(D) The acceleration due to gravity at an altitude $h$ above the Earth's surface is given by the formula $g_h = \frac{GM}{(R+h)^2}$.Given that the alt

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nearly $g$ and directed towards the Earth

(D) The acceleration due to gravity at an altitude $h$ above the Earth's surface is given by the formula $g_h = \frac{GM}{(R+h)^2}$.Given that the altitude $h$ is much smaller than the radius of the Earth $(h Since the astronaut is inside the orbiting space station,they are in a state of free fall. The gravitational force acting on the astronaut provides the necessary centripetal acceleration to keep them in orbit.Therefore,the acceleration of the astronaut as measured from the Earth is nearly $g$ and is directed towards the center of the Earth.

Class 11 Physics Gravitation Motion of Satellites in Circular Orbits and Planets in Elliptical Orbits

Medium

The International Space Station is maintained in a nearly circular orbit with a mean altitude of $330 \, km$ and a maximum of $410 \, km$. An astronaut is floating in the space station's cabin. The acceleration of the astronaut as measured from the Earth is:

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A
zero
B
nearly zero and directed towards the Earth
C
nearly $g$ and directed along the line of travel of the station
D
nearly $g$ and directed towards the Earth

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Gravitation

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Motion of Satellites in Circular Orbits and Planets in Elliptical Orbits

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$STATEMENT-1$: An astronaut in an orbiting space station above the Earth experiences weightlessness.
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If the gravitational force between two objects were proportional to $\frac{1}{R}$ (and not as $\frac{1}{R^2}$) where $R$ is the separation between them,then a particle in a circular orbit under such a force would have its orbital speed $v$ proportional to

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The International Space Station is maintained in a nearly circular orbit with a mean altitude of $330 \, km$ and a maximum of $410 \, km$. An astronaut is floating in the space station's cabin. The acceleration of the astronaut as measured from the Earth is:

Similar Questions

What is a geostationary satellite? What is the orbital period of a geostationary satellite?

$A$ ball is dropped from a spacecraft revolving around the earth at a height of $120 \, km$. What will happen to the ball?

$STATEMENT-1$: An astronaut in an orbiting space station above the Earth experiences weightlessness.$STATEMENT-2$: An object moving around the Earth under the influence of Earth's gravitational force is in a state of 'free-fall'.

If the gravitational force between two objects were proportional to $\frac{1}{R}$ (and not as $\frac{1}{R^2}$) where $R$ is the separation between them,then a particle in a circular orbit under such a force would have its orbital speed $v$ proportional to

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$STATEMENT-1$: An astronaut in an orbiting space station above the Earth experiences weightlessness.
$STATEMENT-2$: An object moving around the Earth under the influence of Earth's gravitational force is in a state of 'free-fall'.