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Recent questions and answers in Gravitation

Questions >> JEEMAIN and NEET >> Physics >> Class11 >> Gravitation

a body is projected vertically upward from the earths surface such that it reaches a height equal to the radius of the earth above its surface.find the velocity of projection

answered Feb 3, 2017 by prekshu.02

1 answer

A spherical hole is made in a solid sphere of radius R. the mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is

answered Dec 14, 2015 by vijayalakshmi.r

1 answer

Objects at rest on earth's surface move in circular paths with a period of 24 hours. What should be the length of the day so that such objects experience weightlessness, so that they are in "true orbit"

answered Mar 23, 2014 by balaji.thirumalai

1 answer

A sphere of mass M and radius $R_2$ has a concentric cavity of radius $R_1$ as shown. The force F exerted by the sphere on a particle of mass m located at a distance r from the center of sphere varies as $(0 < r < \alpha)$

answered Aug 30, 2013 by meena.p

1 answer

A uniform ring of mass $M$ and radius $R$ is placed directly above a uniform sphere of mass $8M$ and of radius $R$. The center of the ring is at a distance of $d= \sqrt 3 R$ from the center of the sphere. The gravitational attraction between the sphere and ring is

answered Aug 30, 2013 by meena.p

1 answer

Three identical stars each of mass M form an equilateral triangle that rotates around the center of the triangle. The system is isolated and edge length of the triangle of the triangle is L. The amount of work that is required to dismantle the system is

answered Aug 30, 2013 by meena.p

1 answer

Four similar particles of mass M are orbiting in a circle of radius r in the same angular direction because of their mutual gravitational attraction, velocity of particle is

answered Aug 30, 2013 by meena.p

1 answer

A satellite revolving roung the earth with orbital speed $v_0$, If it stops suddenly, the speed with which it will strike the surface of the earth would be (-ve escape velocity of the particle on earth's surface)

answered Aug 30, 2013 by meena.p

1 answer

A planet revolves around the sum in an elliptical orbit of eccentricity e.If T is the time period of the planet, then the time spent by the planet between the ends of the planet between the ends of the minor axis close to the sun is

answered Aug 30, 2013 by meena.p

1 answer

A particle is fired upward with a speed of $20 \;Km/s$. The speed with which it will move in in interstellar space is

answered Aug 30, 2013 by meena.p

1 answer

Suppose universal gravitational constant starts to decrease, then

answered Aug 30, 2013 by meena.p

1 answer

If G is the universal gravitational constant and $\rho$ is the uniform density of a spherical planet. Then the shortest possible period of rotation of the planet can be

answered Aug 30, 2013 by meena.p

1 answer

A solid sphere of uniform density and radius 4 units is located with its center at origin O. Two spheres of equal radii/ units with their center $A(-2,0,0)$ and $B(2,0,0)$ respectively are taken out of the solid leaving behind cavities as shown Then

answered Aug 30, 2013 by meena.p

1 answer

Three particles of equal mass m are situated at verticles of a equilateral triangle of side l. What should be velocity of each particle so that they move on a circular path without changing l

answered Aug 30, 2013 by meena.p

1 answer

If the angular velocity of a planet about its own axis is halved, the distance of geostationary satellite of this planet from the center of the planet will become

answered Aug 30, 2013 by meena.p

1 answer

An artificial satellite of mass m moves in an orbit whose radius is n times the radius of earth. Assuming the resistance to the motion is proportional to square of velocity ie $F= av^2$ where a is a constant. How long will the satellite take to fall to earth. M-mass of earth R- radius of earth

answered Aug 29, 2013 by meena.p

1 answer

The acceleration due to gravity on moon is only one sixth that of earth. If the earth and moon are assumed to have same densities the ratio of radii of moon and earth will be

answered Aug 29, 2013 by meena.p

1 answer

Period of revolution of an earth satellite close to surface of earth is 90 minutes. The time period of another satellite in an orbit at a distance three times the radius of earth from its surface will be

answered Aug 29, 2013 by meena.p

1 answer

Two bodies of masses m and 4m are placed at a distance r . The gravitational potential at a point on the line joining them where the gravitational field is zero, is

answered Aug 29, 2013 by meena.p

1 answer

The radius of planet is R. A satellite revolves around it in a circular orbit of radius r with angular speed 'w'. The acceleration due to gravity on the planet's surface will be

answered Aug 29, 2013 by meena.p

1 answer

A planet is moving in an elliptical path around the sun of shown speed of planet in position P and Q are $v_1$ and $v_2$ respectively with $SP= r_1\;and SQ=r_2$ then $v_1/v_2$ is equal to

answered Aug 29, 2013 by meena.p

1 answer

The magnitude of potential energy per unit mass of object at surface of earth is E. then the escape velocity of the object is

answered Aug 29, 2013 by meena.p

1 answer

Speed of a planet in an elliptical orbit with semi major axis 'a' about sum of mass M at a distance r from the sun is

answered Aug 29, 2013 by meena.p

1 answer

A smooth tunnel is dug along the radius of earth that ends at center. A ball is released from the surface of earth along tunnel. What is the velocity when it strike the center?

answered Aug 29, 2013 by meena.p

1 answer

The density of case of a planet is $s_1$ and that of the outer shell is $s_2$.The radius of case and that of the planet are R and 2R respectively. Gravitational acceleration at the surface of the planet is same as at a depth R. Find $\large\frac{s_1}{s_2}$

answered Aug 29, 2013 by meena.p

1 answer

A uniform rod of length $'l'$ whose mass per unit length is $\lambda$. The gravitational force on a particle of mass m located at a distance d from one end of the rod as shown is

answered Aug 29, 2013 by meena.p

1 answer

If a body is to be projected vertically upwards from the surface of the earth to reach a height nR then the velocity with which it is to be projected is

answered Aug 29, 2013 by meena.p

1 answer

A body of mass m ascends from the earth's surface with zero initial velocity due to action of two forces as shown. The force $F$ varying with $h$ as $\hat F=-2m \vec {g} (1-ah)$ where a is constant. Find the maximum height atained by the body t

answered Aug 29, 2013 by meena.p

1 answer

The work done in slowly lifting a body from earth's surface to a height R (radius of earth) is equal to two times the work done in lifing the same body from earth's surface to height h there h is equal to

answered Aug 29, 2013 by meena.p

1 answer

If a planet orbiting the sun in a circular orbit suddenly stops, it will fall onto the sun in a time n(T) where T is the period of planets revolution , then n is

answered Aug 29, 2013 by meena.p

1 answer

A geo stationary satellite orbits around the earth in a circular orbit of radius $36000km$. Then the time period of a spy satellite orbiting a few Kilometers above the earth's surface $(R_{earth}=6400 Km)$ will be approximately

answered Aug 26, 2013 by meena.p

1 answer

Two satellites are moving in a common plane along circular paths. with one having angular velocity $w_1=1.09 \times 10^{-3} rad/s$ and another $w_2=1.08 \times 10^{-3}rad /s$. Find time interval which seperates the periodic approaches of the satellites to each other over minimum distance, if they are revolving in opposite sense.

answered Aug 26, 2013 by meena.p

1 answer

The gravitational field due to mass distribution is $ E= k/x^3$ in the x direction where k is a constant. Taking gravitational potential to be zero at infinity, its value at a distance x is

answered Aug 26, 2013 by meena.p

1 answer

A satellite can be in a geostationary orbit around the earth at a distance r from the center. If the angular velocity of earth about its axis doubles, a satellite can now be in a geostationary orbit around earth if its distance from the center is

answered Aug 26, 2013 by meena.p

1 answer

Mass density of a solid sphere is $\rho$. Radius of sphere is R. The gravitational field at a distance $r$ from the center of the sphere inside it is

answered Aug 26, 2013 by meena.p

1 answer

If the period of revolution of an artificial satellite just above the earth's surface is T and density of earth is $\rho$ then $\rho T ^2$

answered Aug 26, 2013 by meena.p

1 answer

A particle of mass M is placed at the center of a uniform sperical shell of mass 2M and radius R. The gravitational potential on the surface of the shell is

answered Aug 26, 2013 by meena.p

1 answer

What is the acceleration due to gravity at surface of mass if its diameter is $6760\;km$ and mass is one tenth that of earth. The diameter of earth is $12742\;km$ acceleration due to gravity on earth $=9.8 m/s^2$

answered Aug 26, 2013 by meena.p

1 answer

Three particles each having a mass 100 gm are placed on the verticles of an equilateral triangle of side 20 cm. The work done in increasing the side of their triangle to 40 cm is $(G= 6.67 \times 10^{-11}\;Nm^2/kg^2)$

answered Aug 26, 2013 by meena.p

1 answer

A satellite is seen after each 8 hours over equator at a place on earth when its sence of rotation is opposite to the earth. The time interval after which it can be seen at the same place when sense of rotation of earth and satellite is same , will be

answered Aug 24, 2013 by meena.p

1 answer

Suppose the gravitational force varies inversely as the n-th power of distance. Then the time period of a planet in circular orbit of radius 'r' around the sun will be proportional to

answered Aug 24, 2013 by meena.p

1 answer

A satellite of mass $m_s$ revolving in a circular orbit of radius $r_s$ round the earth of mass M has a total energy E. Then its angular momentum will be

answered Aug 24, 2013 by meena.p

1 answer

The mean radius of earth is R, its angular velocity on its own axis is 'w' and acceleration due to gravity is g. What will be the radius of orbit of a geostationary satellite ?

answered Aug 24, 2013 by meena.p

1 answer

A geostationary satellite is orbiting the earth at a height of 6R where R is radius of earth. The time period of another satellite at a height of $2.5 R$ from the surface of earth is

answered Aug 24, 2013 by meena.p

1 answer

Mean distance of mars from sun is 1.524 times the distance of earth from sun. The period of revolution of mars around the sun is

answered Aug 24, 2013 by meena.p

1 answer

If a graph is plotted between $T^2$ and $r^3$ for a planet the slope will be

answered Aug 24, 2013 by meena.p

1 answer

A particle is suspended from a spring and it stretches the spring by 1 cm on the surface of the earth. The same particle will stretch the same spring at a place 800 Km above the earth by

answered Aug 24, 2013 by meena.p

1 answer

The radius of the earth $R_e$ and the acceleration due to gravity at its surface is g. The work required to rising a body of mass m to height h from the surface of the earth will be

answered Aug 24, 2013 by meena.p

1 answer

What would be the angular speed of earth, so that bodies lying on equator may appear weightless? $(g=10 m/s^2\; R=6400km)$

answered Aug 23, 2013 by meena.p

1 answer

Two bodies of mass $10^2 kg$ and $10^3kg$ are lying 1m apart. The gravitational potential at mid point of line joining them is

answered Aug 23, 2013 by meena.p

1 answer

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