show that in vector form of newton law of gravitational is f vector 12= - F vector 21
Answers
Answer:
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
Directly proportional to the product of their masses i.e. F ∝ (M1M2) . . . . (1)
Inversely proportional to the square of the distance between their centre i.e. (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2 [f(r)is a variable, Non-contact, and conservative force]
As f(r) varies inversely as a square of ‘r’ it is also known as inverse square law force. The proportionality constant (G) in the above equation is known as gravitational constant.
The dimension formula of G is [M-1L3T-2]. Also, the value of the gravitational constant,
In SI units: 6.67 × 10-11 Nm2 kg-2,
In CGS units: 6.67×10-8 dyne cm2 g-2
Answer:
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