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Mechanics

Acceleration due to gravity formula and problems

What is gravitational acceleration? Acceleration of a freely falling bodies is called gravitational acceleration.The value of gravitational acceleration is 10 ms-².   Why value of g varies with altitude? Above formula shows that the value of acceleration due to gravity g depends on the radius of the earth at its surface.The value of g is inversely  proportional to the square ...

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What is the law of conservation of enegy

What does law of conservation of energy mean? According to law of conservation of energy:”Energy can neither be created nor is it destroyed.It can only be transformed from one form to another.A loss in one form of energy is accompanied by an equal increase in the other forms of energy.The total energy remains constant.” According to Einstein’s mass energy relation: ...

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Definition of motion in physics

Motion and its types physics: “A body is said to be in motion,if it changes its position with respect to its surroundings.” Surroundings are the places in its neighborhood where various objects are present.The state of rest or motion of a body is relative.For example,a passenger sitting in a moving bus is at rest because he is not changing his ...

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Moment of inertia units

Moment of inertia: Moment of inertia is defined as:”The sum of the products of the mass of each particle of the body and square of its perpendicular distance from axis.”For a rigid body moving about a fixed axis,the laws of motion have the same form as those of rectilinear motion,with moment of inertia replacing mass,angular replacing linear velocity,angular momentum replacing ...

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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 ...

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Formula for Potential energy

What is potential energy? Potential energy is defined as:“Energy due to position is called potential energy.” When a diver jumps off a high  board into a swimming pool,he hits the water moving pretty fast,with a lot of kinetic energy.Where does that energy come from?The answer is that gravitational force (his weight) does work on the diver as he falls.The diver’s ...

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kinematic Viscosity of water

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 ...

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Work energy theorem problems with solutions

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: Wnet = Kf –Ki = ∆k An unbalanced force applied to a particle will certainly change the particle’s state of motion.Newton’s second law provides us with ...

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kepler's laws of planetary motion

 kepler’s 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 gravitational force only ...

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Bernoulli equation example

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: P+ ρgh +1/2 ρv2 =constant Bernoulli’s equation,which is a fundamental relation in fluid mechanics,is not a new principle but ...

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