{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Gravity near the earth

# Gravity near the earth - Gravity near the earth We can...

This preview shows pages 1–2. Sign up to view the full content.

Gravity near the earth We can apply the Universal Law of Gravitation to objects near the earth also. For an object at or near the surface of the earth, the force due to gravity acts (for reasons that will become clearer in the section on Newton's Shell Theory ) toward the center of the earth. That is, it acts downwards because every particle in the earth is attracting the object. The magnitude of the force on an object of mass m is given by: F = where r e 2 is the radius of the earth. Let us calculate the constant : = 9.74 This is the acceleration due to gravity on the earth (the figure is usually given as 9.8 m/sec 2 , but the value varies considerably at different places on the earth's surface). Thus if we rename the constants = g , then we have the familiar equation F = mg which determines all free-fall motion near the earth. We can also calculate the value of g that an astronaut in a space shuttle would feel orbiting at a height of 200 kilometers above the earth: g 1 = =(6.67×10 -11 )(5.98×10 24 )(6.4×10 6 +2×10 5 ) -2 = 9.16

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern