Circular Motion, Gravitation, Kepler’s 3d Law, Orbits Variables, Equations, and Constants.

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Circular Motion, Gravitation, Kepler’s 3d Law, Orbits Variables, Equations, and Constants

Variables

Variables (units) a c (m/s 2 ) centripetal acceleration

Variables (Units) T (s) Period time of one complete rotation or revolution

Variables (units) r (m) Radius of Orbit

Variables (units) v (m/s) speed of orbit orbital velocity

Variables (units) F G (N) Force of gravitational attraction

Equations

Centripetal Accleration

Centripetal Acceleration

Kepler’s 3d law

Universal Law of Gravitation

Period of Orbiting Body

Speed of an Orbiting Body

Constants

Definition of the Astronomical Units (AU)

Universal Gravitational Constant

Chapter 9 Impulse and Momentum

Definitions impulse (J)—a force exerted over an interval of time. Impulse is measured in Ns.

Definitions momentum (p)—the product of mass and velocity. Momentum is measured in kgm/s.

Relationship between impulse (J) and momentum (p) Slide 1 of 3 Equation/OperationMeaning Newton’s second law of motion Definition of acceleration Multiplication Definition of Δv Distributive Property

Relationship between impusle (J) and momentum (p) Slide 2 of 3 Equation/OperationMeaning Definition of Momentum Definition of delta Definition of impulse Relationship between impulse and momentum

Relationship between impulse (J) and momentum (p) Slide 3 of 3 This equation says that an impulse causes a change in momentum. Or in other words, a push acting for a certain time changes an object’s motion.

Examples

Show that a Ns is the same as a kgm/s.

Examples 1.Calculate the momentum of 0.50 kg ball rolling at 12 m/s. 2.Calculate the momentum of a 1300 kg car travelling at 72 km/h. 3.Calculate the momentum of a 45 g bullet travelling at 400 m/s. 4.The momentum of a person walking at 0.8 m/s is 96 kgm/s. a.What is the person’s mass? b.What is the person’s weight in N c.What is the person’s weight in lbs?

Examples 1.Calculate the momentum of 0.50 kg ball rolling at 12 m/s. P = mv P = 6 kgm/s

Examples 2.Calculate the momentum of a 1300 kg car travelling at 72 km/h. P = mv P = 2.6 E4 kgm/s

Examples 3.Calculate the momentum of a 45 g bullet travelling at 400 m/s. P = mv P = 18 kgm/s

Examples 4.The momentum of a person walking at 0.8 m/s is 72 kgm/s. a.What is the person’s mass? b.What is the person’s weight in N? c.What is the person’s weight in lbs? p = mv m=p/v m=90 kg W = 882 N W= 200 lbs.