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Which type of mass movement involves the detachment and free fall of rock from a steep slope?

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Important Questions on Gravitation

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Starting from the center of the earth having radius,

R

, the variation of

g

(acceleration due to gravity) is shown by

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

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

HARD

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after about

MEDIUM

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Three particles of masses $1 k g, \frac{3}{2} k g$ and $2 k g$ are located at the vertices of an equilateral triangle (see figure below). The coordinates of centre of mass of this system is located at:

Question Image

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Mass is non-uniformly distributed on the circumference of a ring of radius

a

and center is at the origin. Let

b

the distance of center of mass of the ring from origin. Then,

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

In a

HCl

molecule, the separation between the nuclei of the two atoms is about

1.27 Å (1 Å = 10^{- 10} m)

. Given that a chlorine atom is about

35.5

times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus, the position of centre of mass of the molecule is

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

A body

A

of mass

M

while falling vertically downwards under gravity breaks into two parts; a body

B

of mass

\frac{1}{3} M

and body

C

of mass

\frac{2}{3} M

. The center of mass of bodies

B

and

C

taken together shifts compared to that of body

A

towards

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

The center of mass of a system of two particles of masses

m_{1}

and

m_{2}

is at a distance

d_{1}

from

m_{1}

and at a distance

d_{2}

from mass

m_{2}

, such that:

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Consider a two particle system with particles having masses

m_{1}

and

m_{2}

. If the first particle is pushed towards the centre of mass through a distance

d

, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Two particles

A

and

B

, initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of

A

v

and the speed of

B

2 v

, the speed of the center of mass of the system is:

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Can centre of mass of a body coincide with the geometrical centre of the body?

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Centre of mass of a uniform ring is at the _____ of the ring.

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

An isolated particle of mass

m

is moving in a horizontal plane (

x y

), along the

x

-axis, at a certain height above the ground. It suddenly explodes into two fragments of masses

\frac{m}{4}

and

\frac{3 m}{4}

. An instant later, the smaller fragment is at

y = + 15 cm

. The larger fragment at the instant is at:

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

The center of mass of a system of particles is at

(x_{0}, y_{0}, z_{0})

where,

x_{0} \leq 0, y_{0} \leq 0

. It is known that no particle lies in the region,

y < 0

and

x < 0

. Then, the position of center of mass can be,

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Three identical spheres, each of mass $1$ $kg$ are kept as shown in figure below, touching each other, with their centers on a straight line. If their centres are marked $P$ , $Q$ , $R$ respectively, the distance of centre of mass of the system from $P$ is Question Image

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Assertion: The centre of mass of an electron and proton, when they were released from rest, moves faster towards proton.

Reason: Proton is heavier than electron.

MEDIUM

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Under what conditions the centre of mass of two bodies lies midway between the two bodies?

MEDIUM

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

What is the centre of mass? Obtain an expression for the centre of mass of a system of particles?

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

A projectile is launched from the origin with speed

v

at an angle

θ

from the horizon. At the highest point in the trajectory, the projectile breaks into two pieces,

A

and

B

of masses

m

and

2 m

respectively. Immediately after the breakup, piece

A

is at rest relative to the ground. Neglect air resistance. Which of the following sentences most accurately describes what happens next?
Question Image

EASY

Physics>Mechanics>Gravitation>Inertial and Gravitational Mass

Consider a two particle system with particles having masses

m_{1}

and

m_{2}

. If the first particle is pushed towards the centre of mass through a distance

d

, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

Which type of mass movement involves the detachment and free fall of rock from a steep slope?

Important Questions on Gravitation

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