$$F = \frac{Gm_1m_2}{r^2}$$
where:
- F is the gravitational force between the two objects (in Newtons)
- G is the gravitational constant (approximately 6.674 × 10^-11 N m^2 kg^-2)
- m1 and m2 are the masses of the two objects (in kilograms)
- r is the distance between the centers of the two objects (in meters)
If we assume that the other balloon has a mass of m2, then the force of gravitational attraction between the two balloons is:
$$F = \frac{Gm_1m_2}{r^2}$$
Since the two balloons are moving toward or away from each other, we can write the equation of motion for the balloon with a mass of 0.084 kg as:
$$m_1a = \frac{Gm_1m_2}{r^2}$$
where a is the acceleration of the balloon.
Solving for a, we get:
$$a = \frac{Gm_2}{r^2}$$
To find the acceleration, we need to know the mass of the other balloon (m2) and the distance between the centers of the two balloons (r). Without this information, we cannot calculate the exact acceleration.
