20 Amazing Tricks of Gravitation

GRAVITATION

• Gravitation :
• Every body attracts other body by a force called force of gravitation.
• Newton’s law of Gravitation :
• The force of gravitational attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
• F = (G m₁m₂)/r²

Here G is constant called universal gravitational constant.

The value of G is 6.67×10^-11 Nm²/Kg².

20 Amazing Tricks of Gravitation

• Gravity :
• The gravitational force of earth is called gravity or gravity is the force by which earth pulls a body towards its centre.
• The acceleration produced in a body due to force of gravity is called acceleration due to gravity and its value is 9.8 m/s².
• Acceleration due to gravity is independent of shape, size and mass of the body.
• Value of g decreases with height or depth from earth’s surface.
• g is maximum at poles.
• g is minimum at equator.
• g decreases due to rotation of earth.
• g decreases if angular speed of the earth increases.
• If angular speed of the earth becomes 17 times its present value, a body on the equator becomes weightless.
• On moon, the value of g is 1/6 of the value of g at the earth.

20 Amazing Tricks of Gravitation

• Kepler’s law :
• (1) All planets move around the sun in elliptical orbits, with the sun being at rest at one focus of the orbit.
• (2) The position vector of the planet with sun at the origin sweeps out equal area in equal time i.e the areal velocity of planet around the sun always remains constant.
• A consequence of this law is that the speed of the planet increases when the planet is closer to the sun and vice-versa.
• (3)The square of the period of revolution of a planet around the sun is directly proportional to the cube of mean distance of planet from the sun.

       T² α r³

20 Amazing Tricks of Gravitation

• Clearly distant planets have larger period of revolution. The time period of nearest planet Mercury is 88 days where as time period of farthest planet Neptune is 165 years.
• Weight of a body in a lift:
• If lift is stationary or moving with uniform speed (either upward or downward),the apparent weight of a body is equal to its true weight.
• If lift is going up with acceleration, the apparent weight of a body is more than the true weight.
• If lift is going down with acceleration, the apparent weight of a body is less than the true weight.
• If the cord of the lift is broken, it falls freely. In this situation, the weight of a body in the lift becomes zero. This is the situation of weightlessness.
• While going down, if the acceleration of lift is more than acceleration due to gravity, a body in the lift goes in the contact of the ceiling of the lift.

20 Amazing Tricks of Gravitation

20 Amazing Tricks of Gravitation

20 Amazing Tricks of Gravitation

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