i.e., m1 = 1 kg
m2 = 1 kg
d = 1m
G = 6.6734 x 10-11 Nm2/kg2
This is a very weak force.
Now, let us see what is the force existing between two objects of masses 60kg and 100kg separated by a distance of 1m.
This is also a very weak force.
From the above two examples, it is clear why we do not experience the force exerted by one object (on the surface of Earth) on the other.
Let us now calculate the force of attraction between an object of mass 50 kg and Earth. The mass of the Earth is about 6x1024kg. The distance between the Earth and the object is approximately 64x105m. The force of attraction between the object and the Earth
This force is so strong that we cannot ignore it. Now let us calculate the force of attraction between Earth and the Sun.
The mass of the Earth = 6x1024 kg The mass of the Sun = 1.99x1030 kg
The distance between the Earth and the Sun = 15x1010m
This force is very large and it is this force which keeps the planets in their respective orbits. From the above examples, it is very clear that the gravitational force between two objects of ordinary size is very small, whereas the force is very large when atleast one of the objects is massive.
1. Calculate the force of attraction between Earth and the Sun. Solution:
Given Mass of the Sun =1032 kg Mass of the Earth = 6x1024kg
Distance between the Sun and Earth = 150x109m
F
2. What is the force existing between two spheres of mass 10 kg each and placed 100 cm apart?Solution:
m1 = m2 = 10 kg Distance d =100 cm
G=6.6734 x 10-11 Nm2/kg2.
3. Calculate the force of attraction existing between the Earth and an object of mass 50kg placed on the surface of the Earth. Solution:
Given the mass of Earth =6x1024 kg Radius of Earth = 6400 km = 6400x103 m
Mass of Earth (m1) = 6x1024 kgMass of object (m2) = 50 kg G=6.6734x10-11 Nm2/kg2
Distance between the object and Earth = radius of the Earth = 6400000m
= 3.1281x109 N
No comments:
Post a Comment