About Gravitational Force?

2015-08-31 12:13 pm
An object of mass 5kg has a weight 8.2N on the surface of the moon. Let the radius of the moon be R. Then, what is the gravitational field strength at a point distance 2R from the centre of the moon?

回答 (2)

2015-08-31 12:36 pm
✔ 最佳答案
gravitational field strength at R = F/m = 8.2/5 = 1.64 m/s^2
gravitational field strength at 2R / gravitational field strength at R = (R/2R)^2 = 1/4
gravitational field strength at 2R = 1.64/4 = 0.41m/s^2
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2015-09-01 4:42 am
8.2 = GM(5)/R^2
where G is the Gravitational Constant
M is the mass of the moon
Hence, GM/R^2 = 8.2/5

At distance of 2R,
Gravitational field strength g = GM/(2R)^2 = GM/(4R^2)
thus, g = (1/4).(8.2/5) N/kg = 0.41 N/kg


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