Gravitation
Physics ⇒ Mechanics
Gravitation starts at 9 and continues till grade 12.
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See sample questions for grade 12
A body is projected vertically upwards from the surface of the Earth with a velocity equal to the escape velocity. What will be its velocity when it is infinitely far from the Earth?
A body of mass 10 kg is taken to a height equal to the radius of the Earth above its surface. What is its weight at that height? (Take g = 9.8 m/s²)
A mass m is placed at a distance r from another mass M. Write the expression for the gravitational force between them.
A planet has twice the mass of Earth and the same radius. What is the escape velocity from its surface compared to that of Earth?
A satellite is orbiting the Earth at a height where the acceleration due to gravity is 4.9 m/s². If the radius of the Earth is 6,400 km, what is the height of the satellite above the Earth's surface?
A satellite is revolving around the Earth in a circular orbit. What provides the necessary centripetal force for its motion?
Describe the difference between gravitational mass and inertial mass.
Explain why astronauts feel weightless inside an orbiting spacecraft.
Explain why the value of g decreases as we move from the equator to the poles.
If the distance between two masses is reduced to half, by what factor does the gravitational force between them change?
If the mass of a planet is doubled and its radius is halved, how does the acceleration due to gravity at its surface change?
If the mass of the Earth is 6 × 1024 kg and its radius is 6.4 × 106 m, calculate the acceleration due to gravity at the surface of the Earth.
If the mass of the Earth were to increase by 10% with no change in its radius, how would the value of g at the surface change?
State Kepler's three laws of planetary motion.
State Newton's law of universal gravitation.
A comet moves in a highly elliptical orbit around the Sun. At which position in its orbit does it have the maximum kinetic energy? Explain your answer.
