Chapter 6 - Materials, newtons laws and momentum Flashcards
Hooke’s Law with equation.
for a material within it’s elastic limit, the force applied is directly proportional to the extension of the material.
- F = kx where k is the force constant of the material
How to determine force constant
- Plot a force extension graph
- gradient is the constant
Elastic deformation
When the force applied is removed, the material will return to it’s original shape/length, so the loading and unloading curves are the same (apart from rubber)
Plastic deformation
When the force applied is removed, the material will not return to it’s original shape/length, so the loading and unloading curves are different
Why is rubber special
- Does not experience plastic deformation but does not obey Hooke’s law, loading and unloading curves form hysteresis loop.
Why is polythene special
- Does not obey Hooke’s law and experiences plastic deformation whenever any force is applied, so blue tac.
How to calculate energy required to stretch the material out
Area between loading and unloading curves, or if loading = unloading E = 1/2kx^2
Force constant of wires in series —|—
1/k1 + 1/k2 = 1/ktotal
Force constant of springs in parallel |===|
k1 + k2 = ktotal
What happens to work done if there is plastic deformation
instead of the work done being the energy stored as elastic potential, when plastic deformation occurs, the work is done in rearranging the atoms to form the new shape.
Define tensile stress
Force applied to a material per cross sectional area, stress = F/A
Define tensile strain
Extension or compression of a material per unit length, x/L
Define youngs modulus
Ratio of stress to strain, and measures the stiffness of a material
Define ultimate tensile strength
the maximum breaking stress that can be applied to a material
Outline limit of proportionality
Up until this point Hooke’s law is obeyed
Outline elastic limit
Beyond this point the material will experience plastic deformation
Newtons First Law
an object will remain at rest or continue to travel with constant velocity unless acted upon by a resultant force
Newtons second Law
F=ma
Newtons third law
For every force on an object, there is an force equal in magnitude and opposite in direction
What are the four fundamental forces
gravitational, electromagnetic, strong nuclear and weak nuclear
Linear momentum
p = mv
momentum a scalar or vector?
Vector
Impulse of a force
measures the change in momentum, I = Ft
area under force time graph
impulse
Conservation of momentum
for a system of interacting objects, the total momentum in a specified direction remains constant, as long as no external forces act on the system
Elastic collision
Kinetic energy is conserved
Inelastic collision
Some of the kinetic energy is lost to other forms, such as heat or sound.
One dimensional collision equation
m1u1 + m2u2 = m1v1 + m2v2
Two dimensional collision
x direction: m1v0 = m1v1cosθ1 + m2v2cosθ2
y direction: 0 = mqv1sinθ1 + m2v2sinθ2