Question

El peso(w) de una persona en la Tierra es 550N. Determinar la masa (m) de la persona y el peso (w) de la misma en la Luna

Answer 1

The question is: The weight (w) of a person on Earth is 550N. Determine the mass (m) of the person and the weight (w) of the person on the Moon.

Answer: The mass (m) of the person is 550 N and the weight (w) of the person on the Moon is 891 kg.

Step-by-step explanation:

Given: Mass = 550 N

When a person moves towards moon then its mass will remain the same but there will occur change in its weight because the acceleration due to gravity on moon is different than that on Earth.

Therefore, formula used to calculate the weight of person on moon is as follows.

`W = m * g_(m)`

where,

m = mass

`g_(m)` = acceleration due to gravity on moon = 1.62
`m/s^(2)`

Substitute the values into above formula as follows.

`W = m * g_(m)\\= 550 N * 1.62 m/s^(2)\\ (1 N = 1 kg * m/s^(2))\\= 891 kg`

Thus, we can conclude that the mass (m) of the person is 550 N and the weight (w) of the person on the Moon is 891 kg.