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

State Newton's universal law of gravitation. Express it with the mathematical form of force of gravitation? - Science and Technology 1

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प्रश्न

State Newton's universal law of gravitation. Express it with the mathematical form of force of gravitation?

लघु उत्तर
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उत्तर

  1. Statement: Gravitational force between two bodies in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
  2. The mathematical equation for the law is given as, F = G`("m"_1"m"_2)/"r"^2` where G is universal gravitational constant, m1 and m2 are masses and r is the distance between two masses.
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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Gravitation - Answer the Following

संबंधित प्रश्‍न

Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth.


Choose the correct alternative:

Acceleration due to gravity increases/decreases with increasing depth. (assume the earth to be a sphere of uniform density).


Three equal masses m are placed at the three corners of an equilateral triangle of side a. Find the force exerted by this system on another particle of mass m placed at (a) the mid-point of a side, (b) at the centre of the triangle.


Two small bodies of masses 10 kg and 20 kg are kept a distance 1.0 m apart and released. Assuming that only mutual gravitational forces are acting, find the speeds of the particles when the separation decreases to 0.5 m.


Two concentric spherical shells have masses M1, M2 and radii R1, R2 (R1 < R2). What is the force exerted by this system on a particle of mass m1 if it is placed at a distance (R1+ R2)/2 from the centre?


A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in the following figure. The point A is the centre of the plane section of the first part and B is the centre of the plane section of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.


The gravitational field in a region is given by \[E = \left( 2 \overrightarrow{i} + 3 \overrightarrow{j} \right) N {kg}^{- 1}\] . Show that no work is done by the gravitational field when a particle is moved on the line 3y + 2x = 5.

[Hint : If a line y = mx + c makes angle θ with the X-axis, m = tan θ.]


The law of gravitation gives the gravitational force between :


Distinguish between gravity and gravitation


How will the force of gravitation between two objects change if the distance between them is:
Halved


How will the force of gravitation between two objects change if the distance between them is:
Almost zero


Where will you weigh more: at the centre of the earth or at the surface of the earth?


What does a force do in the following case?
You catch a kicked ball.


Two equal and opposite forces acting at the same point on a stationary body. Will the body move? Give reason to explain your answer.


Show that gravity decreases at higher altitudes.


What do you mean by a gravitational constant?


The gravitational force between two bodies is directly proportional to the product of the masses of those bodies and is _______ of the distance between them.


Molecules in air in the atmosphere are attracted by gravitational force of the earth. Explain why all of them do not fall into the earth just like an apple falling from a tree.


Four identical particles of equal masses 1 kg made to move along the circumference of a circle of radius 1 m under the action of their own mutual gravitational attraction. The speed of each particle will be ______.


Ocean tides on Earth are mainly caused by:


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