Gravitational Force Independence from Medium
The gravitational force between two point masses is described by Newton's Law of Universal Gravitation.
The formula for the gravitational force (\(F\)) between two masses, \(m\) and \(M\), separated by a distance \(r\) is given by:
\(F = G \frac{m M}{r^2}\)Where \(G\) is the universal gravitational constant.
Key Factors Affecting Gravitational Force
- Masses of the objects (\(m\) and \(M\))
- Distance between the centers of the objects (\(r\))
- The universal gravitational constant (\(G\))
Importantly, the gravitational force is independent of the medium (e.g., air, vacuum, liquid) in which the masses are situated. The value of \(G\) remains constant everywhere.
Effect of the Liquid Medium
Introducing a liquid with a specific gravity of 3 between the masses fills the space. Specific gravity relates to the density of the liquid compared to water. While density and the medium can affect other types of forces (like electrostatic force or buoyancy), they do not alter the fundamental gravitational attraction between two masses.
Since the masses (\(m\), \(M\)), the distance (\(r\)), and the gravitational constant (\(G\)) remain unchanged, the gravitational force (\(F\)) between the spheres does not change.
Therefore, the gravitational force will still be \(F\).
Similar Questions
The value of g on the moon is 1/6 th of the value of g on the earth. If a man can jump 1.5 m high on the earth, on the moon, he can jump up to a height of:
Fill in the blank with the most appropriate option.
The Universal Constant of Gravitation is ________.
Consider a hypothetical planet whose mass and radius are both half that of Earth. If g is the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the planet will be:
- Let \(W_e\) and \(W_m\) be the weight of an object on the Earth and the Moon, respectively. Then, the ratio \(W_e/W_m\) is equal to ______.
- A boy throws two balls in air in such a manner that when the first ball is at its maximum height he throws the second ball. If the balls are thrown with the time difference of one second, the maximum height attained by each ball is \((g = 10 \text{ m/s}^2)\)
- An object with a specific mass will weigh ______.
What will happen during the free fall of a massive object under the influence of gravitational force of the earth ?
Which of the following statements is/are INCORRECT?
A. The ratio of the force of gravitation between two masses, m1 and m2, kept at a distance R on the earth and on the moon is 1:1.
B. Nm2/kg2 is the SI unit of G.
C. The value of G depends on the distance between the bodies.
D. The value of G depends on the masses of the bodies.Acceleration due to gravity is highest at ____.
A 100 gram ball is kept on the top of a building of 70 m height. Find the potential energy of the ball (assume g = 10 m/s 2)
Important Questions from Gravity
Which of the following statement is correct?
I. Gravitation is a weak force unless large masses are involved.
II. The weight is equal to the product of mass and acceleration due to gravity.
What is the reason that the value of g (acceleration due to gravity) becomes greater at the poles than at the equator?
If the acceleration due to gravity on the surface of earth is g, then the acceleration due to gravity on the surface of a planet whose mass is same as that of earth and radius is twice as that of earth is ___________.
A man's mass is 72 kg on the earth. His mass on the moon will be:
At which of the following place, weight of an object is maximum?
