Question

An object projected vertically upwards with a particular velocity reaches a
certain height from the surface of the Earth. If the same object is projected
upwards with the same velocity from the surface of the moon, the object
reaches a greater height. Give reason.

Answer 1

Answer:

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Answer 2

To Give Reason:

An object projected vertically upwards with a particular velocity reaches a certain height from the surface of the Earth. If the same object is projected upwards with the same velocity from the surface of the moon, the object reaches a greater height.

Reasons:

• We know that Gravitational Acceleration on earth is much higher than that of moon. g_(earth) is almost 6 times that of g_(moon).

• Thats why the height reached by the object when projected from moon is higher than that when projected from Earth.

Now , let's see the mathematical calculations:

On earth, let the height be h1:

$\therefore \: h1 = ut - \dfrac{1}{2}g_{(earth)} {t}^{2} \: \: \: \: \: ......(1)$

On moon , let the height be h2:

$\therefore \: h2 = ut - \dfrac{1}{2}g_{(moon)} {t}^{2} \: \: \: \: \: ......(2)$

Since g_(moon) < g_(earth) , we can say that h1 < h2.

[Hence proved]

• All in all , just remember that the gravitational acceleration on moon is less than that of Earth , hence the height achieved on moon is greater than the height achieved on earth.

Hope It Helps.