GRAVITATIONAL force of attraction by any planet is called acceleration due to GRAVITY by the planet.As each planet has different mass and radius so the acceleration due to gravity will be different for different planet.Acceleration due to gravity of the planet having mass M is given by:\(G = \frac{{GM}}{{{R^2}}}\)Where G is Universal gravitational constant and r is the radius of the planetCalculation:Gravitational acceleration at the surface of planet M is-\(g = \frac{{GM}}{{{R^2}}} = \frac{{G\left( {ρ \frac{4}{3}\pi {R^3}} \right)}}{{{R^2}}} ∝ ρ R\)As Mass = Density × volume.g ∝ ρ R \(\Rightarrow \frac{{{g_1}}}{{{g_2}}} = \frac{{{\RHO _1}{R_1}}}{{{\rho _2}{R_2}}}\)

"> GRAVITATIONAL force of attraction by any planet is called acceleration due to GRAVITY by the planet.As each planet has different mass and radius so the acceleration due to gravity will be different for different planet.Acceleration due to gravity of the planet having mass M is given by:\(G = \frac{{GM}}{{{R^2}}}\)Where G is Universal gravitational constant and r is the radius of the planetCalculation:Gravitational acceleration at the surface of planet M is-\(g = \frac{{GM}}{{{R^2}}} = \frac{{G\left( {ρ \frac{4}{3}\pi {R^3}} \right)}}{{{R^2}}} ∝ ρ R\)As Mass = Density × volume.g ∝ ρ R \(\Rightarrow \frac{{{g_1}}}{{{g_2}}} = \frac{{{\RHO _1}{R_1}}}{{{\rho _2}{R_2}}}\)

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The radii of two planets are respectively R1 and R2 and their densities are respectively ρ1 and ρ2. The ratio of the acceleration due to gravity (g1/g2) at their surface is

General Knowledge General Awareness in General Knowledge 8 months ago

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Concept:The acceleration achieved by any object due to the GRAVITATIONAL force of attraction by any planet is called acceleration due to GRAVITY by the planet.As each planet has different mass and radius so the acceleration due to gravity will be different for different planet.Acceleration due to gravity of the planet having mass M is given by:\(G = \frac{{GM}}{{{R^2}}}\)Where G is Universal gravitational constant and r is the radius of the planetCalculation:Gravitational acceleration at the surface of planet M is-\(g = \frac{{GM}}{{{R^2}}} = \frac{{G\left( {ρ \frac{4}{3}\pi {R^3}} \right)}}{{{R^2}}} ∝ ρ R\)As Mass = Density × volume.g ∝ ρ R \(\Rightarrow \frac{{{g_1}}}{{{g_2}}} = \frac{{{\RHO _1}{R_1}}}{{{\rho _2}{R_2}}}\)

Posted on 27 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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