It sounds like this“The Moon stays up because gravity pulling it in is balanced by a force pushing it out, like a tug of war that ends in a draw.”

Thinking an outward force balances gravity

2 min readBy the Cognosc teamPart of Why doesn't the Moon fall onto Earth?

Why it feels right

You have felt this. In a car going round a bend you are pressed against the door, as if something is pushing you outward. On a roundabout you feel flung out. So when something moves in a circle, it is natural to say the pull toward the centre is balanced by a push away. 'Centrifugal force' is a word everybody has heard, and balancing it against gravity makes the Moon's steadiness look like a tug of war that ends in a draw.

Why it’s wrong

If the forces balanced, the Moon would not turn: it would go in a straight line. The pull is not balanced. It is that unbalanced pull, always at right angles to the Moon's motion, that bends its path into a circle. The 'outward push' people feel in a turn is just their own inertia.

A worked example

Try a test. If the pull in and the push out balanced exactly, the net force on the Moon would be zero. A thing with zero net force moves in a straight line at a steady speed, by Newton's first law. The Moon would sail off in a straight line and never go round.

The Moon does go round. So the force on it is not zero: there is a net pull toward Earth, and that is what turns its path. The pull needed to turn something moving at speed v on a circle of radius r is an acceleration of v squared divided by r. For the Moon that is the 0.0027 m/s² that gravity supplies, so gravity provides exactly the turning and nothing else is needed.

The push you feel in the car isn't a force from outside. It is your body trying to carry straight on while the car turns, and the door pushes you round. Seen from outside, there is only one force: the door pushing in.

How to catch yourself

  • You explain orbits by 'gravity balances the centrifugal force'.
  • You think an orbiting object must feel no net force.
  • You describe the pull as 'cancelling' something.

What to hold instead

The better idea

The forces on the Moon don't cancel: gravity alone acts, pulling it toward Earth, and that unbalanced pull is what bends its path into a circle. Without it the Moon would travel in a straight line. The 'outward push' you feel when turning is your own tendency to go straight on.

Where you’ll meet it

  • Explaining why mud flies off a spinning wheel in a straight line, not outward.
  • Understanding why a ball on a string flies off straight when the string is cut.
  • Seeing why a car's tyres need grip, a sideways force, to take a bend.

Questions people ask

Is centrifugal force real?
It is real as a feeling, and as a convenient idea in a spinning frame of reference, but it isn't a force that some outside object exerts. Seen from outside, there is only the inward force that turns the path, and the body's own tendency to carry straight on.
What would happen if gravity switched off for the Moon?
It would fly off in a straight line at about a kilometre a second, along the direction it was moving at that instant, not outward from Earth. Gravity is what keeps bending its path into a circle.

Where it’s taken apart

Caught by it?

Cognosc spots mistakes like this one.

It shows you what really happens, names the exact idea that led you off, and keeps checking you still understand the right one.