Question

explain newtons law of gravitation in vector form

Answer 1

• Newtons law of gravitation can be expressed in vector form.
• Newtons law of gravitation describes the attraction force between two objects having mass.
• The gravitational force is directly proportional to product of the masses and inversely proportional to the square of the distance between them.
• To represent the law in terms of vectors, let m1 and m2 be point masses at positions r1→ and r2→.

•   r12→=r1→−r2→
• And r12=∥r1→−r2→∥ is the simple distance between the two masses
• similarly
• r21→=r2→−r1→ here r21→ points from m1 to m2 and r21^ is a unit vector in the direction of r21→
• Similarly r21=∥r2→−r1→∥ is the distance between the  two masses .
• Thus the force of gravitation on each mass is:
• Fgm1→=−G*m1*m2*r12^/square of r12
• Fgm2→=−G*m1*m2*r21^*/square of r21
• where G is the universal gravitational constant.

Answer 2

Explanation:

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