Question

6. Suppose that two chrome steel balls attract each other with a gravitational

force of 16 units. If the mass of both objects was doubled, and if the distance
between the objects was doubled, then what would be the new force of attraction
between the two objects?
4 units
8 units
16 units
32 units
64 units

Answer 1

Step-by-step explanation:

Given:

m₁

m₂

R₁

F₁ = 16 units

m₁' = 2·m₁

m₂' = 2·m₂

R₂ = 2·R₁

_________

F₂ - ?

The force of gravity:

F₁ = G·m₁·m₂ / (R₁)²

F₂ = G·m₁'·m₂' / (R₂)² = G·(2·m₁)·(2·m₂) / (2·R₁)² =

= 4·m₁·m₂ / (4·R₁²) = m₁·m₂ / (R₁)² = F₁

F₂ = F₁ = 16 units