deformation
graph is
k
k
F (N)
e
e
F vs deformation
deformation : x (m)
m = k
The area under the graph is Work
y = (y/x) * x = m * x = kx
x = x
A =
1
2
b * h
W = (x)(kx)
= kx
1
2
2
1
2
W
x
y
- slope is a constant value
- passes through origin (0,0)
A pair of Variables hold a direct relationship if:
A perfect elastic will no matter how deformed it gets
never break
It can stretch to infinite lengths and never break. Since it never breaks, it
never loses its elasticity
∞
Elastics break sometimes…
As a result, the elasticity in the elastic is lessened
The spring constant ‘k’ gradually shrinks
Certain portions are now
Inelastic
Conservation of energy to solve Kinematic Questions
A dude throws his head. 100m high tower velocity of the head is 20m/s [Up] mass is 1kg
E
system
= E + E
g
k
= mgh +
1
2
mv
2
= (1)(9.8)(100) + 0.5(1)(20)
2
= 1180
a) what is the maximum height of the head? b) what is the speed when his head hits the ground?
a)
ok the top will have 0 velocity
1180
= E + E
g
k
= (1)(9.8)(h) + 0
h = 120.408m
= E + E
g
k
b)
= 0 + (0.5)(1)(v)
2
1180
v = 48.58m/s [Down]
height will be 0
F
e
F
g
Equilibrium Point
The point where F = 0.
net
F = -F
g
e
kx = -mg
Maximum Deformation
This is a scalar value for a reason
You can push or pull or an elastic, and it deforms it. It will actually be the same distance too.
original
original
x
Max deformation when compressed
original
x
Is the same as max deformation when expanded
2 Mass Elastic Collision
Before
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