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At what altitude above earth’s surface would the gravitational acceleration be 4.9 m/s2

At what altitude above earth’s surface would the gravitational acceleration be 4.9 m/s2

Final answer:The altitude above Earth's surface where the gravitational acceleration is 4.9 m/s^2 is approximately 1,456,190 meters.Explanation:The acceleration due to gravity at a given altitude above Earth's surface can be calculated using the formula:g = G * M / r2Where:g is the acceleration due to gravityG is the gravitational constant (approximately 6.67430 × 10-11 m3 kg-1 s-2)M is the mass of Earth (approximately 5.9726 × 1024 kg)r is the distance from the centre of EarthGiven that the gravitational acceleration is 4.9 m/s2, we can rearrange the formula to solve for r:r = sqrt(G * M / g)Substituting the values, we get:r = sqrt(6.67430 × 10-11 * 5.9726 × 1024 / 4.9)Calculating this expression gives us:r ≈ 1,456,190 metersTherefore, the altitude above Earth's surface where the gravitational acceleration is 4.9 m/s2 is approximately 1,456,190 meters....

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