Gravitation
Physics ⇒ Mechanics
Gravitation starts at 9 and continues till grade 12.
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A mass m is placed at a distance r from another mass M. Write the expression for the gravitational force between them.
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.
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 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?
The escape velocity from the surface of a planet is given by which of the following formulas?
(1) ve = √(2GM/R)
(2) ve = √(GM/R)
(3) ve = √(GM/2R)
(4) ve = √(GMR)
Which of the following best describes a geostationary satellite?
(1) It orbits the Earth in 24 hours at any altitude
(2) It remains fixed above the equator and orbits once every 24 hours
(3) It orbits the poles
(4) It has a variable speed
Which of the following is NOT a consequence of the law of gravitation?
(1) Tides in the oceans
(2) The motion of planets around the Sun
(3) The existence of seasons
(4) The fall of an apple from a tree
Which of the following is the correct SI unit for gravitational potential?
(1) J/kg
(2) N/kg
(3) J
(4) N·m²/kg²
Fill in the blank: The gravitational field intensity at a point is defined as the ________ per unit mass at that point.
Fill in the blank: The gravitational force between two objects becomes ________ times if the distance between them is doubled.
Fill in the blank: The gravitational potential at a distance r from a mass M is ________.
Fill in the blank: The gravitational potential energy of a mass m at a distance r from the center of the Earth (mass M) is ________.
True or False: The gravitational force between two objects depends only on their masses and the distance between them.
True or False: The gravitational force is the weakest of the four fundamental forces in nature.
True or False: The gravitational potential at infinity is zero.
True or False: The value of G changes from place to place on the Earth's surface.
