Advertisements
Advertisements
प्रश्न
If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?
Advertisements
उत्तर
By Newton’s law of gravitation
F = `("GM"_1"M"_2)/"r"^2`
Here, the masses and mutual distance between the two objects are doubled.
F = `("G"("M"_1) (2"M"_2))/((2"r")^2) = (4"GM"_1"M"_2)/(4"r"^2)`
F = `("GM"_1"M"_2)/"r"^2`
There is no change in the gravitational force between them.
APPEARS IN
संबंधित प्रश्न
The gravitational potential due to the Earth is minimum at _______.
The linear momentum and position vector of the planet is perpendicular to each other at _________.
State Newton’s Universal law of gravitation.
If the angular momentum of a planet is given by `vec"L" = 5"t"^2hat"i" - 6"t"hat"j" + 3hat"k"`. What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?
Suppose unknowingly you wrote the universal gravitational constant value as G = 6.67 × 1011. instead of the correct value, G = 6.67 × 10−11, what is the acceleration due to gravity g' for this incorrect G? According to this new acceleration due to gravity, what will be your weight W'?
The escape velocity of a body on a planet 'A' is 12 kms–1. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is ______.
The time period of a satellite revolving around the earth in a given orbit is 7 hours. If the radius of the orbit is increased to three times its previous value, then the approximate new time period of the satellite will be ______.
The mass density of a spherical galaxy varies as `"K"/"r"` over a large distance 'r' from its center. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as :
Four identical particles of mass M are located at the corners of a square of side 'a'. What should be their speed if each of them revolves under the influence of the other's gravitational field in a circular orbit circumscribing the square?
What causes tides on Earth?
