Point-like object is an expression, usual in kinematics: a point-like object (or a particle) is an object with dimensions, which can be neglected while considering its motion.
In general, critical point is the point on the phase diagram of a two-phase system at which the two coexisting phases have identical properties and therefore represent a single phase. At the liquid-gas critical point of a pure substance, the distinction between liquid and gas vanishes, and the vapour pressure curve ends. The coordinates of this point are called the critical temperature and critical pressure. Above the critical temperature it is not possible to liquefy the substance.
Eequivalence point is the point in a titration when enough titrant has been added to react completely with the analyte.
Isoelectric point (pI or IEP) is the pH of a solution or dispersion at which the net charge on the molecules or colloidal particles is zero. In electrophoresis there is no motion of the particles in an electric field at the isoelectric point. The net charge (the algebraic sum of all the charged groups present) of any amino acid, peptide or protein, will depend upon the pH of the surrounding aqueous environment. For example, alanine can have a charge of +1, 0, or -1, depending on the pH of the solution in which it is dissolved.
Triple point is the point in p,T space where the solid, liquid, and gas phases of a substance are in thermodynamic equilibrium.
If a point-like object undergoes a change in velocity Δv=vf-vi in time Δt=tf-ti (indexes i and f stand for initial and final instant as well as for initial and final velocity) its average acceleration, a is defined as
The instantaneous acceleration, a, is obtained from the average acceleration by shrinking the time interval Δt towards zero. The average acceleration approaches a limiting value, which is the acceleration of a given instant:
Acceleration is a vector quantity. SI unit for acceleration is m s-2.
Angular momentum is a physical quantity defined for rotating motion (in analogy to momentum that is defined for linear motion). If a body rotates around a specified axis, its angular momentum equals
Where I is the rotational inertia concerning that axis and ω is the angular velocity of the body.
Angular momentum can also be defined for a point-like body concerning a specified origin (in that case, it is not necessary that the point-like body undergoes circular motion). Rotational inertia of the point-like body, concerning that origin equals:
Where m is the mass of the body and r is its distance from the origin.
A point-like object that undergoes circular motion changes its angular position from initial Θi to final Θf, relative to a fixed axis, specified in a coordinate system with an origin that coincides the centre of the circular path of object. The change in its angular position is called angular displacement ΔΘ = Θf - Θi. Also, a rigid body that rotates about a specified rotation axis, changing its angular position from initial Θi to final Θf, undergoes an angular displacement ΔΘ.
The average angular velocity, ωav, is the ratio of the angular displacement and the time interval Δt=tf-ti, in which that displacement occurs.
Θf and Θi are the initial and final angular position, respectively.
The instantaneous angular velocity ω is the limit of the average angular velocity, as Δt is made to approach zero.
ωav and ω are positive for the counterclockwise rotation (in direction of increasing Θ) and negative for the clockwise rotation (in direction of decreasing Θ).
SI unit for angular velocity is s-1.The measure for the angle Θ is radian. The relationship between radians and degrees is:
For example, the angular velocity of the minute hand of a clock is:
Every object in the universe attracts every other object with a force (gravitational force FG) directed along the line through centres of the two objects that is proportional to the product of their masses and inversely proportional to the square of the distance between them.
m1 and m2 are masses of the two objects and r is the distance between them. G is universal constant of gravitation, which equals 6.67•10-26 N m2 kg-2. Strictly speaking, this law applies only to objects that can be considered pointlike object. Otherwise, the force has to be found by integrating the forces between various mass elements.
It is more properly to express Newton’s gravitational law by vector equation:
in which r1 and r2 are position vectors of masses m1 and m2.
Gravitational forces act on distance. Newton’s gravitational law is derived from Kepler’s law for planetary motion, using a physical assumption considering Sun as the centre and the source of gravitational force.
Additionally, every object moves in the direction of the force acting on it, with acceleration that is inversely proportional to the mass of object. For bodies on the surface of Earth, the distance r in gravitational law formula is practically equal to the Earth radius, RE. If the mass of the body on Earth surface is m and the mass of earth is ME, the gravitational force acting on that body can be expressed as:
where g is gravitational acceleration which is, although dependent on geographical latitude, usually considered as constant equal to 9.81 m s-2.
The location of a point-like object relative to the origin of a coordinate system is given by a position vector r, which in unit vector notation is
where x, y and z are the scalar components of r.
Generalic, Eni. "Materijalna točka." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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