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motion
- a constant part of our daily experience
- understanding motion allows us to make critical decisions
translational motion
- the movement of an object from one location to another
- unlike rotational motion (spinning), in translational motion, every part of the object moves the same distance in the same direction
distance (d)
- the total length of the path traveled
- it doesn’t care about the directions
- if you walk 5m forward and 5m back, distance is 10m.
displacement (d→)
- the straight-line change in position from start to end
- if you return to the start, displacement is 0m
scalar quantity
has magnitude only (numbers)
vector quantity
has both magnitude and direction
speed (v)
- a scalar quantity that tells us how fast something is moving
- it ignores direction
velocity (v→)
- a vector quantity that tells us the rate at which an object changes position
- it includes how fast and which direction
positive
moving in the designated "forward" or East direction.
negative
moving in the opposite direction(West orBackward).
acceleration
- describes how velocity changes over time.
- includes speeding up, slowing down, or changing direction
- like velocity, acceleration is a vector
- it has both magnitude and direction
- we measure it in meters per secondsquared(m/s²)
positive acceleration
usually refers to an object speedingupinthepositive directio
deceleration
- refers to negative acceleration
- this happens when an object slowsdown(braking)
momentum (p→)
- a measure of an object's motion and its resistance to stopping
- it is directly proportional to mass and velocity
- because velocity is a vector, momentum is also a vector with both magnitude and direction
- the direction of motion is critical when calculating total momentum
- two objects with the same mass and speed have different momenta if their directions differ
Impulse-Momentum Theorem
for a fixed change in momentum, Force and Time are inversely related.
extending impact time
safety devices are designed to extend Impact Time to reduce Peak Force
crumple zones
deform to absorb energy and lengthen collision duration
airbags
cushion passengers, slowing them down gradually rather than instantly
seatbelts
stretch slightly to increase stopping time
Conservation of Momentum
in a closed and isolated system (no external forces), the total momentum remains constant.
before interaction
total momentum is calculated
interaction
objects collide or explode.
after interaction
objects collide or explode.
collisions
all collisions conserve momentum, but they differ in Kinetic Energy (KE)
elastic
- KE and momentum is conserved, clean bounce no heat generation
- objects involve hard, non-deforming surfaces
- bounce off, separate (ex: billiards, atoms)
inelastic
- KE is Lost but momentumis conserved
- energy transforms into heat, sound, deformation
- objects bounce but may be permanentlydentedor slowed
perfectly inelastic
- Max KE Loss. Objects stick together.
- ex: Dart in board, Train coupling
rotational motion
- occurs when an object spins or turnsaroundafixed axis
- unlike Translational Motion (movinginastraightline), rotational motion involves spinninginplace
- every point on the object follows acircularpatharound the center
axis of rotation
the central line around which the object turns
path
the route traced by any point on the object
radius
the straight-line distance from a specific point to the axis
degrees
- familiar unit
- a full circle is 360°
radians
- the standard unit for physics
- one radian is the angle formed whenthearclength (s) equals the radius (r)
translational motion
- movement in a straight line
- examples include running forward, gliding across the floor, or throwing an object
rotational motion
- rotational movement around a fixed point or axis
- examples include joints rotating like the shoulder, elbow, or knee
bones
function as rotating levers.
joints
function as the axes of rotation (Shoulders, Hips, Knees) natural body rotation
sports
optimizing technique for speed and powe
lever
- one of the oldest and most commonly used simple machines. It operates by rotating a rigid bar around a fixed point called the fulcrum, allowing a small effort to move a large load depending on its design
- a simple machine made of a rigid bar that pivots on a fixed point called the fulcrum
effort
the force applied
load
the object being moved
first-class lever
- the fulcrum is between the effort and the load(e.g.,scissors, seesaw)
- this type can multiply force or distance depending on the arm lengths
second-class lever
the load is between the fulcrum and the effort (e.g., wheelbarrow nutcracker), providing a mechanical advantage in lifting heavy loads
third-class lever
- the effort is applied between the fulcrum and theload(e.g., broom, baseball bat)
- these are commonly used to increasespeedandrange of motion rather than to reduce effort