Question Details

Inside a satellite orbiting very close to the earth’s surface, water does not fall out of a glass when it is inverted. Which of the following is the best explanation for this

Options

A

The earth does not exert any force on the water

B

The earth’s force of a attraction on the water is exactly balanced by the force created by the satellites motion

C

The water and the glass have the same acceleration, equal to g, towards the centre of the earth, and hence there is no relative motion between them

D

The gravitational attraction between the glass and the water balances the earth’s attraction on the wate

Correct Answer :

The gravitational attraction between the glass and the water balances the earth’s attraction on the wate

Solution :

The correct answer is: The gravitational attraction between the glass and the water balances the earth’s attraction on the wate

To understand this explanation, let us analyze the forces acting on the water inside the glass inside the satellite:

1. Earth's Gravitational Attraction: The Earth exerts a downward gravitational force pulling the water towards its center. This force is given by:
FEarth=G·M·mr2
where G is the gravitational constant, M is the mass of the Earth, m is the mass of the water, and r is the orbital radius.

2. Attraction between the Glass and Water: In this proposed scenario, the local gravitational attraction between the mass of the glass and the mass of the water acts to hold the water within the glass.

3. Force Balance: For the water to remain stationary relative to the glass, the gravitational pull between the glass and the water must equal the gravitational pull of the Earth:
Fglass-water=FEarth
Since these two forces balance each other out, there is no net force pulling the water out of the inverted glass, preventing it from falling.

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