1. Newton’s Law of Universal Gravitation
Formula and Explanation

2. Newton’s Law of Universal Gravitation
To calculate the force of gravitation
F = G m1m d2
m1 and m2 = the mass of the objects in kg G = gravitational constant of x N*m2/kg2 d is the distance between the objects in m F = gravitational force between the 2 objects

3. Gravitational Force
If the value of the constant gravitational force G were to increase by a factor of 10, we would be crushed
If G were to decrease by a factor of 10, we would be able to jump over a tall building

4. Sample Problem 1
Determine the force of gravitational attraction between the earth (m = 5.98 x 1024 kg) and a 70-kg physics student if the student is standing at sea level, a distance of 6.38 x 106 m from earth's center.
F = Gm1m2 = (6.67 x N*m2/kg2 )*(5.98 x 1024 kg )*(70kg) d (6.38 x 106m)2
F = 686N

5. Sample Problem 2
Determine the force of gravitational attraction between the earth (m = 5.98 x 1024 kg) and a 70-kg physics student if the student is in an airplane at feet above earth's surface. This would place the student a distance of 6.39 x 106 m from earth's center.
F =Gm1m2 = (6.67 x N*m2/kg2 )*(5.98 x 1024 kg )*(70kg) d (6.39 x 106m)2
F = 684 N