Tendency of an object to remain in its state of motion
Moving objects have the tendency to stay moving
Linear Momentum (p)
Vector that quantifies the motion of an object
Property of moving objects (linear in motion)
Momentum is directly proportional to the object's mass and velocity
Velocity and momentum of an object will always have the same direction
MOMENTUM IS INERTIA IN MOTION
Momentum
p = mv, kg m/s
Change in Momentum (Δp)
Δp = pf-pi, Δp= mvf- mvi
Impulse
When an object interacts with another, the force is exerted on the other object over a certain period of time
Quantified by the impulse vector
Impulse is not a force
J = Ft, Unit = Ns
Impulse-Momentum Theorem
When a force acts on an object during a certain time interval, the impulse of this force = the change in momentum of the object
J = Δp, FΔt = mΔv, 1 Ns = 1 kg m/s
Ft = fT
Is the change in p
Short period of time, then experienced force is stronger
Long period of time, then experienced force is weaker
Force (2nd Law Motion)
F = ma, kg m/s2
When 2 things move at the same speed and collide with one another
The one with the smaller size and lighter mass will suffer heavier damage
Compared to soil and wood, water
Will give less impact on an object because it allows more time for contact impulse during a collision: Water = soil < wood
Energy
Ability of something to do work, which is the use force to change the displacement of an object
Exists in various forms
Types of Mechanical Energy
Kinetic energy (motion)
Potential energy (stored)
Kinetic energy (motion)
Energy in motion
m: mass (kg)
v: velocity (m/s)
unit: kg m2/s2 or J
KE = mv2/2 (Joule)
Potential energy (stored)
Energy at rest due to its position
GPE = mgh (Joule)
Height it directly proportional to GPE
g = negative (-9.8 m/s2)
h= negative (m)
m: mass (kg)
unit: kg m2/s2, Nm, or J (Joule)
PE at its highest point = KE at its lowest point
Law of Conservation of energy
Total energy in isolated system is constant
Can be observed in: Free fall, ideal pendulum, ideal rollercoaster
Conservation of Mechanical Energy
GPE + KE = ME
(energy is transformed) = (total ME is constant)
Energy and Work Relationship
Work done = GPE
This energy provides the object with the ability to do work
Work done = positive because it gains KE
To stop an object from moving, KE is lost (work done = negative)
GPE = mgh = work done on the object
KE = 1/2mv2 = work done to stop the motion of the body
KE + PE + work done against friction = 0
Work Efficiency
Work done against friction is 1 of the factors that decreases the efficiency of the machines
eff. = work output / work input x 100%
Work
W = Fd
F: force applied (N)
d: distance
Unit: Nm or J
Heat
Form of energy that can do work (It can cause movement)
Heat -> Mechanical Energy
James Presscot Joule
English physicist and mathematician
Units
W = work in Joules (J)
H = Heat in Calories (cal)
J = mechanical equivalent of heat = 4.186 joules/calorie (constant)
FORMULA: W=JH or W= (4.186)(H)
Thermodynamics
"How does heat produce movement?"
The study of heat and its transformation to mechanical energy and vice versa
Types of Heat Engines
Internal Combustion
External Combustion
Internal Combustion
Burns the fuel inside the engine
Gasoline and diesel engines (cars)
External Combustion
Burns fuel outside the engine
Steam engines (steam-powered trains)
How do heat engines work?
Heat (HH) is supplied to the engine by an eternal source called hot reservoir (heatsource)
The heat source is at temperature TH
The rest of the heat (HC) is released to an external place called cold reservoir or heatsink
Internal Combustion Engine
Part of the energy supplied by the gasoline is transformed into useful work in moving car
Some of the energy heats up the car, the rest is given off as heat in exhaust gasses
The heat source is the gasoline and the heat sink is the surrounding air
Thermal efficiency
Thermal efficiency = work ÷ input energy x 100
Symbol: Thermal efficiency = W ÷ Hh x 100
W = output work
HH = Input Energy (Hot reservoir)
HC = Output energy (Cold reservoir)
W = HH- HC
FINAL EQUATION: HH - HC ÷ HH X 100%
TE = W/HH X 100%
Why is it impossible to get 100% efficiency from heat engines?
Heat
Energy transferred from one body to the other due to temperature difference
Unit: Joule (J)
Commonly measured in calorie (Cal)
Temperature
Degree of hotness or coldness of an object
Measure of average kinetic energy of molecules making up the object
Unit: Kelvin (K)
Commonly measure in degrees Celsius (C)
Formula: H = mcΔt
H = MC (TF-TI)
m= mass (g)
c = specific heat (C)
tf= final temperature
ti = initial temperature
Specific Heat Capacity
Specific heat, the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree
The units of specific heat are usually calories or joules per gram per Celsius degree
For example, the specific heat of water is 1 calorie (or 4.186 joules) per gram per Celsius degree
Different substances needed different amounts of heat to raise them through the same temperature interval
Not all objects can be heated in the same degree
Electricity
Is electric current that is used as a power source
Electric Current
Is generated in a power plant, and then sent out over a power grid to homes, and ultimately to power outlets
Michael Faraday discovered the flow of electric charges could be induced by moving a wire that contains electric charges, in a magnetic field. Thus, the generator was invented.
Sources of Electrical Energy
Non-renewable Sources (More rapidly consumed that formed)
Renewable Sources (more rapidly formed or replenished than consumed)
Non-renewable Sources
Nuclear energy - nuclear fission uses uranium to create energy
Fossil Fuels - Derived from remains of living organisms, Formed for thousands or even millions of years, Include coal, oil and natural gas
Renewable Sources
Hydropower, geothermal energy, wind power, biomass, and solar energy