The gravitational force between two objects on the earth is 2N What will be the gravitational force between these two objects on the surface of the moon

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

If the distance between two masses is doubled then the gravitational force between them will be

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Two masses of $‘ m ’$ each are suspended side by side at distance $‘ a ’$ , by two equal threads of length $‘ b ’$ If ’ is the angle that threads make with vertical due to attraction between masses, then $α$ is :

Question Image

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Unit of universal gravitational constant is

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

A straight rod of length

L

extends from

x = a

to

x = L + a .

The gravitational force it exerts on a point mass 'm' at

x = 0,

if the mass per unit length of the rod is

A + B x^{2},

is given by:

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

If an angel visits an asteroid called $B 612$ which has a radius of $20 m$ and mass of $104 kg$ , what will be the acceleration due to gravity in $B 612$ ?

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

At what height from the surface of earth the gravitation potential and the value of g are

- 5.4 \times 10^{7} J k g^{- 2}

and

6.0 m s^{- 2}

respectively? Take the radius of earth as

6400 km

:

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

The force between a hollow sphere of mass $M$ and a point mass $‘ m ’$ at P inside it (Shown in figure): ( $P C = X$ , Radius $= r$ )

Question Image

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Two satellites

S_{1}

and

S_{2}

are revolving around a planet in the opposite sense in coplanar circular concentric orbits. At time

t = 0,

the satellites are farthest apart. The periods of revolution of

S_{1}

and

S_{2}

are

3 h

and

24 h

respectively. The radius of the orbit of

S_{1}

is

3 \times 10^{4} km .

Then the orbital speed of

S_{2}

as observed from

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

What is the relation between ' $g$ ' and ' $G$ '?

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

In the following, the phenomena which were successfully explained by the law of gravitation are :

$a$ ) Motion of moon around the earth

$b$ ) Formation of tides

$c$ ) Motion of an aeroplane

$d$ ) Force that binds us to the earth

$e$ ) Rotation of blades in a ceiling fan

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

If the change in the value of

g

at a height

h

above the surface of the earth is the same as at a depth

x

below it, then (both

x

and

h

being much smaller than the radius of the earth)

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

What is the reason for earth NOT moving towards the moon, even though moon attracts the earth?

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

A very long (length $L$ ) cylindrical galaxy is made of uniformly distributed mass and has radius $R (R < < L)$ . A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of the star is $T$ and its distance from the galaxy's axis is $r$ , then

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Knowing that mass of the moon is

\frac{M}{81}

, find the distance of the point from the moon, where gravitational field due to earth and the moon cancel each other. Given that distance between earth and moon

= 60 R

, Radius of earth

= R

, Mass of Earth

= M

.

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Four particles, each of mass

M

and equidistant from each other, move along a circle of radius

R

under the action of their mutual gravitational attraction. The speed of each particle is

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Kepler's third law states that the square of the period of revolution

(T)

of a planet around the sun is proportional to the third power of the average distance

r

between sun and planet i.e.,

T^{2} = K r^{3}

, here

K

is constant. If the masses of sun and planet are

M

and

m

respectively then as per Newton's law of gravitation force of attraction between them is

F = \frac{G M m}{r^{2}}

, here

G

is gravitational constant. The relation between

G

and

K

is described as:

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

A star mass $M$ (equal to the solar mass) with a planet (much smaller than the star) revolves around the star in a circular orbit. The velocity of the star with respect to the centre of mass of star-planet system is shown below:

Question Image

The radius of the planet's orbit is closest to ( $1 AU = Distance Earth and Sun$ )

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

On halved the distance between two masses, the gravitational force between them will be:

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

A star of mass

M

and radius

R

is made up of gases. The average gravitational pressure compressing the star due to gravitational pull of the gases making up the star depends on

R

as

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.>Types of Interactions - Gravitational forces are always attractive. There is a gravitational force between any two masses, but itis very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Two spheres of mass

m

and

M

are situated in air and the gravitational force between them is

f .

The space around the masses is now filled with a liquid of specific gravity

4 .

The gravitational force will now be

The gravitational force between two objects on the earth is $2 N$ . What will be the gravitational force between these two objects on the surface of the moon?

Important Questions on Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.

Learn and Prepare for any exam you want !

The gravitational force between two objects on the earth is 2 N. What will be the gravitational force between these two objects on the surface of the moon?

Important Questions on Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.

Learn and Prepare for any exam you want !

The gravitational force between two objects on the earth is $2 N$ . What will be the gravitational force between these two objects on the surface of the moon?