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Gravity on the Earth's surface varies by around 0.7%, from 9.7639 m/s 2 on the Nevado Huascarán mountain in Peru to 9.8337 m/s 2 at the surface of the Arctic Ocean. [6] In large cities, it ranges from 9.7806 m/s 2 [7] in Kuala Lumpur, Mexico City, and Singapore to 9.825 m/s 2 in Oslo and Helsinki.
At a fixed point on the surface, the magnitude of Earth's gravity results from combined effect of gravitation and the centrifugal force from Earth's rotation. [ 2 ] [ 3 ] At different points on Earth's surface, the free fall acceleration ranges from 9.764 to 9.834 m/s 2 (32.03 to 32.26 ft/s 2 ), [ 4 ] depending on altitude , latitude , and ...
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.
In unit systems where force is a derived unit, like in SI units, g c is equal to 1. In unit systems where force is a primary unit, like in imperial and US customary measurement systems , g c may or may not equal 1 depending on the units used, and value other than 1 may be required to obtain correct results. [ 2 ]
The "force constant" is just the coefficient of the displacement term in the equation of motion: m a + b v + k x + constant = F(X,t) m mass, a acceleration, b viscosity, v velocity, k force constant, x displacement F external force as a function of location/position and time. F is the force being measured, and F / m is the acceleration.
Therefore, the movements of the celestial bodies should be modified in the order v/c, where v is the relative speed between the bodies and c is the speed of gravity. The effect of a finite speed of gravity goes to zero as c goes to infinity, but not as 1/c 2 as it does in modern theories.
Smallest force of gravity measured [6] [7] 10 −15 femtonewton (fN) 10 −14 ~10 fN Brownian motion force on an E. coli bacterium averaged over 1 second [8] ~10 fN Weight of an E. coli bacterium [9] [10] 10 −13 ~100 fN Force to stretch double-stranded DNA to 50% relative extension [8] 10 −12 piconewton (pN) ~4 pN Force to break a hydrogen ...
The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them: [11] Diagram of two masses attracting one another = where F is the force between the masses; G is the Newtonian constant of gravitation (6.674 × 10 −11 m 3 ⋅kg −1 ⋅s −2);