CALCULATION



Force
 
A force is a push or pull that can cause an object with mass to accelerate.
 
 

force
mass
acceleratio



The SI unit of Force is Newton (N)
The SI unitof mass is Kilogram (Kg)
The SI unit of accelerationis the meter per second squared (m/s2)
 
 
 
Work
 
Work is the amount of energy transferred by a force.
 

Work
Force
distance
Total work




 
Where
W = Work
Wtotal = total work
F = force 
D = distance 
M = mass 
vinitial = initial velocity
vfinal = final velocity

 
The SI unit of workis the Joule (J), which is defined as the work done by a force of one newton acting over a distance of one metre.
The SI unit of Force is Newton (N)
The SI unitof mass is Kilogram (Kg)
The SI unit of distanceis the meter (m)
The SI unit of velocityis the meter per second (m/s)
 
POWER
 
Power is the rate at which work is done.
The SI units for mechanical and electrical Power are the Watt (W), and the Watt (electrical) (We) respectively.



Power is the rate of doing work, or at which energy is converted. It can be thought of as - "amount of energy used to perform work, or converted from one form to another, in a specified period of time, namely, in a second"
 
Power and work
 
power
work
time

Power and displacement
 
Power
Force
Displacement
Time
 
 
 
 
 
 
 
 

Power and velocity
 
Power
Force
Velocity
 
 
 
 
 
 
Kinetic Energy
 
Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its current velocity.
The kinetic energy of an object is the energy which it possesses due to its motion.It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest.
 
Kinetic energy
mass
velocity

 
 
Where
 
Ke  = Kinetic Energy
M  = mass
v  = Velocity
 
 
 
 
 
Potential energy
 
Potential energy is the stored energy of position possessed by an object.
In physics, potential energy is the energy of an object or a system due to the position of the body or the arrangement of the particles of the system.The SI unit for measuring work and energy is the Joule (symbol J).
 
 
Potential energy
Mass
Acceleration of gravity
Height
 
 
 
 
 
 
 
 
 
 
 
 
Centrifugal Acceleration

Acceleration directed toward the center of a circular path. This is called as Centripetal or Centrifugal acceleration.
 
 

Centrifugal acceleration

Centrifugalacceleration (meter per second squared)
Velocity (meter per second)
Radius (meter)



 
 
 
 
Centrifugal force
 
Centrifugal forceis the apparent outward force that draws a rotating body away from the center of rotation. It is caused by the inertia of the body as the body's path is continually redirected. In Newtonian mechanics, the term centrifugal force is used to refer to one of two distinct concepts: an inertial force observed in a non-inertial reference frame, and a reaction force corresponding to a centripetal force.

Centripetal Force:
If  m = Mass,  r = Circular Radius, v = Velocity.
 


Radius:


Velocity:




 
 
 
 
 
 
 
 
Circular Velocity


The velocity at which a body must move in order to maintain an orbit at the outer edge of the earth's atmosphere. This velocity is called as Circular Velocity.


Circular Velocity:
 
Circular velocity
circular velocity (meter per second)
Radius (in meter)
Period (in second)
 
 
 
 
 
 
 
 
 
 
 
 
Velocity
 
If
v0 = initial velocity
v  = final velocity
vave = average velocity
a  = acceleration
t  = time
?x = distance or displacement

Velocity
velocity
acceleration
time
initial velocity


Average Velocity
average velocity
initial velocity
velocity


Displacement
distance or displacement
time
average velocity


Kinetic friction



Kinetic friction
Kinetic friction coefficient
Normal force

Static friction


Static friction
Static friction coefficient
Normal force



Newton Law of Gravity



Newton Law of Gravity states that Every particle attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the distance between them.


 
                                                                       Newton's law of gravity


Gravitational force exerted between two objects

Mass of object 1

Mass of object 2

Distance between the objects




Kepler's Third Law states that The squares of the orbital periods of planets are directly proportional to the cubes of the semi-major axis of the orbits.




Satellite orbit period

Satellite mean orbital radius

Planet mass



Escape Velocity is the minimum velocity needed to escape the gravitational field of a planet or other body. It is also called as Critical or Escape Speed.



Escape or critical speed
Planet mass
Planet radius