Chapter 7 – Gravitation
A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 kms^−1. If 20% of its initial energy is lost due to martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it ? Mass of mars = 6.4×10^23 kg; radius of mars = 3395 km; G = 6.67 x 10^-11 Nm^2/kg^2.
20
Sep
A rocket is fired ‘vertically’ from the surface of mars with a speed of 2 kms^−1. If 20% of its initial energy is lost due to martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it ? Mass of mars = 6.4×10^23 kg; radius of mars = [...]
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A rocket is fired 'vertically' from the surface of mars with a speed of 2 kms^−1. If 20% of its initial energy is lost due to martian atmospheric resistance ,
how far will the rocket go from the surface of mars before returning to it ? Mass of mars = 6.4×10^23 kg; radius of mars = 3395 km; G = 6.67 x 10^-11 Nm^2/kg^2. ,
A space-ship is stationed on Mars. How much energy must be expended on the spaceship to rocket it out of the solar system ? Mass of the spaceship =1000kg, Mass of the sun = 2×10^30kg. Mass of the Mars =6.4×10^23kg, Radius of Mars =3395 km. Radius of the orbit Mars =2.28×10^8 km, G = 6.67 × 10^−11 Nm^2/kg^−2.
20
Sep
A space-ship is stationed on Mars. How much energy must be expended on the spaceship to rocket it out of the solar system ? Mass of the spaceship =1000kg, Mass of the sun = 2×10^30kg. Mass of the Mars =6.4×10^23kg, Radius of Mars =3395 km. Radius of the orbit Mars =2.28×10^8 km, G = 6.67 [...]
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A space-ship is stationed on Mars. How much energy must be expended on the spaceship to rocket it out of the solar system ? Mass of the spaceship =1000kg ,
G = 6.67 × 10^−11 Nm^2/kg^−2. ,
Mass of the sun = 2×10^30kg. Mass of the Mars =6.4×10^23kg ,
Radius of Mars =3395 km. Radius of the orbit Mars =2.28×10^8 km ,
A star 2.5 times the mass of the sun and collapsed to a size of the 12km rotates with a speed of 1.5 rev per second. (Extremely compact stars of this kind are known as neutron stars. Certain observed stellar objects called pulsars are believed to belong this category ). Will an object placed on its equator remain struck to its surface due to gravity ? (Mass of the sun =2×10^30kg).
20
Sep
A star 2.5 times the mass of the sun and collapsed to a size of the 12km rotates with a speed of 1.5 rev per second. (Extremely compact stars of this kind are known as neutron stars. Certain observed stellar objects called pulsars are believed to belong this category ). Will an object placed on [...]
As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 × 10^24 kg, radius = 6400
20
Sep
As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 [...]
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000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 × 10^24 kg ,
a geostationary satellite orbits the earth at a height of nearly 36 ,
As you have learnt in the text ,
radius = 6400 ,
Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centers of the spheres? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable?
20
Sep
Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centers of the spheres? Is an object placed at that point in equilibrium? If so, is the equilibrium [...]
Two starts each of one solar mass (=2×10^30kg) are approaching each other for a head on collision. When they are a distance 109km. their speeds are negligible. What is the speed with which they collide? The radius of each star is 10^4km. Assume the stars to remain undistorted until they collide. (Use the known value of G).
20
Sep
Two starts each of one solar mass (=2×10^30kg) are approaching each other for a head on collision. When they are a distance 109km. their speeds are negligible. What is the speed with which they collide? The radius of each star is 10^4km. Assume the stars to remain undistorted until they collide. (Use the known value [...]
A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite =200 kg; mass of the earth =6. 0×10^24 kg; radius of the earth =6.4 x 10^6 m, G = 6.67 x 10^11 N-m^2/Kg^2.
20
Sep
A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite =200 kg; mass of the earth =6. 0×10^24 kg; radius of the earth =6.4 x 10^6 m, G = 6.67 x [...]
The escape speed of a projectile on the earth’s surface is 11.2 km `s^(-1)`. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.
20
Sep
The escape speed of a projectile on the earth’s surface is 11.2 km `s^(-1)`. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets. How will you 'weigh the sun' that is estimate its mass? [...]
A rocket is fired vertically with a speed of 5 km s^-1 from the earth’s surface. How far from the earth does the rocket go before returning to the earth?
20
Sep
A rocket is fired vertically with a speed of 5 km s^-1 from the earth’s surface. How far from the earth does the rocket go before returning to the earth? A rocket is fired vertically with a speed of 5 km s^-1 from the earth's surface. How far from the earth does the rocket go [...]
The weight of a body on the surface of earth is 63 N. what is the gravitational force on it due to the earth at a height equal to half the radius of earth ?
20
Sep
The weight of a body on the surface of earth is 63 N. what is the gravitational force on it due to the earth at a height equal to half the radius of earth ? The weight of a body on the surface of earth is 63 N. what is the gravitational force on it [...]