Class 9 Science GRAVITATION Mix Example - GRAVITATION

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What is weightlessness?

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(N/A) Weightlessness is a state in which an object experiences no net gravitational force or feels as though it has no weight. This phenomenon occurs when a body is in a state of free fall under the influence of gravity alone,where the supporting force (normal force) becomes zero.

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Mix Example - GRAVITATION

$(a)$ Differentiate between $G$ and $g$.
$(b)$ Is the value of $g$ the same everywhere on Earth? Reason out.
$(c)$ How does the gravitational force between two objects change if the distance between them is tripled?

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Show that the weight of an object on the moon is one-sixth of its weight on the earth. [Given: mass of earth $= 5.98 \times 10^{24} \ kg$,mass of moon $= 7.36 \times 10^{22} \ kg$,radius of earth $= 6.37 \times 10^{6} \ m$,radius of moon $= 1.74 \times 10^{6} \ m$]

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$A$ planet existed whose mass and radius were both half of the Earth. What would be the acceleration due to gravity at the surface of the planet in terms of that on the surface of the Earth?

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$A$ stone is allowed to fall from the top of a tower $100 \, m$ high and at the same time another stone is projected vertically upwards from the ground with a velocity of $25 \, m s^{-1}$. Calculate when and where the two stones will meet? (Take $g = 10 \, m s^{-2}$).

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An apple falls from a tree because of gravitational attraction between the earth and the apple. If $F_1$ is the magnitude of force exerted by the earth on the apple and $F_2$ is the magnitude of force exerted by the apple on the earth,then:

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What is weightlessness?

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$(a)$ Differentiate between $G$ and $g$.$(b)$ Is the value of $g$ the same everywhere on Earth? Reason out.$(c)$ How does the gravitational force between two objects change if the distance between them is tripled?

Show that the weight of an object on the moon is one-sixth of its weight on the earth. [Given: mass of earth $= 5.98 \times 10^{24} \ kg$,mass of moon $= 7.36 \times 10^{22} \ kg$,radius of earth $= 6.37 \times 10^{6} \ m$,radius of moon $= 1.74 \times 10^{6} \ m$]

$A$ planet existed whose mass and radius were both half of the Earth. What would be the acceleration due to gravity at the surface of the planet in terms of that on the surface of the Earth?

$A$ stone is allowed to fall from the top of a tower $100 \, m$ high and at the same time another stone is projected vertically upwards from the ground with a velocity of $25 \, m s^{-1}$. Calculate when and where the two stones will meet? (Take $g = 10 \, m s^{-2}$).

An apple falls from a tree because of gravitational attraction between the earth and the apple. If $F_1$ is the magnitude of force exerted by the earth on the apple and $F_2$ is the magnitude of force exerted by the apple on the earth,then:

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$(a)$ Differentiate between $G$ and $g$.
$(b)$ Is the value of $g$ the same everywhere on Earth? Reason out.
$(c)$ How does the gravitational force between two objects change if the distance between them is tripled?