- [Easy]An astronaut inside an orbiting space station floats freely and feels completely weightless even though the station is well within the Earth's gravita...
- [Medium]A mission planner wants the minimum energy required to remove a 1 kg object resting on the Earth's surface and send it completely free of the Earth's ...
- [Medium]An astronomer observes a planet orbiting a Sun-like star at a mean distance of 4 astronomical units, where 1 astronomical unit corresponds to an orbit...
- [Medium]An imaging satellite is to be placed in a circular orbit skimming just above the Earth's surface for a low-altitude survey. Using g = 9.8 m/s^2 and R ...
- [Easy]A student fires identical projectiles from the same point on the Earth's surface at different launch angles and with different projectile masses. Whic...
- [Medium]A geophysics team lowers an instrument into a deep mine shaft to a depth equal to half the Earth's radius. Assuming the Earth has uniform density and ...
- [Medium]Two identical point masses are fixed at the two ends of a straight rod and a test particle is placed exactly at the midpoint between them. What is the...
- [Medium]A space agency wants the minimum launch speed needed for a probe to leave the Earth permanently without further propulsion. Taking g = 9.8 m/s^2 and R...
- [Easy]An exoplanet discovered by an observatory has twice the mass of the Earth and also twice the Earth's radius. What is the acceleration due to gravity o...
- [Medium]In a tabletop demonstration, two small spheres each of mass 10 kg are held with their centres exactly 1 m apart. What is the gravitational potential e...
- [Medium]A spacecraft control team needs the gravitational potential at the surface of the Earth for trajectory planning. Using M = 6.0 × 10^24 kg and R = 6.4 ...
- [Medium]A small research satellite is set into a circular orbit very close to the Earth's surface so its orbital radius is essentially the Earth's radius. Tak...
- [Medium]A telecommunications company wants a satellite that appears permanently fixed above one point on the Earth's equator. Which set of conditions must thi...
- [Easy]Two communication satellites exert a mutual gravitational force F on each other while drifting in space. If the mass of each satellite is doubled and ...
- [Medium]A weather monitoring probe is carried to an altitude equal to the radius of the Earth above its surface. Taking surface gravity as 9.8 m/s^2, what val...
- [Easy]Two lead spheres of masses 3 kg and 12 kg are placed with their centres 0.5 m apart on a laboratory bench. What is the gravitational force of attracti...
- [Hard]Two masses m and 4m are placed at a distance d apart. At what point on the line joining them will the gravitational field intensity be zero?...
- [Medium]A satellite revolves in a circular orbit where the radius is 10⁷ m and the acceleration due to gravity is 10 m/s². What is its time period?...
- [Easy]If the value of g at Earth's surface is 10 m/s², what is its value at a depth of R/2 (where R is Earth's radius)?...
- [Medium]The gravitational potential at a point due to Earth is -62.5 MJ/kg. What is the gravitational field intensity at that point if the point is at a dista...
- [Easy]The gravitational field intensity at a point is 5 N/kg. What force will a 2 kg mass experience at that point?...
- [Easy]An astronaut weighs 600 N on Earth. What will be their weight on the Moon where g_moon = g_earth/6?...
- [Easy]What is the gravitational potential energy of a mass m at a distance r from the center of Earth (mass M)?...
- [Medium]A satellite orbits Earth at a height equal to Earth's radius R. What is the orbital velocity? (g = 10 m/s², R = 6.4 × 10⁶ m)...
- [Hard]At what height above the Earth's surface will the acceleration due to gravity be half of its value at the surface? (R = radius of Earth)...
- [Easy]Two masses of 5 kg and 10 kg are separated by a distance of 2 m. What is the gravitational force between them? (G = 6.67 × 10⁻¹¹ N·m²/kg²)...
- [Medium]Total mechanical energy of satellite of mass m in circular orbit radius r is:...
- [Easy]Gravitational potential at surface of Earth (mass M radius R) is:...
- [Easy]Escape velocity from spherical planet (mass M radius R) is:...
- [Medium]Orbital speed of satellite just above Earth's surface (radius R) is approximately:...
- [Medium]Kepler's third law states T^2 proportional to:...
- [Easy]Gravitational field (intensity) is defined as:...
- [Easy]Minimum energy to remove mass m from surface of Earth to infinity is:...
- [Easy]Time period of geostationary satellite is:...
- [Hard]Escape velocity from a moon of half Earth's radius and quarter its mass is (Earth v_e = v):...
- [Hard]A satellite shifted from radius r to 4r. New period compared to old T is:...
- [Medium]Gravitational force on a mass inside Earth (uniform density) at distance r < R from center varies as:...
- [Easy]Potential energy of two masses m and m separated by r is:...
- [Hard]Energy required to move satellite from radius r to 2r (same planet) initially circular is:...
- [Medium]Value of g at height h above Earth (R radius) approximately is:...
- [Easy]Gravitational force between two masses m1 and m2 separated by r is proportional to:...
- [Easy]The height at which the acceleration due to gravity becomes g/9 (where g is surface gravity) in terms of Earth's radius R is:...
- [Medium]A satellite is revolving in a circular orbit at a height h from the earth's surface (radius of earth R, h << R). The minimum increase in its orbital v...