10 th, part 1, Gravitation 2 ЁЯО╖
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Newton's law of gravitation is called the universal law of gravitation. why?
Ans:
The value of G does not vary with the distance between the two objects.
The value of G does not change with the nature, mass, or size of the material particles.
The value of G independence of the nature of the medium between the two objects.
Hence the value of G is called a universal constant.
This law of gravitation is applicable throughout the universe and to all particles, it is called universal law.
ЁЯО╖ If the distance between two bodies is increased by a factor of 3,
1. The gravitational force between the bodies will decrease by a factor of 9 (if the masses of the body are kept constant.)
ЁЯО╗ State the importance of Newton's universal law of gravitation.
Ans
- The importance of Newton's universal law of gravitation:
- Newton's universal law of gravitation is explained successfully and with great accuracy following points.
- The motion of the moon and the artificial satellites around the earth.
- The force that binds the objects on the Earth to the Earth ЁЯМО.
- The motion of the planets, asteroids, comets тШДя╕П, etc., around the Sun.
- The tides ЁЯМК of the sea and ocean are due to the Moon ЁЯМЭ and the Sun ЁЯМЮ. (The effect of other planets on Earth's tides is negligible because it's so small or large a distance.)
ЁЯПАTake 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.
Because the Earth's gravity provides the same acceleration to all objects, regardless of their mass.
Ans: The balls reach the ground almost at the same time.
Because the Earth's gravity provides the same acceleration to all objects, regardless of their mass.
тШШя╕П During a free fall will a heavier object accelerate more than a lighter one?
Ans:
No. The heavier object does not accelerate more than a lighter one.
The two objects will have the same acceleration.
Ans:
No. The heavier object does not accelerate more than a lighter one.
The two objects will have the same acceleration.
ЁЯкФ Will your weight remain constant as you go above the surface of the earth?
Ans
No. Our weight does not remain constant as we go above the surface of the earth.
As we go above the surface of the earth, our weight will go on to decrease.
Ans
No. Our weight does not remain constant as we go above the surface of the earth.
As we go above the surface of the earth, our weight will go on to decrease.
ЁЯен The weight of an object changes from place to place though its mass is constant.
Ans:
Mass is a major of the inertia of the object.
Ans:
Mass is a major of the inertia of the object.
Defination: The amount of matter present in a body is called its mass. Hence mass is constant everywhere.
Defination: The force with which the earth attracts the body toward the center of the earth is called its weight. Weight, W= mg.
Defination: The force with which the earth attracts the body toward the center of the earth is called its weight. Weight, W= mg.
As the value of the acceleration due to gravity (g) changes from place to place, the weight of an object changes from place to place.
ЁЯМ╣With a specific initial velocity, we can jump higher on the Moon than on the Earth.
Ans: The acceleration due to gravity on the Moon (1.63 m/s^2) is about 1/6
of that on the Earth (9.8m/s^2).
Hence, with a specific initial velocity, we can jump higher on the Moon than on the Earth.
Equation:
h= u^2/2g.
тнХ The time taken by the Earth to complete one revolution around the Sun is 3.1 56 ├Ч 10^7 s. The distance between the Earth and the Sun is 1.5 ├Ч 10^11 m. Find the speed of revolution of the Earth.
ЁЯОЗ Shaswat and Swarali are sitting at a distance of 1 m from each other. Their masses are 60 Kg and 90 Kg respectively. What is the gravitational force between them?
G= 6.67 ├Ч 10 ^ - 11N. m^2/ Kg ^2
The magnitude of the acceleration due to gravity at the surface of the earth = 9.8 m/s^2.
Ans: The acceleration due to gravity on the Moon (1.63 m/s^2) is about 1/6
of that on the Earth (9.8m/s^2).
Hence, with a specific initial velocity, we can jump higher on the Moon than on the Earth.
Equation:
h= u^2/2g.
тнХ The time taken by the Earth to complete one revolution around the Sun is 3.1 56 ├Ч 10^7 s. The distance between the Earth and the Sun is 1.5 ├Ч 10^11 m. Find the speed of revolution of the Earth.
ЁЯОЗ Shaswat and Swarali are sitting at a distance of 1 m from each other. Their masses are 60 Kg and 90 Kg respectively. What is the gravitational force between them?
G= 6.67 ├Ч 10 ^ - 11N. m^2/ Kg ^2
The gravitational force between Shashwat and Swarali is
3.6018 ├Ч10^-7N
ЁЯжв Find the magnitude of the acceleration due to gravity at the surface of the earth.
Ans: 6400 Km = 6.4 ├Ч 10^ 6 m
ЁЯжЕ What would be the value of g on the surface of the Earth if it's mass was twice as large and its radius half of what it is now?
Ans:-
The value of g on the surface of the Earth would be eight times the present value.
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