# The center of the moon is approximately 384000km from the center of the earth and orbits from the earth in 27,3 days . If a moon has a mass of 7,35×10^22 kg. what is the magnitude of its momentum?

Aug 14, 2018

Approximately $1.2 \cdot {10}^{25} \setminus \text{kg m/s}$.

#### Explanation:

Well we can first calculate the speed of the moon, which will be:

$s = \left(384000 \setminus \text{km")/(27.3 \ "days}\right)$

$= \left(384000 \setminus \text{km")/(2358720 \ "s}\right)$

$= \left(384000000 \setminus \text{m")/(2358720 \ "s}\right)$

$\approx 162.8 \setminus \text{m/s}$

Then, momentum is given by the equation:

$p = m v$

where:

• $m$ is the mass of the object in kilograms

• $v$ is the velocity of the object in meters per second

So, we get:

$p = 7.35 \cdot {10}^{22} \setminus \text{kg"*162.8 \ "m/s}$

$\approx 1.2 \cdot {10}^{25} \setminus \text{kg m/s}$