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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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)

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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)

थोडक्यात 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

संबंधित प्रश्‍न

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(a) Arrange these values of g according to the increasing distances from the surface of the earth (keeping the value of g nearest to the surface of the earth first)
(b) If the value of distance F be 10000 km from the surface of the earth, state whether this distance is deep . inside the earth or high up in the sky. Give reason for your answer.


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Read the given passage carefully and answer the questions.

We know that the force of gravity due to the earth acts on each and every object. When we were holding the stone in our hand, the stone was experiencing this force, but it was balanced by a force that we were applying on it in the opposite direction. As a result, the stone remained at rest. Once we release the stone from our hands, the only force that acts on it is the gravitational force of the earth and the stone falls down under its influence. Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. Thus the released stone is in a free fall. In free fall, the initial velocity of the object is zero and goes on increasing due to the acceleration due to the gravity of the earth. During free fall, the frictional force due to air opposes the motion of the object and a buoyant force also acts on the object. Thus, true free fall is possible only in a vacuum.
  1. Complete the following statement by choosing the right option.
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  4. Which type of force exerts on the object during free fall?
  5. Why does free fall happen only in a vacuum?

When is free fall possible?


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