Physics for NMAT

IMPORTANT FORMULAE OF PHYSICS

Some frequently used physics formulae

molar gas constant                                                 R = 8.31 J mol-1-1 K-1

Avogadro constant                                                  NA = 6.02 × 10-23 mol-1

 universal gravitational constant                           G = 6.67 × 10-11N m2 kg-2

speed of light in vacuum                                         c = 3.00 × 10 -8 m s-1

 charge of electron                                                    e = 1.60 × 10-19

electron rest mass                                                     me = 9.11 × 10-31 kg

permittivity of free space                                         e 0 = 8.85 × 10-12 C2 N-1m-2

atomic mass unit                                                         u = 1.661 Í 10-27 kg (1 u is equivalent to 931 MeV)

astronomical unit                                                        AU = 1.50 Í1011m

 light year                                                                      ly = 9.46 Í10 15 m

 parsec                                                                           pc = 3.09 Í10 16 m= 3.26 ly = 206265 AU

 Stefan constant                                                           s = 5.67 Í 10-8 W m−2 K-4

Planck constant                                                            h = 6.63 × 10-34 J

There are different branches of Physics which are given as below:

  • Mechanics
  • Heat
  • Light and Optics
  • Electricity
  • Magnetism
  • Nuclear Physics

Physical quantities in Physics can be classified into two groups. They are:

  1. Fundamental quantities that include Length (l), Mass (m), Time (t), Luminous Intensity (I), Temperature (T), Electric Current (I), Amount of Substance (mol)
  2. Derived quantities that includes Perimeter = 2(l+b), Area lenghth *breath

Volume = length * breadth* height, Density = mass/volume, force = ma*acceration and so on

Please note, * stands for multiplication

Motion in straight line

Speed  = change in distance/ time taken

Velocity = change in displacement/ time taken

Some Important Relation between different physical quantities of speed and velocity

d = v.t                                                        where, d = displacement

a =( v – u)/t                                                            a = acceleration

v=( v + u)/t                                                           u = Initial velocity

d = (v– u2)/2a                                                       v = final velocity

s = ut +1/2(at2)                                                       t = time

t = (v – u)/g                                                             g = acceleration due to gravity

Projectile Motion

  • In absence of air resistance no force acts except the weight
  • Projectile motion undergoes two independent motion that’s horizontal motion ad vertical motion
  • Projectile Motion Formula (trajectory formula) is articulated
  • Where,
    the velocity along the x-axis is Vx,
    the initial velocity along the x-axis is Vxo,
    the velocity along the y-axis is Vy,
    the initial velocity along the y-axis is Vyo.
    acceleration due to gravity is g, and
    the time taken is t
  • Equations associated with the trajectory motion (projectile motion) are articulated as,
  • Where,
    the initial Velocity is Vo,
    the component along the y-axis is sin θ,
    the component along the x-axis is cos θ.
  • Projectile Motion formula is made use of to calculate the distance, velocity and time engaged in the projectile motion.

Uniform Circular Motion

In a uniform circular motion, the speed is constant but the direction is consistently changing and hence velocity is changing and it is accelerated

V = (2Πr)/T    OR  We can also calculate from v =  (πD)/T

Here, V = velocity

R = Radius

D = Diameter

Simple Harmonic Motion

Period = T = Time taken for one complete vibration

Frequency = Number of vibration per unit timeS

Frequency (f) = 1/T

Force

force= mass x acceleration

F = ma

F = force

m = mass

a = acceleration

FRICTION

F = μN

Where N is the normal force and μis the friction coefficient for your materials and whether they’re stationary or moving. The normal force is equal to the weight of the object, so this can also be written:

F = μmg

Where m is the mass of the object and g is the acceleration due to gravity. The friction acts to oppose the motion of the object.

Factors affecting Friction are as follows:

  • Nature of surface
  • Kind of surface
  • Weight of body
  • Area of the body of the object does not affect the friction
  • The average velocity affect the frictional force

GRAVITATIONAL FORCE                     

Fg = G (M1M2)/R2

Fg = gravitational force between two objects

G = gravitational constant

m1 = mass of the first object

m2 = mass of the second object

r = distance between objects

Momentum, Force, and Impulse

Momentum is the product of mass and velocity of a body. Momentum is calculate using the formula: P = m (mass) xv (velocity)

Force can be defined as something which causes a change in momentum of a body. Force is given by the celebrated newton’s law of motion: F = m (mass) x a (acceleration)

Impulse is a large force applied in a very short time period. The strike of a hammer is an impulse. Impulse is given by I = m(v-u)
Note that momentum, force, and impulse are all vector quantities 

Pressure

Pressure is defined as force per unit area:

Pressure (P) = Force (F)/Area (A)

Density
Density is the mass contained in a body per unit volume.

The formula for density is:
Density (D) = Mass(M)/Volume (V)

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