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At a place where an object is thrown vertically downward with a speed of while a different object is thrown vertically upward with a speed of Which object undergoes a greater change in speed in a time of 2 s?

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Answer:

Both objects will undergo the same change in velocity

Explanation:

m = Mass of the Earth = Ā 5.972 Ɨ 10Ā²ā“ kg

G = Gravitational constant = 6.67 Ɨ 10ā»Ā¹Ā¹ mĀ³/kgsĀ²

r = Radius of Earth = 6371000 m

m = Mass of object

Any object which is falling has only the acceleration due to gravity.

[tex]ma=\dfrac{GMm}{r^2}\\\Rightarrow a=\dfrac{GM}{r^2}\\\Rightarrow a=\dfrac{6.67\times 10^{-11}\times 5.972\times 10^{24}}{(6.371\times 10^6)^2}\\\Rightarrow a=9.81364\ m/s^2[/tex]

The acceleration due to gravity on Earth is 9.81364 m/sĀ²

So, the speeds of the objects will change at an equal rate of 9.81364 m/sĀ² but the change will be negative when an object is thrown up.

Hence, both objects will undergo the same change in velocity.

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