Chapter 1 Gravitation
Question and answer
Q.6 Answer the following questions in onesentence each :
(1) State the SI and CGS units of G.
Ans. The SI unit of G is N-m²/kg2 and CGS unit is
the dyne-cm²/g².
(2) State
gravitational force.
any one
characteristic of
Ans. Gravitational force between two particles
does not depend on the nature of the medium
between them.
(3) Name the force that keeps the satellite in
the orbit around the earth.
Ans. The gravitational force due to the earth
keeps the satellite in the orbit around the earth.
(4)
Name the force due to which the earth
revolves around the Sun.
Ans. The earth revolves around the Sun due to
the gravitational force of attraction exerted on it by
the Sun.
(5) What is the acceleration due to gravity at a
height h (= radius of the earth) from the surface
of the earth?
(g = 9.8 m/s²)
Ans. The acceleration due to gravity at a height h
(= radius of the earth) from the surface of the earth
is 2.45 m/s².
[Explanation g’
9.8 ji
m/s² = 2.45 m/s² for h=R]
4
GM g
GM
(R+h)²¯¯ 4R² 4
(6) What is the relation between the SI unit of
weight and the CGS unit of weight?
Ans. The relation between the SI unit of weight
(the newton) and the CGS unit of weight (the dyne)
is 1 newton = 105 dynes.
(7) Write the formula for the centripetal force
acting on a body performing circular motion.
mv²
Ans. F=
r
(8) Write the formula for the escape velocity of
a body from the earth’s surface.
Ans. Vesc=
2GM
R
or Vesc
2gR.
(9) What is the value of the acceleration due to
gravity at the centre of the earth?
Ans. Zero.
(10) What are the factors on which the
maximum height attained by a body thrown
upwards depends?
Ans. The initial velocity of the body, the
acceleration due to gravity at that place, the buoyant
force and frictional force due to air.
8 Answer the following questions :Gravitation
*(1) What is centripetal force?
Define centripetal force.
Ans. In uniform circular motion of a body, the
force acting on the body is directed towards the
centre of the circle. This force is called centripetal
force.
OR
(2) Give one example of centripetal force.
Ans. The moon revolves around the earth due to
the gravitational force exerted on it by the earth.
This force is directed towards the centre of the earth.
and is thus a centripetal force.
(3) Name the force responsible for the motion
of a planet around the Sun.
Ans. A planet revolves around the Sun due to the
gravitational force exerted on it by the Sun.
(5) Explain the term gravitational force. What
is gravitation?
Ans. There exists a force of attraction
between any two particles of matter in the universe
such that the force depends only on the masses of the
particles and the separation between them. It is
called the gravitational force and the mutual attrac-
tion is called gravitation.
(8) (i) Why is the constant of gravitation
called a universal constant?
(ii) Newton’s law of gravitation is called the
universal law of gravitation. Why?
Ans. (i) The value of the constant of gravitation,
does not change with the nature, mass or the size of
the material particles. It does not vary with the
distance between the two particles. It is also
independent of the nature of the medium between
the two particles. Hence, it is called a universal
constant.
(ii) As the law of gravitation given by Newton is
applicable throughout the universe and to all
particles, it is called universal law.
(9) If the distance between two bodies is
increased by a factor of 5, (i) by what factor will
the gravitational force change if the masses are
kept constant? (ii) by what factor would the
mass of one of them has to be altered, keeping
the other mass the same, to maintain the same
gravitational force between the two bodies?
Ans. If the distance between two bodies is
increased by a factor of 5,
(i) the gravitational force between the bodies will
decrease by a factor of 25 if the masses of the bodies
are kept constant.
(ii) the mass of one of them has to be
increased by a factor of 25, keeping the mass of the
other body the same, to maintain the same
gravitational force between the two bodies.
(11) State the importance of Newton’s
universal law of gravitation.
Ans. The importance of Newton’s universal law
of gravitation :
This law explains successfully, i.e., with great
accuracy,
(1) the force that binds the objects on the earth to
the earth
(2) the motion of the moon and artificial satellites
around the earth
(3) the motion of the planets, asteroids, comets,
etc., around the Sun
(4) the tides of the sea due to the moon and the
Sun.
(13) Explain the term the earth’s gravitational
force. OR Write a short note on the earth’s
gravitational force.
Ans. The earth attracts every object towards it
because of the gravitational force. As the earth’s
centre of mass is at its centre, the gravitational force
exerted by the earth on any object is always directed
towards the earth’s centre. Hence, an object released
from a point above the earth’s surface falls vetically
downward towards the earth. If an object is thrown
vertically upward, its velocity goes on decreasing
due to the earth’s gravitational force on the object.
At one stage, the velocity of the body becomes zero
and later the body falls back to the earth.
(14) Take two balls of different masses, go to
the top of a building, drop them simultaneously
and observe what happens to the balls.
Ans. The balls reach the ground almost at the
same time.
(15) Take two similar pages from your
notebook. Crumple one paper and allow this and
the other paper to fall on the ground
simultaneously. What do you observe?
Ans. The crumpled paper reaches the ground
before the other one.
(16) Take a feather and a paper. Allow them to
fall to the ground simultaneously. Which will
reach the ground earlier? Why?
Ans. There is no unique answer. It depends on the
feather and paper. Upthrust due to air and force dueto friction with air play very important roles here.
The acceleration of a body depends on the resultant
of the earth’s gravitational force on the body and the
upthrust and the force of friction due to air.
Use your brain power! (Textbook page 7)
(1) According to Newton’s law of gravitation,
every object attracts every other object.
Thus, if the earth attracts an apple towards
itself, the apple also attracts the earth
towards itself with the same force. Why then
does the apple fall towards the earth, but the
earth does not move towards the apple?
Ans. The earth and the apple move towards
each other, but the magnitude of the displacement
of the earth is negligible relative to that of the
apple. Also the observer is located on the earth.
[Note: The mass of the earth is far greater than that of an
apple. Hence, the magnitude of the acceleration of the earth is
negligible relative to that of the apple.]
(2) The gravitational force due to the earth
also acts on the moon because of which it
revolves around the earth. Similar situation
exists for the artificial satellites orbiting the
earth. The moon and the artificial satellites
orbit the earth. The earth attracts them
towards itself but unlike the falling apple,
they do not fall on the earth, why?
Ans. This is because of the velocity of the moon
and the satellites along their orbits. If this velocity
was not there, they would have fallen on the earth.
*(17) What is the acceleration due to gravity?
OR
Define acceleration due to gravity.
Ans. The acceleration produced in a body due to
the gravitational force of the earth is called the
acceleration due to gravity.
(1) What would happen if there were no
gravity?
Ans. (1) There would be no gravitational
attraction between any two particles and hence no
formation of the solar system, galaxy, etc.
(2) What would happen if the value of G was
twice as large?
Ans. The gravitational force between any two
particles would become double, also the value of g
would become double.
(21) Why does an object released from the
hand, fall on the earth?
Ans. When an object is held in the hand, the
gravitational force acting on the object due to the
earth is balanced by the person holding the object.
When the object is released from the hand, it falls on
the earth due to the earth’s gravitational force.
(22) Does the value of g depend on the mass of
the falling body? Why?
Ans. The value of g does not depend on the mass
of the falling body.
The reason is the gravitational force on a body due
to the earth is directly proportional to the mass of
the body and for a given force, the acceleration of a
body is inversely proportional to the mass of the
body.
(23) Define mass. State its SI and CGS units.
Ans. The mass of a body is the amount of matter
present in it. Its SI unit is the kilogram (kg) and
CGS unit is the gram (g).
[Note: Mass has only magnitude, not direction. Thus, it is a
scalar quantity.]
(24) Define weight. State its SI and CGS units.
Ans. The weight of a body is defined as the force
with which the earth attracts it. Its SI unit is the
newton and CCS unit is the dyne.
(25) As per the request of one of his
from the equator, Rahul buys 100 grams of silver
at the north pole. He hands it over to his friend
at the equator. Will the friend agree with the
weight of the silver bought? If not, why?
Ans. The weight of a body is given by w = mg,
where m is the mass of the body and g is the
acceleration due to gravity. g varies from place to
place. The value of g at the equator is less than that
at the north pole (as well as the south pole). Hence,
the weight of the silver bought at the north pole
would be less when the silver is weighed at the
equator. Therefore, Rahul’s friend will disagree
about the weight of the silver.
[Note: The mass being independent of the value of g, Rahul’s
friend will agree about the mass of the silver.]
*(26) If the value of g suddenly becomes twice
its value, it will become two times more difficult
to pull a heavy object along the floor. Why?
Ans. To pull an object along the floor, it is
necessary to do work against the force of friction
between the object and the surface of the floor. This
force of friction is proportional to the weight, mg, of
the object. If the value of g becomes twice its value,
the weight of the object and hence the force of
friction will become double. Therefore, it will
become two times more difficult to pull a heavy
object along the floor.
*(27) What is the difference between mass and
weight of an object? Will the mass and weight of
an object on the earth be the same as their values
on Mars? Why?
Ans. The mass of an object is the amount of
matter present in it. It is same everywhere in the
Universe and is never zero. It is a scalar quantity
and its SI unit is kg. The weight of an object is the
force with which the earth (or any other planet/
moon/star) attracts it. It is directed towards the
centre of the earth. The weight of an object is
different at different places on the earth. It is zero atthe earth’s centre. It is a vector quantity and its SI
unit is the newton (N). The magnitude of
weight=mg.
The mass of an object will be the same on the earth
and Mars, but the weight will not be the same
because the value of g on Mars is different from that
on the earth.
- (28) What is free fall?
Define free fall.
Ans. Whenever an object moves under the
influence of the force of gravity alone, it is said to be
falling freely. - (33) What is escape velocity?
Ans. When a body is thrown vertically upward
from the surface of the earth, the minimum initial
velocity of the body for which the body is able to
overcome the downward pull by the earth and can
escape the earth forever is called the escape velocity.
Write a short note on escape velocity.
Ans. In general, when a body is thrown vertically
upward from the earth’s surface, its velocity goes on
decreasing and after some time the body falls back to
the ground. If its initial velocity is increased, the
maximum height attained by it is more, but it does
fall back to the ground. If the initial velocity is
increased continuously, for a particular initial
velocity, the body can overcome the earth’s
gravitational force and move to infinity and come to
rest there. This velocity is called the escape velocity.
Q.9 Give scientific reasons:
(1) If a feather and a stone are released from
the top of a building simultaneously, the stone
reaches the ground earlier than the feather.
Ans. (1) The motion of a body falling in air is
accelerated due to the earth’s gravitational force on
the body. The force due to buoyancy of air acts on the
body in the upward direction. As the body falls, the
friction with air opposes its motion.
(2) This opposition due to air depends on the size,
shape, density and velocity of the body. It is greater
for a feather than for a stone. Hence, the stone has
greater downward acceleration than the feather.
Therefore, the stone reaches the ground earlier than
the feather though they are released simultaneously
from the same height.
(2) The weight of a body is different on
different planets.
Ans. (1) The weight of a body of mass m on the
surface of a planet of mass M and radius R is given
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