Question

The gravitational force between a satellite and Earth’s moon is 324 N. The mass of the moon is 7. 3 × 1022 kg. If the distance from the moon to the satellite is 2. 6 × 106 m, what is the mass of the satellite? 1. 7 × 10–4 kg 2. 2 × 10–3 kg 230 kg 450 kg.

Answer 1

The gravitational force is s type of force that has the ability to attract any two objects with mass. The mass of the satellite will be 450 kg.

What is the gravitational force?

The gravitational force is s type of force that has the ability to attract any two objects with mass. Gravitational force tries to pull two masses towards each other.

The given data in the problem is;

F is the gravitational force = 324 N,

m₁ is the mass of the moon = 7.3 * 10²²kg

r is the distance between the moon and satellite  = 2.6 * 10 ⁶m.

m₂ is the mass of satelite =?

G is the gravitational constant = 6.67×10⁻¹¹

The gravitational force is given by

$\rm F= \frac{Gm_1m_2}{r^2} \\\\ \rm m_2 = \frac{Fr^2}{Gm_1} \\\\ \rm m_2 = \frac{324 \times (2.6\times 10^6)^2}{6.67\times 10^{-11} \times 7.3 \times 10^22 } \\\\ \rm m_2= 450 kg$

Hence the mass of the satellite will be 450 kg.

To learn more about the gravitational force refer to the link;

brainly.com/question/24783651