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With compressive force counted as negative tensile force, the rate of change of the tensile force in the direction of the g-force, per unit mass (the change between parts of the object such that the slice of the object between them has unit mass), is equal to the g-force plus the non-gravitational external forces on the slice, if any (counted ...
Newton's law of gravitation resembles Coulomb's law of electrical forces, which is used to calculate the magnitude of the electrical force arising between two charged bodies. Both are inverse-square laws, where force is inversely proportional to the square of the distance between the bodies. Coulomb's law has charge in place of mass and a ...
A common misconception occurs between centre of mass and centre of gravity.They are defined in similar ways but are not exactly the same quantity. Centre of mass is the mathematical description of placing all the mass in the region considered to one position, centre of gravity is a real physical quantity, the point of a body where the gravitational force acts.
A set of equations describing the trajectories of objects subject to a constant gravitational force under normal Earth-bound conditions.Assuming constant acceleration g due to Earth's gravity, Newton's law of universal gravitation simplifies to F = mg, where F is the force exerted on a mass m by the Earth's gravitational field of strength g.
The gravitational constant G is a key quantity in Newton's law of universal gravitation. The gravitational constant is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
Specific force (SF) is a mass-specific quantity defined as the quotient of force per unit mass. S F = F / m {\displaystyle \mathrm {SF} =F/m} It is a physical quantity of kind acceleration , with dimension of length per time squared and units of metre per second squared (m·s −2 ).
In addition to Gauss's law, the assumption is used that g is irrotational (has zero curl), as gravity is a conservative force: ∇ × g = 0 {\displaystyle \nabla \times \mathbf {g} =0} Even these are not enough: Boundary conditions on g are also necessary to prove Newton's law, such as the assumption that the field is zero infinitely far from a ...
Then the attraction force vector onto a sample mass can be expressed as: F = m g {\displaystyle \mathbf {F} =m\mathbf {g} } Here g {\displaystyle \mathbf {g} } is the frictionless , free-fall acceleration sustained by the sampling mass m {\displaystyle m} under the attraction of the gravitational source.