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A metal ball of mass 5 kg falls from a height of 490 m. How much time it will take to reach the ground? (g = 9.8 m/s2) - Science and Technology 1

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प्रश्न

A metal ball of mass 5 kg falls from a height of 490 m. How much time it will take to reach the ground? (g = 9.8 m/s2)

संक्षेप में उत्तर
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उत्तर

Given, Mass (M) = 5 kg.

Distance travelled by the ball (s) = 490 m

Initial velocity of the ball (u) = 0

Gravitational acceleration (g) = 9.8 m/s2

Newton's second equation of motion gives

s = `"ut" + 1/2 "gt"^2`

∴ 490 = `0 xx "t" + 1/2 xx 9.8 xx "t"^2`  .....[Initial velocity (u) = 0]

⇒ 490 = 4.9 t2

t2 = `490/4.9`

t2 = 100

t = 10 sec. 

∴ The ball takes 10 seconds to reach the ground.

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2018-2019 (March) Set 1

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