As per forum rules, you should quote any relevant standard equations of which you are aware and must show some attempt at a solution. If totally stuck, you should at least be able to provide some thoughts.anshuman3105 said:A large spherical planet of radius R made of a material of density d, has a spherical cavity of radius R/2, with center of cavity a distance R/2 from the centre of the planet. Find the gravitational Force on a small mass m at the centre of the cavity
I get ##\frac 23 G\pi d r m## (I'm guessing the "/2" in what you posted is a typo).anshuman3105 said:using the formula F = Gm1m2/r^2, i am getting 16Gpidrm/3 but the solution is 2Gpidrm/2
That formula is essentially for point masses. It also works if one mass is a uniform spherical shell (or assembly of concentric uniform spherical shells) and the other (point) mass is outside all the shells.anshuman3105 said:I used Gm1m2/r^2
http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/sphshell2.htmlanshuman3105 said:Can you show it to me the solved part..?
Gravitational force is a natural phenomenon that causes objects with mass to be attracted to one another. It is the force that keeps planets in orbit around the sun and objects on Earth from floating away into space.
The gravitational force on an object inside a planet's cavity is determined by the mass of the planet, the mass of the object, and the distance between them. The closer the object is to the center of the planet, the stronger the gravitational force will be.
Yes, the shape of the cavity can affect the gravitational force on an object. If the cavity is not spherical, the force of gravity will be stronger towards the center of mass of the cavity.
The strength of gravitational force on an object in a planet's cavity is calculated using Newton's Law of Universal Gravitation, which states that the force of gravity is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance between them.
No, gravitational force cannot be shielded in a planet's cavity. The force of gravity is a fundamental force of nature and cannot be blocked or shielded by any known material.