the gravitational force between two objects is 3600 n. what will be the gravitational force between the…

Explanation:

Step1: Write the formula for gravitational force

The formula for gravitational force is (F = G\frac{m_1m_2}{r^2}), where (F) is the gravitational force, (G) is the gravitational constant, (m_1) and (m_2) are the masses of the two objects, and (r) is the distance between them.

Step2: Analyze the change in mass

Initially, (F_1=G\frac{m_1m_2}{r^2} = 3600\space N). After the change, (m_1'=\frac{1}{3}m_1) and (m_2'=\frac{1}{3}m_2). The new force (F_2=G\frac{m_1'm_2'}{r^2}). Substitute (m_1') and (m_2') into the formula: (F_2 = G\frac{(\frac{1}{3}m_1)(\frac{1}{3}m_2)}{r^2}).

Step3: Simplify the new - force formula

(F_2=\frac{1}{9}G\frac{m_1m_2}{r^2}). Since (F_1 = G\frac{m_1m_2}{r^2}=3600\space N), then (F_2=\frac{1}{9}F_1).

Step4: Calculate the new force

(F_2=\frac{3600}{9}=400\space N)

Answer:

400 N