Question

The Earth has a mass of 6.0 x 1024 kg, and the Moon has a mass of 7.3 x 1023

Answer 1

The amount of gravitational force the two bodies exert on one another is $2.0 \times 10^{27} \;Newton$.

Given the following data:

• Mass of Moon = $7.3 \times 10^{23}\; kg$

• Mass of Earth = $6.0 \times 10^{24}\; kg$

• Radius = $3.84 \times 10^5\; kilometers$

Scientific data:

• Gravitational constant = $6.67\times 10^{-11}$

To determine the amount of gravitational force the two bodies exert on one another, we would apply Newton's Law of Universal Gravitation:

Mathematically, Newton's Law of Universal Gravitation is given by the formula:

$F = G\frac{M_1M_2}{r^2}$

Where:

• F is the gravitational force.

• G is the gravitational constant.

• M is the mass of object.

• r is the distance between centers of the masses.

Substituting the given parameters into the formula, we have;

$F = 6.67\times 10^{-11} \times \frac{7.3 \times 10^{23} \; \times \;6.0 \times 10^{24}}{(3.84 \times 10^5)^2}\\\\F = 6.67\times 10^{-11} \times \frac{4.38 \times 10^{48} }{1.48 \times 10^{11} }\\\\F=\frac{2.92 \times 10^{38} }{1.48 \times 10^{11}} \\\\F= 2.0 \times 10^{27} \;Newton$

Read more: brainly.com/question/11359658