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# Mechanics

## How to find density with mass and volume?

What is Density? “Mass per unit volume  of a material is called density.”Density is an important property of any material.A homogeneous material such as ice or iron has the same density throughout.We use  (the Greek letter rho) for density.If a mass m of homogeneous material has volume V ,the density  is: Two objects made of the same material have the ...

## gravitational potential energy formula derivation and examples

Gravitational potential energy definition We know that a particle gains or loses kinetic energy because it interacts with other objects that exert forces on it.During any interaction,the change in a particle’s kinetic energy is equal to the work done on the particle by the forces that act on it. Examples of gravitational potential energy in everyday life In many situations ...

## Viscosity of fluids and Poiseuille’s law with applications

What is Viscosity? “Viscosity is the  internal friction in a fluid.”Viscous forces opposes the motion of one portion of a fluid relative to another.Viscosity is the reason it takes effort to paddle a canoe through calm water,but it is also the reason the paddle works.Viscous effects are important in the flow of fluids in pipes,the flow of blood,the lubrication of ...

## How are work and energy related in work energy theorem?

What is the work energy theorem? Work energy theorem states that:“The net work done by the forces acting on the body is equal to the change in kinetic energy of the body.”Mathematically it is expressed as: Work energy theorem formula Wnet = Kf –Ki = ∆k An unbalanced force applied to a particle will certainly change the particle’s state of motion.Newton’s second ...

## kepler’s laws of planetary motion definition and equation

What are kepler’s three laws of planetary motion? Using newton’s laws of motion and law of universal gravitation,we can understand and analyze the behavior of all the bodies in the solar system:the orbits of the planets and comets about the sun and of natural and artificial satellites about their planets.We make two assumption that simplify the analysis: We consider the ...

## Bernoulli’s principle equation derivation with applications

What is Bernoulli equation? Bernoulli’s equation is defined as:”The sum of pressure,the kinetic and potential energies per unit volume in a steady flow of an in compressible and non viscous fluid remains constant at every point of its path.”Mathematically it is expressed as: Bernoulli’s principle formula P+ ρgh +1/2 ρv2 =constant Bernoulli’s equation,which is a fundamental relation in fluid mechanics,is not a ...

## Continuity equation derivation in fluid mechanics with applications

General Concept of Fluid Flow One way of describing the motion of a fluid is to divide the fluid into infinitesimal volume elements,which we may call fluid particles,and to follow the motion of each particle. If we knew the forces acting on each fluid particle,we could then solve for the coordinates and velocities of each particle as functions of the ...

## Terminal Velocity formula

What is Terminal Velocity? “When a magnitude of the drag force becomes equal to the weight,the acting force acting on the droplet is zero. Then the droplet will fall with constant speed called terminal velocity.” Before we going to discuss terminal velocity,we will first shortly explain viscosity and Stokes law. What is viscosity? “The fractional effect between different layers of ...