Two uniform spheres, each with mass MM and radius RR, touch one another.What is the magnitude of their gravitational force of attraction?. Express your answer in terms of the variables MM and RR and appropriate constants.

Question

Question:

Two uniform spheres, each with mass MM and radius RR, touch one another.What is the magnitude of their gravitational force of attraction?. Express your answer in terms of the variables MM and RR and appropriate constants.

Answer:

Defines the magnitude of attractive gravitational force between two bodies of masses m1 and m2 when they are separated by a distance r.
R represents the separation of the centers of mass of the bodies
G =6.67 X 10-11 N.m2/kg2
M1=m2=M
The separation of the centers of the touching spheres (centers of their masses)
Is r= 2R
The magnitude of the gravitational attraction between them is
Fg =GM2/(2R)2=GM2/4R2

Hence the result is GM2/4R2

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Sam Professor 2 years 1 Answer 720 views 0

Answer ( 1 )

  1. Defines the magnitude of attractive gravitational force between two bodies of masses m1 and m2 when they are separated by a distance r.
    R represents the separation of the centers of mass of the bodies
    G =6.67 X 10-11 N.m2/kg2
    M1=m2=M
    The separation of the centers of the touching spheres (centers of their masses)
    Is r= 2R
    The magnitude of the gravitational attraction between them is
    Fg =GM2/(2R)2=GM2/4R2

    Hence the result is GM2/4R2

    Best answer

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