Chapter 10 – Gravitation
How many hours would make a day if earth were rotating at such a high speed that the weight of a body on the equator were zero ?
13
Sep
How many hours would make a day if earth were rotating at such a high speed that the weight of a body on the equator were zero ? How many hours would make a day if earth were rotating at such a high speed that the weight of a body on the equator were zero [...]
A ball of mass m is fired vertically upwards from the surface of the earth with velocity nνe, where νe is the escape velocity and n>1. To what height will the ball rise? Neglecting air resistance, take radius of the earth as R
13
Sep
A ball of mass m is fired vertically upwards from the surface of the earth with velocity nνe, where νe is the escape velocity and n>1. To what height will the ball rise? Neglecting air resistance, take radius of the earth as R A ball of mass m is fired vertically upwards from the surface [...]
The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point P be −5 J kg^−1. Suppose, we arbitrarily assume the gravitational potential at infinity to be +10 J kg^−1, then the gravitational potential at P will be
13
Sep
The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point P be −5 J kg^−1. Suppose, we arbitrarily assume the gravitational potential at infinity to be +10 J kg^−1, then the gravitational potential at P will be The gravitational potential due to earth at infinite [...]
A rocket is launched vertically from the surface of earth with an initial velocity v. How far above the surface of earth it will go? Neglect the air resistance.
13
Sep
A rocket is launched vertically from the surface of earth with an initial velocity v. How far above the surface of earth it will go? Neglect the air resistance. A rocket is launched vertically from the surface of earth with an initial velocity v. How far above the surface of earth it will go? Neglect [...]
A spherical shell is cut into two pieces along a chord as shown in the figure. P is a point on the plane of the chord. The gravitational field at P due to the upper part is I1 and that due to the lower part is I2. What is the relation between them?
13
Sep
A spherical shell is cut into two pieces along a chord as shown in the figure. P is a point on the plane of the chord. The gravitational field at P due to the upper part is I1 and that due to the lower part is I2. What is the relation between them? If a [...]
Two satellites of the same mass are launched in the same orbit around the earth so as to rotate opposite to each other. If they collide inelastically and stick together as wreckage, the total energy of the system just after collision is
13
Sep
Two satellites of the same mass are launched in the same orbit around the earth so as to rotate opposite to each other. If they collide inelastically and stick together as wreckage, the total energy of the system just after collision is the total energy of the system just after collision is Two satellites of [...]
A skylab of mass m kg is first launched from the surface of the earth in a circular orbit of radius 2R(from the centre of the earth) and then it is shifted from this circular orbit to another circular orbit of radius 3R. The minimum energy required to place the lab in the first orbit and to shift the lab from first orbit to the second orbit are.
13
Sep
A skylab of mass m kg is first launched from the surface of the earth in a circular orbit of radius 2R(from the centre of the earth) and then it is shifted from this circular orbit to another circular orbit of radius 3R. The minimum energy required to place the lab in the first orbit [...]
A spaceship is launched into a circular orbit close to earth’s surface. The additional velocity that should be imparted to the spaceship in the orbit to overcome the gravitational pull is:
13
Sep
A spaceship is launched into a circular orbit close to earth’s surface. The additional velocity that should be imparted to the spaceship in the orbit to overcome the gravitational pull is: A spaceship is launched into a circular orbit close to earth's surface. The additional velocity that should be imparted to the spaceship in the [...]
The masses and radii of earth and moon are M1, R1 and M2, R2 respectively. Their centres are at a distance d apart. The minimum speed with which a particle of mass m should be projected from a point midway between the two centres so as to escape to infinity is:
13
Sep
The masses and radii of earth and moon are M1, R1 and M2, R2 respectively. Their centres are at a distance d apart. The minimum speed with which a particle of mass m should be projected from a point midway between the two centres so as to escape to infinity is: If the radius of [...]
Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to r5/2, then the square of the time period will be proportional to.
13
Sep
Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to r5/2, then the square of the time period will be proportional to. If the radius of the [...]