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PHY2048_11-04-09

# PHY2048_11-04-09 - Gravitation near the earth's Surface If...

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If we assume that the earth is a sphere of mass , the magnitude of the force exerted by the earth on an object of mass Gravitation near the e placed at a distance arth's Su from t rf he ace center M F m r 2 of the earth is: GMm F r = 2 The gravitational force results in an acceleration known as . Using New gravitational acceleration free fall accele ton's second law we have that Up to this point we have assuned that the rati g g a GM a r = r near the surface of the earth is constant. However if we measure g at various points on the surface of the earth we find that its value is not constant. This is attributed to three reas on ons: g The density of the earth varies radially as shown in the figure The density of the outer section varies f 1. The earth's mass is not rom region to region over t unirormly di he earth's su stribu rfa ted ce. Thus g varies from point to point (13-5)

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y-axis . Earth is approximately an ellipsoid flattened at the poles and bulging at the equator. Its equatorial radius is larger than the polar radius 2. The eart by 21 km. h is n Thus t ot a sphe he va re lue of g at sea level increases as one goes from the equator to the poles 2 Consider the crate shown in the figure.
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PHY2048_11-04-09 - Gravitation near the earth's Surface If...

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