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

An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet? - Science and Technology 1

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प्रश्न

An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet?

संख्यात्मक

उत्तर

Given: Time (t) = 5 s, height (s) = 5 m

To find: Gravitational acceleration (g)

Formula: s = ut + `1/2 "gt"^2`

Calculation: From formula,

5 = `0 xx 5 + 1/2 "g"(5)^2`

∴ `5 = 1/2 "g" xx 25`

∴ g = `2/5`

∴ g = 0.4 m/s

The gravitational acceleration of the planet is 0.4 m/s2.

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पाठ 1: Gravitation - Exercises [पृष्ठ १५]

संबंधित प्रश्‍न

What is the value of gravitational constant G (i) on the earth, and (ii) on the moon ?


Fill in the following blank with suitable word :

The value of g on the earth is about………………. of that on the moon.


Explain why the value of g is zero at the centre of the earth.


Why does the velocity of a stone thrown vertically upwards decreases?


The value of G varies from place to place.


As we go above the earth's surface, value of g increases.


Write scientific reason.

The value of acceleration g is greater at the pole than at the equator.


Write scientific reason.

The value of gravitational acceleration (g) decreases as we go above the Earth's surface.


Write scientific reason.

The value of g at the centre of the earth is zero.


The ratio of masses of two planets is 2:3 and the ratio of their radii is 4:7 Find the ratio of their accelerations due to gravity.


The acceleration due to gravity on moon is `(1/6)^"th"` times the acceleration due to gravity on earth. If the ratio of the density of earth 'ρe' to the density of moon 'ρm' is `5/3`, then the radius of moon 'Rm' in terms of the radius of earth 'Re' is ______.


The radius of the orbit of a geostationary satellite is (mean radius of the earth R, angular velocity about an axis in ω and acceleration due to gravity on earth's surface is (g) ______.


Write if the following statement is correct or wrong.

The value of g is the same everywhere on the surface of the earth.


A central particle M is surrounded by a square array of other particles, separated by either distanced or distance d/2 along the perimeter o the square. The magnitude of the gravitational force on the central particle due to the other particles is ______.


The moon has a mass of 1/81 that of the earth and a radius of 1/4 that of the earth. The escape speed from the surface of the earth is 11.2 km/s. The escape speed from the surface of the moon is ______.


The value of gravitational acceleration g at a height h above the earth's surface is `"g"/4`, then ______. (R = radius of earth)


The difference in the acceleration due to gravity at the pole and equator is ______.

(g = acceleration due to gravity, R = radius of the earth; θ = latitude, ω = angular velocity, cos0° = 1, cos90° = 0)


The acceleration due to gravity on the earth of radius Re is ge, and that on moon of radius Rm, is gm. The ratio of the masses of the earth and moon is given by ______.


If the surface is smooth, the acceleration of the block m2 will be ______.


The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R are 10 m/s2 and 6400 km, respectively. The required energy for this work will be ______.


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