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This formulation is dependent on the objects causing the field. The field has units of acceleration; in SI, this is m/s 2. Gravitational fields are also conservative; that is, the work done by gravity from one position to another is path-independent. This has the consequence that there exists a gravitational potential field V(r) such that
The gravitational acceleration vector depends only on how massive the field source is and on the distance 'r' to the sample mass . It does not depend on the magnitude of the small sample mass. This model represents the "far-field" gravitational acceleration associated with a massive body.
The acceleration of a falling body in the absence of resistances to motion is dependent only on the gravitational field strength g (also called acceleration due to gravity). By Newton's Second Law the force F g {\displaystyle \mathbf {F_{g}} } acting on a body is given by: F g = m g . {\displaystyle \mathbf {F_{g}} =m\mathbf {g} .}
Consequently, the acceleration is the second derivative of position, [7] often written . Position, when thought of as a displacement from an origin point, is a vector: a quantity with both magnitude and direction. [9]: 1 Velocity and acceleration are vector quantities as well. The mathematical tools of vector algebra provide the means to ...
Acceleration of Earth toward the sun due to sun's gravitational attraction 10 −1: 1 dm/s 2: lab 0.25 m/s 2: 0.026 g: Train acceleration for SJ X2 [citation needed] 10 0: 1 m/s 2: inertial 1.62 m/s 2: 0.1654 g: Standing on the Moon at its equator [citation needed] lab 4.3 m/s 2: 0.44 g: Car acceleration 0–100 km/h in 6.4 s with a Saab 9-5 ...
The weight of an object on Earth's surface is the downwards force on that object, given by Newton's second law of motion, or F = m a (force = mass × acceleration). Gravitational acceleration contributes to the total gravity acceleration, but other factors, such as the rotation of Earth, also contribute, and, therefore, affect the weight of the ...
If you'd instead put your $10,000 into an S&P 500 (SNPINDEX: ^GSPC) index fund, you would've had just $11,900 at the end of the year. An equal investment in an S&P 500 index fund would be worth ...
Gravitational acceleration, the acceleration caused by the gravitational attraction of massive bodies in general; Gravity of Earth, the acceleration caused by the combination of gravitational attraction and centrifugal force of the Earth; Standard gravity, or g, the standard value of gravitational acceleration at sea level on Earth