Question

show the dimensionally correct F=Gm1m2/r2

Answer 1

Answer:

Newton's Law of Gravita- tion states that two objects with masses m1 and m2, with a distance r between their cen- ters, attract each other with a force F given by: F = Gm1m2/r2 where G is the Universal Grav- itational Constant (equal to: 6.672 x 10-11Nm2/kg2).

Answer 2

Answer:

The dimension of the gravitational constant G is M−1L3T−2. Proof. From Newton's Law of Universal Gravitation: F = ...

Question: F=Gm1m2/r2The Units Of Force Are Kg*m/s2 , The Units Of Massare Kg, And The Units Of Distance Are M.

Explanation:

Explanation:

F

is the force of gravity:

k

g

⋅

m

s

2

M

and

m

are masses, in

k

g

r

is the distance between the masses, in

m

(meters)

This gives

k

g

⋅

m

s

2

=

G

×

k

g

2

m

2

m

2

⋅

k

g

⋅

m

s

2

=

G

×

k

g

2

m

2

⋅

k

g

⋅

m

s

2

⋅

1

k

2

=

G

m

2

⋅

k

g

⋅

m

s

2

⋅

1

k

2

=

G

m

3

s

2

⋅

1

k

=

G

G

=

m

3

k

g

⋅

s

2