Six particles each of mass $m$ are placed at the corners of a regular hexagon of edge length $a$ . If a point mass $m_{0}$ is placed at the centre of the hexagon, then the net gravitational force on the point mass $m_{0}$ is

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Answer 1

The force exerted by each particle placed on the vertices, over the particle at the centre are equal in magnitude and cancel each other vectorially. Thus the resultant force on it is equal to zero.

Answer 2

The force exerted by each particle placed on the vertices, over the particle at the centre are equal in magnitude and cancel each other vectorially. Thus the resultant force on it is equal to zero.

Six particles each of mass $m$ are placed at the corners of a regular hexagon of edge length $a$ . If a point mass $m_{0}$ is placed at the centre of the hexagon, then the net gravitational force on the point mass $m_{0}$ is

$\frac{6 G m ^{2}}{a ^{2}}$

$\frac{6 G m m _{0}}{a ^{2}}$

zero

none of these

The force exerted by each particle placed on the vertices, over the particle at the centre are equal in magnitude and cancel each other vectorially. Thus the resultant force on it is equal to zero.

Two particles each of mass $m$ are placed at A and C are such $A B = B C = L$ . The gravitational force on the third particle placed at D at a distance L on the perpendicular bisector of the line AC is :

Particles of masses $m_{1}$ and $m_{2}$ are at a fixed distance apart. If the gravitational field strength at $m_{1}$ and $m_{2}$ are $l_{1}$ and $l_{2}$ respectively. Then:

A straight rod of length $l$ extends from $x = a$ to $x = l + a$ . If the mass per unit length is $(a + b x^{2})$ , the gravitational force it exerts on a point mass m placed at $x = 0$ is given by

Four particles of masses $m, 2 m, 3 m$ and $4 m$ are placed at the corners of a square of side length $a$ . The gravitational force on a particle of mass $m$ placed at the centre of the square is

Revise with Concepts

Centre of Mass of a Two Particle System

Centre of Mass of a System of N Particles

Six particles each of mass m are placed at the corners of a regular hexagon of edge length a. If a point mass m0​ is placed at the centre of the hexagon, then the net gravitational force on the point mass m0​ is

a26Gm2​

a26Gmm0​​

zero

none of these

The force exerted by each particle placed on the vertices, over the particle at the centre are equal in magnitude and cancel each other vectorially. Thus the resultant force on it is equal to zero.

Two particles each of mass m are placed at A and C are such AB=BC=L. The gravitational force on the third particle placed at D at a distance L on the perpendicular bisector of the line AC is :

Particles of masses m1​ and m2​ are at a fixed distance apart. If the gravitational field strength at m1​ and m2​ are l1​ and l2​ respectively. Then:

A straight rod of length l extends from x=a to x=l+a. If the mass per unit length is (a+bx2), the gravitational force it exerts on a point mass m placed at x=0 is given by

Four particles of masses m,2m,3m and 4m are placed at the corners of a square of side length a. The gravitational force on a particle of mass m placed at the centre of the square is

Revise with Concepts

Centre of Mass of a Two Particle System

Centre of Mass of a System of N Particles

Six particles each of mass $m$ are placed at the corners of a regular hexagon of edge length $a$ . If a point mass $m_{0}$ is placed at the centre of the hexagon, then the net gravitational force on the point mass $m_{0}$ is

$\frac{6 G m ^{2}}{a ^{2}}$

$\frac{6 G m m _{0}}{a ^{2}}$

Two particles each of mass $m$ are placed at A and C are such $A B = B C = L$ . The gravitational force on the third particle placed at D at a distance L on the perpendicular bisector of the line AC is :

Particles of masses $m_{1}$ and $m_{2}$ are at a fixed distance apart. If the gravitational field strength at $m_{1}$ and $m_{2}$ are $l_{1}$ and $l_{2}$ respectively. Then:

A straight rod of length $l$ extends from $x = a$ to $x = l + a$ . If the mass per unit length is $(a + b x^{2})$ , the gravitational force it exerts on a point mass m placed at $x = 0$ is given by

Four particles of masses $m, 2 m, 3 m$ and $4 m$ are placed at the corners of a square of side length $a$ . The gravitational force on a particle of mass $m$ placed at the centre of the square is