2.6Force and Translational Dynamics
Gravitational Force — AP PHYSICS 1 Revision Notes & Topical Questions
5 min read 9 parts Lesson 22 of 36 1 quiz
Lesson summary
2.6 Gravitational Force — AP PHYSICS 1 notes: Describe Newton's law of universal gravitation, the gravitational field, free fall, weight and apparent weight.Law — Fg = Gm1m2/r2G = 6.67 × 10-11 N m2 kg-2.r is the distance between the centers of mass.Inverse square law — doubling t…
- Attractive
- Field lines
- Radial field
- Uniform field
- Field strength
- Mass versus weight
Section 1 of 9Newton's law of gravitation
Law
- Fg = Gm1m2/r2
- G = 6.67 × 10-11 N m2 kg-2.
- r is the distance between the centers of mass.
Inverse square law
- Inverse square law doubling the distance divides the force by 4
Spheres
- Spheres a uniform sphere acts as a point mass at its center
Section 2 of 9Nature of gravitational force
Attractive
- Attractive always pulls masses together along the line joining their centers of mass
Range
- Range infinite
Orbits
- Orbits gravity provides the centripetal force for the Moon and satellites
Section 3 of 9Gravitational field
Field
- Field region where a mass experiences a gravitational force
Field lines
- Field lines show direction toward the center of the attracting mass; their density shows strength
Radial field
- Radial field non-uniform, strength depends on distance
Uniform field
- Uniform field near Earth's surface, g = 10 N kg-1
Section 4 of 9Field strength and free fall
Field strength
- Field strength g = Fg/m = GM/r2
Free fall
- Free fall a = g = 10 m s-2 independent of mass when air resistance is negligible
Section 5 of 9Weight
Weight
- Fg = mg, the gravitational force from a nearby astronomical body
Mass versus weight
- Mass versus weight mass is the same everywhere; weight depends on g
Section 6 of 9Apparent weight
Apparent weight
Apparent weight
- Apparent weight the magnitude of the normal force on the object
Elevator accelerating downward
- FN = mg − ma, so apparent weight is less
Elevator accelerating upward
- FN = mg + ma, so apparent weight is more
Section 7 of 9More from the specification
More from the specification
Buoyant force
- Upward force equal to the weight of displaced fluid.
Equivalence principle
- Acceleration and gravity are indistinguishable locally.
Constant
- Not changing.
System
- Objects analysed together.
Reference frame
- Coordinate system used by an observer.
Section 8 of 9Key terms
| Term | Meaning |
|---|---|
| Newton's law of gravitation | F = Gm1m2/r2. |
| Gravitational field strength | Force per unit mass, g = GM/r2. |
| Weight | Gravitational force on a mass. |
| Apparent weight | Normal force on an object. |
| Free fall | Motion under gravity alone. |
Section 9 of 9Exam technique
1
Using the surface-to-surface distance for r.
2
Forgetting to square r.
3
Equating weight and mass.
4
Saying gravity is zero for astronauts in orbit — they are in free fall.
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