Part 1
What is the escape velocity for a body on the surface of a planet on which the acceleration due to gravity is (3.1)^2 ms^−2 and whose radius is 8100 km?
22
Sep
What is the escape velocity for a body on the surface of a planet on which the acceleration due to gravity is (3.1)^2 ms^−2 and whose radius is 8100 km? What is the escape velocity for a body on the surface of a planet on which the acceleration due to gravity is (3.1)^2 ms^−2 and [...]
The escape velocity of an object from the earth depends upon the mass of the earth ( M ), its mean density (ρ), its radius ( R ) and the gravitational constant ( G ). Thus the formula for escape velocity is
22
Sep
The escape velocity of an object from the earth depends upon the mass of the earth ( M ), its mean density (ρ), its radius ( R ) and the gravitational constant ( G ). Thus the formula for escape velocity is its mean density (ρ) its radius ( R ) and the gravitational constant [...]
The escape velocity corresponding to a planet of mass M and radius R is 50 km s^−1. If the planet’s mass and radius were 4M and R, respectively, then the corresponding escape velocity would be.
22
Sep
The escape velocity corresponding to a planet of mass M and radius R is 50 km s^−1. If the planet’s mass and radius were 4M and R, respectively, then the corresponding escape velocity would be. respectively The escape velocity corresponding to a planet of mass M and radius R is 50 km s^−1. If the [...]
A body is projected up with a velocity equal to 3/4 of the escape velocity from the surface of the earth. The height it reaches is (Radius of the earth is R)
22
Sep
A body is projected up with a velocity equal to 3/4 of the escape velocity from the surface of the earth. The height it reaches is (Radius of the earth is R) A body is projected up with a velocity equal to 3/4 of the escape velocity from the surface of the earth. The height [...]
A ball is thrown vertically upwards with a velocity equal to half the escape velocity from the surface of the earth. The ball rises to a height h above the surface of the earth. If radius of the earth is R, then ratio h/R is
22
Sep
A ball is thrown vertically upwards with a velocity equal to half the escape velocity from the surface of the earth. The ball rises to a height h above the surface of the earth. If radius of the earth is R, then ratio h/R is Mass remaining constant the radius of the earth shrinks by [...]
The work done in shifting a particle of mass m from the centre of earth to the surface of the earth is (where R is the radius of the earth )
22
Sep
The work done in shifting a particle of mass m from the centre of earth to the surface of the earth is (where R is the radius of the earth ) The work done in shifting a particle of mass m from the centre of earth to the surface of the earth is (where R [...]
A body of mass m rises to a height h 5/R from the earth’s surface where R is the earth’s radius. If g is acceleration due to gravity at the earth’s surface, the increase in potential energy is
22
Sep
A body of mass m rises to a height h 5/R from the earth’s surface where R is the earth’s radius. If g is acceleration due to gravity at the earth’s surface, the increase in potential energy is A body of mass m rises to a height h 5/R from the earth's surface where R [...]
A particle of mass M is placed at the centre of a uniform spherical shell of mass 3M and radius R . The gravitational potential on the surface of the shell is:
22
Sep
A particle of mass M is placed at the centre of a uniform spherical shell of mass 3M and radius R . The gravitational potential on the surface of the shell is: A particle of mass M is placed at the centre of a uniform spherical shell of mass 3M and radius R . The [...]
The mass of the earth is 6 x 10^24 kg. The potential energy of a body of mass 50 kg at a distance of 6.3 x 10^9 m from the centre of the earth is
22
Sep
The mass of the earth is 6 x 10^24 kg. The potential energy of a body of mass 50 kg at a distance of 6.3 x 10^9 m from the centre of the earth is The mass of the earth is 6 x 10^24 kg. The potential energy of a body of mass 50 kg [...]
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g’ then
22
Sep
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g’ then Mass remaining constant the radius of the [...]