Question

Objects 1 and 2 attract each other with a gravitational force

Answer 1

The new gravitational force of the two objects will be 432 N.

The given parameters:

• Force between object 1 and object 2, F = 18 N

• Let the mass of object 1 = m1
• Let the mass of object 2 = m2
• Let the distance between the two object = r

The gravitational force between the two objects is calculated by applying Newton's law of universal gravitation;

$F = \frac{Gm_1m_2}{r^2} \\\\G = \frac{Fr^2}{m_1m_2}\\\\G = \frac{Gm_1m_2}{r^2} \\\\G = \frac{18r^2}{m_1m_2}$

• when the mass of the object 1 = 2m1
• mass of the object 2 = 3m2
• distance between the two object = ¹/₂r

$\frac{18r^2}{m_1 m_2 } = \frac{F_2(\frac{1}{2}r)^2 }{2m_1 \times 3m_2} \\\\\frac{18r^2}{m_1 m_2 } = \frac{F_2 \times r^2}{4 \times 2m_1 \times 3m_2} \\\\\frac{18r^2\times 4 \times 2m_1 \times 3m_2}{m_1 m_2\times r^2 } = F_2\\\\432 \ N = F_2$

Thus, the new gravitational force of the two objects will be 432 N.

Learn more about Newton's law of universal gravitation here: brainly.com/question/9373839