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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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. The crate is resting on a scale at a point on the equator
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online