Question

Particle is non zero.
Q8. Write the dimensions of force of gravity
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Answer 1

Answer:

$❥\huge\underline\mathfrak\purple{Answer}$

Or, G = [M1 L1 T-2] × [L]2 × [M]-2 = [M-1 L3 T-2]. Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.

Answer 2

Answer:

Proof

From Newton's Law of Universal Gravitation:

F=Gm1m2rr3

We have that:

The dimension of force is MLT−2

The dimension of displacement is L

The dimension of mass is M.

Let x be the dimension of G.

Then we have:

MLT−2=xM2LL3

Hence, after algebra:

x=M−1L3T−2

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