Chapter study guide

In the Solar System, the Milky Way Galaxy, and throughout the universe, most objects don’t travel in straight lines; they move in circular or elliptical orbits around a more massive object. Circular motion describes not only how satellites orbit the Earth but how wheels roll and what forces you feel when riding on a rotating amusement park ride. When an object moves in a circle, its velocity constantly changes direction. In order to change an object’s velocity, something else has to apply a force. That centripetal force always points toward the center of the circle, which is why the force due to the Sun’s gravity keeps the planets moving in near circles around it.


By the end of this chapter you should be able to
draw vectors of velocity, acceleration, and force for circular motion;
calculate angular velocity and centripetal acceleration and force;
draw free-body diagrams for circular motion problems;
describe the historical development of the concept of the gravitational force;
calculate gravitational force and describe how it depends on mass and distance; and
describe properties of planetary orbits and summarize Kepler’s laws.


7A: Circular motion
7B: Orbits
7C: Extrasolar planets


206Circular motion
207Rolling
2087A: Circular motion
209Centripetal acceleration and force
210Centrifugal “force”
211Problems involving centripetal force and acceleration
212Section 1 review
213Gravitation and orbits
214Law of universal gravitation
215Orbits and satellites
216The orbit equation
2177B: Orbits
218Satellite orbits
2197C: Extrasolar planets
220Kepler’s laws and the birth of modern science
221General relativity
222Curved spacetime
223Black holes
224Exploring Mars
225Human travel to Mars
226Section 2 review
227Chapter review
ω= Δθ Δt
v=ωr
ac=vt2r
F c = m v t 2 r
F=G m 1 m 2 r 2
R= Gm v 2 v= Gm R
 
angular velocityradian (rad)centripetal force
centripetal accelerationlaw of universal gravitationsatellite
orbitorbital periodescape velocity
black hole

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