Gravitation Questions and Answers

18 A satellite is describing a circular orbit around a massive planet of radius R The altitude of the satellite above surface of planet is 3R and its speed Vo To place the satellite in an elliptical orbit which will bring it closer to the planet its velocity is reduced from Vo to BV when B 1 The find K smallest permissible value of if satellite is not to crash on the surface of planet is
Physics
Gravitation
18 A satellite is describing a circular orbit around a massive planet of radius R The altitude of the satellite above surface of planet is 3R and its speed Vo To place the satellite in an elliptical orbit which will bring it closer to the planet its velocity is reduced from Vo to BV when B 1 The find K smallest permissible value of if satellite is not to crash on the surface of planet is
A satellite is launched into circular orbit of radius Raround the earth while a second satellite is launched into an orbit of Radius 1 02R The percentage change in the time periods of the two satellite is 1 0 7 2 1 0 3 1 5 4 3
Physics
Gravitation
A satellite is launched into circular orbit of radius Raround the earth while a second satellite is launched into an orbit of Radius 1 02R The percentage change in the time periods of the two satellite is 1 0 7 2 1 0 3 1 5 4 3
7 Two solenoids acting as short bar magnets P and Q are arranged such that their centres are on the X axis and are separated by a large distance The magnetic axes of P and Q are along X and Y axes respectively At a point R midway between their centres if B is the magnitude of induction due to Q then the magnitude of total induction at R due to the both magnets is Hhail a 3B b 5B 5 2 B d B
Physics
Gravitation
7 Two solenoids acting as short bar magnets P and Q are arranged such that their centres are on the X axis and are separated by a large distance The magnetic axes of P and Q are along X and Y axes respectively At a point R midway between their centres if B is the magnitude of induction due to Q then the magnitude of total induction at R due to the both magnets is Hhail a 3B b 5B 5 2 B d B
9 At what depth below the surface of the earth the acceleration due to gravity will be i one half ii one fourth of the acceleration due to gravity at the surface of the earth Radius of the earth is 6400 km Ans i 3200 km ii 4800 km
Physics
Gravitation
9 At what depth below the surface of the earth the acceleration due to gravity will be i one half ii one fourth of the acceleration due to gravity at the surface of the earth Radius of the earth is 6400 km Ans i 3200 km ii 4800 km
An object of mass M is divided into two parts which are placed at distance d If gravitational force of attraction is maximum between parts then find the ratio of mass of both parts
Physics
Gravitation
An object of mass M is divided into two parts which are placed at distance d If gravitational force of attraction is maximum between parts then find the ratio of mass of both parts
2 1 a Write the answers of the following questions 1 Complete the following block m1 m2 m1
Physics
Gravitation
2 1 a Write the answers of the following questions 1 Complete the following block m1 m2 m1
A geo eostationary satellite is orbiting the earth at a height of 5R above that surface of the earth R being the radius of the earth The time period of another satellite in hours at a height of 2R from the surface of the earth is
Physics
Gravitation
A geo eostationary satellite is orbiting the earth at a height of 5R above that surface of the earth R being the radius of the earth The time period of another satellite in hours at a height of 2R from the surface of the earth is
9 Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12 R If they attract each other due to gravitational force only then the distance covered by the smaller body before collision is AIPMT 2015 1 1 5R 3 4 5R 2 2 5R 4 7 5R
Physics
Gravitation
9 Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12 R If they attract each other due to gravitational force only then the distance covered by the smaller body before collision is AIPMT 2015 1 1 5R 3 4 5R 2 2 5R 4 7 5R
Two small balls of mass m each are suspended side by side by two equal threads of length L as shown in the figure If the distance between the upper ends of the threads be a the angle 0 that the threads will make with the vertical due to attraction between the balls is E 3 tan 0 1 tan 1 a X g mG 1 a x g mG a a x 0 L E 2 tan 4 tan mG a x g a x g
Physics
Gravitation
Two small balls of mass m each are suspended side by side by two equal threads of length L as shown in the figure If the distance between the upper ends of the threads be a the angle 0 that the threads will make with the vertical due to attraction between the balls is E 3 tan 0 1 tan 1 a X g mG 1 a x g mG a a x 0 L E 2 tan 4 tan mG a x g a x g
Two bodies with masses M and M are initially at rest and a distance R apart Then they move directly towards one another under the influence of their mutual gravitational attraction What is the ratio of the distances travelled by M to the distance travellel by M 1 M M 3 1 2 4 M M C 1
Physics
Gravitation
Two bodies with masses M and M are initially at rest and a distance R apart Then they move directly towards one another under the influence of their mutual gravitational attraction What is the ratio of the distances travelled by M to the distance travellel by M 1 M M 3 1 2 4 M M C 1
5 The SI unit of electric field is 6 a newton coulomb b Volt meter The electric field required to c coulomb newton d both a and b
Physics
Gravitation
5 The SI unit of electric field is 6 a newton coulomb b Volt meter The electric field required to c coulomb newton d both a and b
4 A 1500 kg satellite orbits the moon at an altitude of 2 3 10 m What is the period of the satellite R 174x10 m r 2 3x10 m moon R 1 74 x 10 m
Physics
Gravitation
4 A 1500 kg satellite orbits the moon at an altitude of 2 3 10 m What is the period of the satellite R 174x10 m r 2 3x10 m moon R 1 74 x 10 m
If M is the mass of earth and M is the mass of e m e moon M 81 M The potential energy of an object of mass m situated at a distance R from the centre of earth and r from the centre of moon will be 1 GmM m 3 GmMm R r 81 81 1 R r 1 R 2 GmM 4 GmMm e 81 1 R 1 r 81 1 R
Physics
Gravitation
If M is the mass of earth and M is the mass of e m e moon M 81 M The potential energy of an object of mass m situated at a distance R from the centre of earth and r from the centre of moon will be 1 GmM m 3 GmMm R r 81 81 1 R r 1 R 2 GmM 4 GmMm e 81 1 R 1 r 81 1 R
Three point masses each of mass m rotate in a circle of radius r with constant angular velocity due to their mutual gravitational attraction If at any instant the masses are on the vertices of an equilateral triangle of side a then the value of oo is Gm 1 2 3Gm 3 Gm 30 4 zero
Physics
Gravitation
Three point masses each of mass m rotate in a circle of radius r with constant angular velocity due to their mutual gravitational attraction If at any instant the masses are on the vertices of an equilateral triangle of side a then the value of oo is Gm 1 2 3Gm 3 Gm 30 4 zero
20 At what height from the surface of earth the gravitation potential and the value of g are 5 4 x 107 J kg and 6 0 m s respectively Take the radius of earth as 6400 km
Physics
Gravitation
20 At what height from the surface of earth the gravitation potential and the value of g are 5 4 x 107 J kg and 6 0 m s respectively Take the radius of earth as 6400 km
Two satellites of earth S and S are moving in the same orbit The mass of S is four times the mass of S Which one of the following statements is true AIPMT Prelims 2007 1 The potential energies of earth and satellite in the two cases are equal 2 S and S are moving with the same speed 3 The kinetic energies of the two satellites are equal 4 The time period of S is four times that of S
Physics
Gravitation
Two satellites of earth S and S are moving in the same orbit The mass of S is four times the mass of S Which one of the following statements is true AIPMT Prelims 2007 1 The potential energies of earth and satellite in the two cases are equal 2 S and S are moving with the same speed 3 The kinetic energies of the two satellites are equal 4 The time period of S is four times that of S