What specific physical quantity ensures a satellite maintains its orbit without continuous propulsion?
- (a)Mass
- (b)Gravitational pull
- (c)Orbital velocity
- (d)Atmospheric drag
Answer
Why
Correct — C. A satellite is in continuous free fall. Gravity pulls it towards Earth, but its sideways speed carries it forward so that it keeps missing.
At the right speed, the orbital velocity v = √(GM⁄r), gravity supplies exactly the centripetal force for a circle of radius r. With almost no air to slow it, no engine is needed → option (c).
Why the others are wrong
- (a)Mass — The satellite's mass cancels out. In v = √(GM⁄r), M is Earth's mass, so a heavy satellite and a light one at the same height orbit at the same speed.
- (b)Gravitational pull — Gravity alone would pull the satellite down. It provides the centripetal force, but the orbit holds only when the satellite also has the right sideways speed, the orbital velocity.
- (d)Atmospheric drag — Atmospheric drag works against an orbit. It slows low satellites and makes their orbits decay, which is why the International Space Station has to be reboosted periodically.
Concept
For a circular orbit, gravity must supply the centripetal force: GMm⁄r² = mv²⁄r, which gives v = √(GM⁄r), with r measured from Earth's centre.
Close to Earth's surface this is about 7.9 km/s. Higher orbits need less speed, and a body launched at escape velocity, about 11.2 km/s from the surface, leaves Earth's gravity altogether.
Because the satellite's own mass m cancels, orbital velocity depends only on Earth's mass and the orbit's radius.
Key facts
- Orbital velocity for a circular orbit: v = √(GM⁄r), with r measured from Earth's centre.
- Orbital velocity near Earth's surface is about 7.9 km/s, against an escape velocity of about 11.2 km/s.
- Orbital velocity does not depend on the satellite's mass.
- Atmospheric drag makes low orbits decay, so the ISS needs periodic reboosts.
Study next
Common traps
- Choosing gravitational pull because it holds the satellite: without the right sideways speed, gravity brings it down.
- Thinking a heavier satellite must fly faster: the satellite's mass cancels out of the orbital-speed equation.
Here the physics of an orbit is asked as a single quantity, and GA Q.17 of this same shift works the same GM⁄r² relation the other way, asking what a 1% cut in Earth's radius does to g.
Orbit types and their uses are asked at 15 Sep 2025, 16:00, GA Q.12 (Sun-synchronous versus geostationary orbits) and 12 Sep 2025, 16:00, GA Q.16 (PSLV and the orbits it serves).
Related PYQs
No directly related past PYQ was found.