Weby= R 2CM (1) let, the body be placed at B at a height h from the surface of the Earth. The acceleration due to gravity at B is, g 1= (R+h) 2CM (2) Dividing equation (1) by (2) we get, g 1g = [CM/(R+h) 2]CM/R 2 g 1g = CM×R 2CM×(R+h) 2 g 1g = R 2(R+h) 2 g 1g =(RR+ Rh)2 or, g 1g=(1+ Rh)2 g 1=g(1+ Rh)−2 Now, expanding by using binomial theorem, we get
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WebAt that height, the acceleration due to gravity has decreased to about 1% of the surface value. If we recall that work done is a force times a distance then we can see that multiplying the force of gravity, above, by a … WebAcceleration due to gravity and its variation with height Suppose a person reaches a height equal to half of radius of earth from its surface. In that case, the person might feel … changing transparency in word
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WebSep 12, 2024 · Using density from the ideal gas law, the rate of variation of pressure with height is given as (14.3.11) d p d y = − p ( m g k B T), where constant quantities have been collected inside the parentheses. … WebProof: The acceleration due to gravity is given by, g = F/m. Where F is the force exerted by the Earth on the object of mass, m. This force depends on several factors, and a change … WebJan 16, 2024 · Consider flow on a planet where the acceleration of gravity varies with height so that g = g0 — cz, where g0 and c are constants. Integrate "F = ma" along a streamline to obtain the equivalent of the Bernoulli equation for this flow. 3.9 Consider a compressible liquid that has a constant bulk modulus. harley bluetooth helmet review