state
Newton's law
Express in mathematical form
Answers
Answer:
Explanation:
Newton's universal law of gravitation: Every object in the Universe attracts every other object with a definite force. This force is directly proportional to the product of the masses of the two object s and inversely proportional to the square of the distance between them.
Mathematical form : Consider two objects of masses m1 and m2. We assume that the objects are very small spheres of uniform density and the distance r between their centres is very large compared to the radii of the spheres.
The magnitude (F) of the gravitational force of attraction between the objects is directly proportional to m1m2 and inversely proportional to r2.
∴F∝m1m2r2 ∴F=Gm1m2r2
where G is the constant of proportionally , called the universal gravitational constant .
Answer:
Newton's laws of motion are three physical laws that, together, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces.