Universal Gravitation What is Universal Gravitation? Force which is directly proportional to the product of two masses Equation? G = universal gravitation constant G = 6. 67 x 10 -11 N m 2/ kg 2 m = mass of an object r = distance between the center of mass of the two objects
Gravitational Force What Any is a Gravitational Force? two masses that exert on each other Example of action-reaction pair
Practice A 1 kg object is located at a distance of 6. 4 x 106 m from the center of a larger object whose mass is 6. 0 x 1024 kg. Find the gravitational attraction between them.
DIY Two spherical objects have masses of 1. 5 x 105 kg and 8. 5 x 102 kg. Their centers are separated by a distance of 2500 m. Find the gravitational attraction between them.
Gravitational Field What is Gravitational Field? Strength planets of field where there is a force of attraction in different Equation? g = G m/ r 2 m= mass of planet g = gravitational field strength r = radius of planet G = universal gravitation constant = 6. 67 x 10 -11 N m 2/ kg 2
Practice Compute g at a distance of 4. 5 x 107 m from the center of a spherical object whose mass is 3. 0 x 1023 kg.
DIY Compute g for the surface of the sun. Its radius is 7. 0 x 10 8 m and its mass is 2. 0 x 1030 kg.
Important Concepts Fg exists between two masses, regardless of: the medium separating them their size or composition