You and your friends are having a discussion about weight. He/she claims that he/she weighs less on the 100th floor of a building than he/she does on the ground floor. Is he/she correct? Support your answer with evidence.

Respuesta :

Answer:

Explanation:

Yes she is correct.

Using the formula:

Gravitational force, Fg = GM1M2/R^2

Where,

G = gravitational constant

M1 = mass of the Earth

M2 = mass of human

R = distance between the 100th floor and the center of the earth

Weight, which really means gravitational force, is proportional to the product of the masses of two objects acting on each other, in this case the giant earth and the tiny you, so the difference will be almost immeasurable.

The weight of the friend will be lesser on the 100th floor but the change is negligible because gravitational force is inversely proportional to the distance between centers of mass bodies.

Universal Law of gravitation:

[tex]F=G{\dfrac{m_1m_2}{r^2}}[/tex]

Where,

[tex]F[/tex]  = force

[tex]G[/tex] = gravitational constant

[tex]m_1[/tex] = mass of object 1

[tex]m_2[/tex]    =   mass of object 2

[tex]r[/tex] = distance between centers of the masses

  • From the equation, the gravitational force is inversely proportional to the distance between centers of mass bodies.
  • Since the weight of an object or body is the product of its mass and gravitation force.

Therefore, the weight of the friend will be lesser on the 100th floor but the change is negligible.

Learn more about the Universal Law of gravitation:

https://brainly.com/question/858421

Yes she is correct.

Using the formula:

Gravitational force, Fg = GM1M2/R^2

Where,

G = gravitational constant

M1 = mass of the Earth

M2 = mass of human

R = distance between the 100th floor and the center of the earth

Weight, which really means gravitational force, is proportional to the product of the masses of two objects acting on each other, in this case the giant earth and the tiny you, so the difference will be almost immeasurable.