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Physics 151 Week 4 Notes

by: Lindsey Notetaker

Physics 151 Week 4 Notes PHYS151

Marketplace > University of Nevada - Las Vegas > Physics > PHYS151 > Physics 151 Week 4 Notes
Lindsey Notetaker

GPA 3.585

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About this Document

These are notes that include lecture notes, textbook notes, and vocabulary words that go along with the chapter. There are equations in words that we need to know
General Physics I
Dr. Pang
Class Notes
Physics, General Physics, dynamics
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This 4 page Class Notes was uploaded by Lindsey Notetaker on Saturday September 24, 2016. The Class Notes belongs to PHYS151 at University of Nevada - Las Vegas taught by Dr. Pang in Fall 2016. Since its upload, it has received 24 views. For similar materials see General Physics I in Physics at University of Nevada - Las Vegas.


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Date Created: 09/24/16
General Physics 151. Week 4 Notes (September 19, 2016) Chapter 4: Dynamics of a Particle  Key to my notes: all notes that are taken from the lecture will be the first section, notes I take  from the textbook will be the second section, and the vocabulary words from the chapter with  definitions will be the last sections! (:  Lecture Notes Point particle vs. extended objects If center of weight is all on one side, it is dangerous  A point particle description of an object is valid if the size of the object is much smaller  than the length scale of the dynamics involved, or ever point on the object behaves the  same  Equivalent between one dimensional and tangential motion  o Force of x=mass X acceleration of x o Force of t= mass X acceleration of t o Acceleration of t=limit as change in t reaches 0 in the change of speed of  object/change in time  Uniform circle means the speed is constant  Velocity is the tangential line of curve  If speed is constant on a circle then velocity is found by (circumference [2*pi*r])/(period  [T]) Velocity is not constant neither is acceleration=0 because it is changing direction  The centripetal force is provided by static friction with o Centripetal force = mass X acceleration of centripetal =(mass X velocity  squared)/radius = static friction   What is most effective to increase safety on the road? o Reducing speed of car  o Improving friction coefficient  o Increasing the radius of the turn  Centripetal force =(normal force X sine of theta) +/­ (static/kinetic friction X cosine  theta) o If car is not sliding the normal force can be obtained by (normal force X cosine  theta) = (mass X gravity) +/­ (static friction X sine of theta)  If the circle is not uniform then you can fine the acceleration of the centripetal force by  (velocity squared)/(radius)  Kepler’s law of planetary motion is NOT a fundamental law  o Elliptic orbits with the sun at a focal point  o Equal areas over the elapsed time  o Period squared is similar to radius cubed  Fictitious force equals negative mass X inertial acceleration Centrifugal force equals mass X  (velocity squared/radius )  o This is for a uniform rotating reference frame  Page 1 of 4 General Physics 151. Week 4 Notes (September 19, 2016) o If made to be the same weight on earth the equation is mass X gravity  The thrust on the rocket from burning fuel is found by mass X (the limit of time as it  approaches zero of the [change in velocity]/[change in time]) o Velocity equals u X ln(mass initial/mass overall) – gravity  High speed limits is found by (c/2)pAV^2 o C depends on the medium o P is the density of the medium o A and v are the cross sectional area of the object Low speed limits is found by bv o B for a square is 6piRn  R is the radius   N is the coefficient of viscosity of medium  o V is velocity  Textbook Notes  Even big objects can be looked at as a point if the all other points move in the exact same  way  If a point is moving in one direction, its equation is force in the x direction = mass X  acceleration of x  If the object has a curve then you take the tangent line at the curve and find the force of  the tangential line and treat it as a one dimension problem  o To find the acceleration of the line, you take the limit as the tangent line nears 0  and find (change in velocity)/(change in time)   A uniform circle means that the speed of the circle does NOT change  o For a uniform circle the velocity can be found by (2 *pi*radius)/period  Friction can either be static or kinetic, going down (plus sign) or going up (minus sign).  If the object is not sliding when it is going in a circle then the normal force is (normal  force X cosine theta) = mass X gravity +/­ (static friction X sine theta)  If the circle is not uniform then you can solve centripetal force by o Force of centripetal = tension +/­ (mass X gravity X sine theta)   Can also be written (mass X velocity squared)/ radius   air resistance is always against the tangential acceleration o this causes the object to decrease    you can always find an equivalent circle for any point on the path o If the point is curve then for each curve, you can make it part of a circle to find  the distance or velocity   The dynamics of a planet is therefore dictated by the gravitational attraction between two  point particles Page 2 of 4 General Physics 151. Week 4 Notes (September 19, 2016) o Force = (Gravitational constant)X[(mass of sun X mass of planet)/(distance  between the planet and the solar center)]  For a rocket in space where gravity does not affect it, the speed­mass ration is: o Velocity= (initial speed ) + [(rate of burning the fuel) X (natural log of ((final  mass of rocket)/(initial mass of rocket))]  For a rocket in space where gravity does affect it, the speed­mass ration is: o [(rate of burning the fuel) X (natural log of ((final mass of rocket)/(initial mass of  rocket))] – (gravity X change in time)  For a rocket in space where air resistance does affect it, the speed­mass ration is: o (drag coefficient of air resistance/2) X (density of air) X (cross­sectional area of  the rocket) X (speed squared)  When an object is falling at very high speeds you find the speed by using: o (mass X gravity) ­ (drag coefficient of air resistance/2) X (density of air) X  (cross­sectional area of the rocket) X (speed squared)  When an object is falling at low speeds you find the speed by using:  o [6 X pi X (radius of the sphere) X (coefficient of viscosity of the fluid)] X  velocity   Vocabulary Words Note: These are in order as they showed up in the chapter, not in alphabetical      Center of Mass: the geometric mean center of the mass distribution of an extended  system, known as the  Centripetal Direction: the change of motion along the tangential direction and the  change of motion in the direction perpendicular to the tangential, toward the center of  curvature  Kepler’s First Law: states that all the orbits of the planets are elliptic with the sun at a  focal point of the ellipses  Kepler’s Second Law: states that for a given planet, the area swept by its radius from the sun is the same for any equal elapsed time  Kepler’s Third Law: states that square of the period of a planet is proportional to the  cube of its mean distance from the sun  Fictitious Force: a fake force that is felt when comparing to a noninertial reference  frame Page 3 of 4 General Physics 151. Week 4 Notes (September 19, 2016)     Apparent Weight: when an object experiences a greater normal force than normal and it  affects what their weight reads  Page 4 of4


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