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Forces and Gravitational Fields

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Detailed Physics I notes covering Learning Outcome 3: Forces and Newton's Laws of Motion. Topics include Newton's First, Second, and Third Laws, free-body diagrams, net force, tension, normal force, friction (static and kinetic), gravitational force, weight, equilibrium, and force analysis on inclined planes. These notes provide clear explanations, formulas, diagrams, and step-by-step solutions to practice problems. Ideal for students looking to strengthen their understanding of forces and prepare for quizzes, exams, and homework assignments.

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4). I Types of Forces :




Forces are vectors

2 categories of forces

-

contact forces
-
field forces
·

normal force F
-

force exerted at interface between 2 objects (surface that exists between (objects.
-

it points perpendicular (normal) to that interface.

equal to objects weight but not
-

an always


Tension Fr
-
force that acts along length of stretched
spring , rope ,
etc :


magnitude is at every point along rope .
-

same

-
this is true even if direction of rope changes.

·

friction (i

-inherently a resistive force.
-



always points opposite to motion (or intended motion)


Spring Force Esp
-
if stretched
, spring pulls inward ,
if compressed ,
it pushes outward .

thus it is a restoring force
-




-


this force is given by Hookes law : Esp = -k*

K is it describes how stiff spring
spring constant ; is
-




-spring acts opposite to displacement causing force C-sign

Section 4 . 2


gravitational force Fg on object is its weight

mass (m) of object is the amount matter in object
.


the weight is
given by
Eg ma =




is still
g = -9 81 .
m/sy
we measure m in kg

the unit of force is the newton (N) ,
where N =
Kg m/s
.




mass is same wherever object is

weight depends on strength of gravity
.

, Section 43 .




We can write a force in component form :




F FxX = +
Fyy +
Fzz
the net force on an object is sum of all forces :

Fnet [F F F Fz=
=
,
+ + ...




Fne+ X = F
,x = F, x +
E2X


Fnety SFiy =
= F
, y
+
Ezy
if we have the components ,
then we can find magnitude & direction.

every force is exerted
by one object another object.
·


on


the net force object only includes forces on that object.
on
acting
·




We ignore any internal Forces , only considering external forces .




Free-Body Diagrams FBD

·

draw object of interest as a point .




We draw each force from object
acting Vector point away
·


on
object as a



ideally the of correspond to strengths of but don't need to be too concerned
, lengths arrows should forces ,




w/ this.

EX person
pushing box
.
across a frictionless surface

FN
A



· Ex or

Eg

Section 4 4 .




Newtons First Law
A in motion atconstant
body at rest will remain at rest ,
and a
body in motion remains speed
in a like unless is acted upon by force .
straight ,
a external

so, no net force ,
no
change in t

only net force matters not individual forces
Cindividual forces balance
,
-



mathematically : V =
constant as long as Fnet =




Also called law of inertia

inertia describes of an to resist to its motion.
tendency object changes
·




Newtons Second Law Acceleration : of system directly proportional to the forces inversely proportional to the

mass .




Fret
=
Enet or
= m

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