Advertisements
Advertisements
प्रश्न
What is meant by the superposition of the gravitational field?
उत्तर
The total gravitational field at a point due to all the masses is given by the vector sum of the gravitational field due to the individual masses. This principle is known as the superposition of gravitational fields.
`vec"E"_"total" = vec"E"_1 + vec"E"_2 + ... vec"E"_"n"`
= `-"Gm"_1/"r"_1^2 hat"r"_1 - "Gm"_2/"r"_2^2 hat"r"_2 - "Gm"_"n"/"r"_"n"^2 hat"r"_"n"`
`vec"E"_"total" = -sum_("i" = 1)^"n" ("Gm"_"i")/("r"_"i"^2) hat"r"_"i"`
APPEARS IN
संबंधित प्रश्न
If the masses of the Earth and Sun suddenly double, the gravitational force between them will ___________.
A planet moving along an elliptical orbit is closest to the Sun at distance r1 and farthest away at a distance of r2. If v1 and v2 are linear speeds at these points respectively. Then the ratio `"v"_1/"v"_2` is
If the mass and radius of the Earth are both doubled, then the acceleration due to gravity g'
Write unit of the gravitational field.
Define gravitational potential.
What is the difference between gravitational potential and gravitational potential energy?
Derive the expression for gravitational potential energy.
Prove that at points near the surface of the Earth, the gravitational potential energy of the object is U = mgh.
Calculate the gravitational field at point O due to three masses m1, m2 and m3 whose positions are given by the following figure. If the masses m1 and m2 are equal what is the change in a gravitational field at the point O?
Earth revolves around the Sun at 30 km s−1. Calculate the kinetic energy of the Earth. In the previous example, you calculated the potential energy of the Earth. What is the total energy of the Earth in that case? Is the total energy positive? Give reasons.
