Newton’s Law of Universal Gravitation

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Newton’s Law of Universal Gravitation. SPH 4U. Newton’s Law of Universal Gravitation. Where is the force of gravity, in Newtons is the gravitational constant, equal to 6.67 x 10 -11 Nm 2 /kg 2 is the mass of object 1, in kilograms is the mass of object 2, in kilograms

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### Newton’s Law of Universal Gravitation

SPH 4U

Newton’s Law of Universal Gravitation

Where

is the force of gravity, in Newtons

is the gravitational constant,

equal to 6.67 x 10-11 Nm2/kg2

is the mass of object 1, in kilograms

is the mass of object 2, in kilograms

is the distance between the centres, in metres

Important Things to Remember
• The mass of the earth is 5.98 x 1024 kg
• The radius of the earth is 6.371 x 106 m

 These can be found on your formula sheet

Example 1:

The Red Bull Stratos jumper began his free fall 37000 m above the surface of the Earth. If his mass was 118 kg, what force of gravity did he experience as he left his vehicle?

Example 2:

Two students, each with a mass of 70 kg, are 1.5 m apart. Determine the force of gravity caused by each student.

Gravitational Field Strength
• The strength of gravity at a given point in space
• The gravitational field strength can be found by:
Example 3:

Find the gravitational field strength on Saturn, if it has a radius of 6.03 x 107m and a mass of 5.69 x 1026 kg.

Practice

p. 296 # 1 – 8, 11

Extra Practice:

p. 293 # 1 – 3; p. 295 # 1, 2