Gravitational Field Strength Units
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The gravitational constant is taken as the basis of the planck units.
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The gravitational field strength g of a mass m at point r is give by.
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Gravitational field strength units. The gravitational field strength of jupiter is 27 nkg and the probe is 1200 kg. It is equal to the cube of the planck length divided by the product of the planck mass and the square of planck time. 1616 255 18 10 35 m 2176 435. If a second body is placed at distance x from the first body it will experience a gravitational attractive force towards the first body.
In other words in planck units g has the numerical value of 1 while it retains its familiar numerical value if the planck units are measured in si units ie. Depending on the objects shape its centre of mass. Thus a gravitational field is used to explain gravitational phenomena and is measured in newtons per kilogram nkg. Gr earths gravitational field strength or g gravitational constant m e mass of the earth r distance from the center of the earth m gravitational field formula questions.
G g m r2 now the unit of gravitational field strength is determined by the content of its formula g is measured in newton meter squared per kilogram squared ie n. All objects set up a gravitational field around itself. In physics a gravitational field is a model used to explain the influence that a massive body extends into the space around itself producing a force on another massive body. From newtons second law and the definition of the newton free fall acceleration g is also equal to the gravitational force per unit mass.
The units of gravitational field strength n kg 1 and free fall acceleration m s 2 are also equivalent. The gravitational field strength is measured in newtons per kilogram or in the same units as acceleration. The gravitational field strength g at any point in a gravitational field is the gravitational force per unit mass. Its formula is given as.
In its original concept gravity was a force between point masses. The gravitational field strength at a point is defined as gravitational force per unit mass at that pointat any place its value is equal to the value of g at that pointnear the surface of the earththe gravitational field strength is 10 n kg 1. Newtons definition of gravitational force fgm1m2r2. G 6674210 x 10 11 m3 kg 1 s 2 or n m2 kg 2the si unit for gravitational field strength is g.
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