Question

A 235 kg object and a 1.37×1012 kg are located 2.59×104 m away from each other. What is the force due to gravity between the two objects?

Answer 1

the force due to gravity between the two objects is 3.2 x 10⁻⁵ N.

Step-by-step explanation:

Given;

mass of the first object, m₁ = 235 kg

mass of the second object, m₂ = 1.37 x 10¹² kg

distance between the two object, r = 2.59 x 10⁴ m

The gravitational force between the two object is calculated as;

`F= (Gm_1m_2)/(r^2)`

where;

G is gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²

`F= ((6.67* 10^(-11))(235)(1.37* 10^(12)))/((2.59* 10^4)^2) \\\\F = 3.2 * 10^(-5) \ N`

Therefore, the force due to gravity between the two objects is 3.2 x 10⁻⁵ N.

Answer 2

F = 3.2 x 10⁻⁵ N

Step-by-step explanation:

The gravitational force of attraction between the two objects is given by Newton's Gravitational law through the following formula:

`F = (Gm_(1)m_(2))/(r^(2))`

where,

F = gravitational force = ?

G = Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m₁ = mass of object 1 = 235 kg

m₂ = mass of object 2 = 1.37 x 10¹² kg

r = distance between objects = 2.59 x 10⁴ m

Therefore,

`F = ((6.67\ x\ 10^(-11)\ Nm^(2)/kg^(2))(235\ kg)(1.37\ x\ 10^(12)\ kg))/((2.59\ x\ 10^(4)\ m)^(2))`

F = 3.2 x 10⁻⁵ N