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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 उत्तरीय

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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अध्याय 1: Gravitation - Answer the Following

संबंधित प्रश्न

Write the answer of the question with reference to laws of gravitation.

State the universal law of gravitation.


How does the force of gravitation between two objects change when the distance between them is reduced to half?


State two applications of universal law of gravitation.


A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves at a speed of 2 m s −1 as it reaches A. The work done by the person on the mass is −3 J. The potential at A is


Two spherical balls of mass 10 kg each are placed 10 cm apart. Find the gravitational force of attraction between them.


Three uniform spheres each having a mass M and radius a are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two.


A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the following figure . A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if (a) r < x < 2r, (b) 2r < x < 2R and (c) x > 2R.


The law of gravitation gives the gravitational force between :


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


A ball is thrown up with a speed of 4.9 ms-1.
Calculate the time it takes to reach this height.


A ball is thrown up with a speed of 4.9 ms-1.
Prove that the time of ascent is equal to the time of descent.


What is meant by the equation :
`g= Gxxm/r^2`
where the symbols have their usual meanings.


You can change the direction in which an object is moving by___________.


Does the force of the earth's gravitation affect the motion of the moon? Explain your answer with reasons.


State Newton's law of gravitation. What is the difference between:
g and G?


Show that gravity decreases at higher altitudes.


Answer the following question.

State Newton’s law of gravitation and express it in vector form.


For the weight of body of mass 5 kg to be zero on equator of the earth, angular velocity of the earth must be (The radius of earth = 6400 km, acceleration due to gravity = 10 m/s2).


Particles of masses 2M, m and M are respectively at points A, B and C with AB = ½ (BC). m is much-much smaller than M and at time t = 0, they are all at rest (Figure). At subsequent times before any collision takes place ______.


The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F vs r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.


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