Question

What is the force of gravity between two 3.0 kg masses 1.0 m apart?

Answer 1

The force of gravity between two 3.0 kg masses 1.0 m apart is 2.00x10^-10 N.

Step-by-step explanation:

The force of gravity between two masses can be calculated using the equation F = Gm1m2/r2, where F is the force of gravity, G is the gravitational constant (6.673x10-11 N·m²/kg²), m1 and m2 are the masses of the two objects (in this case, both masses are 3.0 kg), and r is the distance between the centers of the two masses (which is 1.0 m).

Plugging in the values, we can calculate the force:

F = (6.673x10-11 N·m²/kg²)(3.0 kg)(3.0 kg)/(1.0 m)2

F = 2.00x10-10 N

Answer 2

m₁ = mass of the first object = 3.0 kg

m₂ = mass of the second object = 3.0 kg

r = distance between the first and second object = 1.0 m

G = universal gravitational constant = 6.67 x 10⁻¹¹ N m²/kg²

F = force of gravity between the two objects = ?

according to law of gravitation, force of attraction "F" between two objects m₁ and m₂, placed distance "r" apart is given as

F = G m₁ m₂/r²

inserting the values

F = (6.67 x 10⁻¹¹) (3.0) (3.0)/(1.0)²

F = (6.67 x 10⁻¹¹) (9.0)

F = 60.03 x 10⁻¹¹ N

F = 6.003 x 10⁻¹⁰ N