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# Study Guide Exam 1 PHY 302K

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This 7 page Study Guide was uploaded by Juan Urquilla on Sunday October 2, 2016. The Study Guide belongs to PHY 302K at University of Texas at Austin taught by Dr. Markert in Fall 2016. Since its upload, it has received 2 views.

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Date Created: 10/02/16

PHY 302K Exam 1 Review https://www.youtube.com/watch?v=rZo8-ihCA9E Cheat sheet: 1.0 m/s = 2.2 mph Important equations: Velocity =∆???? (m/s) ∆???? ∆???? Acceleration = (m/s ) ∆???? One-dimensional motion with constant acceleration Describe motion of object with constant acceleration: v=v 0at ∆x =v0t + at2 2 Chapter 1 Basic measurements Quality Units Symbols Lengths Meters [m] Time Second [s] Mass Kilograms [kg] Chapter 2 One Dimensional Motion Motion in a straight line Involves displacement, velocity and acceleration In physics use an x-y coordinate grid to help with calculations Dynamics – study of motion and of physical concepts (force and mass) Kinematics – part of dynamics that describes motion without regard to cause. Velocity and Acceleration are vectors ! Vectors Have a magnitude and a direction Scalar Only has magnitude Displacement (∆x) SI unit : m (meters) defined as its change in position. Velocity =∆???? (m/s) ∆???? ∆???? Acceleration = (m/s ) ∆???? Velocity Two kinds of velocity Average velocity – as a whole Instantaneous velocity – velocity at a particular moment Slope = instantaneous velocity Smaller displacement and smaller time interval help to zero in on instantaneous velocity Example: Acceleration Change of an objects velocity with time Instantaneous acceleration = slope of tangent of velocity vs time graph smaller velocity and smaller time allow to zero in on instantaneous acceleration Motion Diagrams Representation of moving object at successive time intervals Dots further apart have a higher constant velocity Free Fall 2 Object falling on earth experience free fall acceleration of g=9.8m/s which is constant. Chapter 3 Motion in one direction/vectors and Two-Dimensional motion Adding vectors give net displacement ? Vectors represent a scalar and magnitude quantity If vectors is negative than it is flipped as shown below Vectors can be thought of existing in an x and y coordinate grid. The majority of problems require the addition of vectors. X components add with other x, and y components add with y. Ex : A = -2,2 B = 5,4 C = -4,-3 D = -3,-5 E = 4,-1 Since D and E are negative in the equation all their values are flipped and the resulting corddinates after all added is the new R vector location. Displacement, Velocity and Acceleration Two dimension Vector (acceleration/velocity) can no longer be though of as positive or negative. Must use vectors in two dimensions In order to find the displacement the formula ∆r = r -r f i MOTION IN TWO DIMENSIONS Case of two dimensional motion is projectile motion. Ex: Throwing a grenade Horizontal and vertical motions are independent of each other. To find properties in the x-direction, these equations are used. V =v + a t x 0 x ∆x =v t0+1/2 a t x 2 2 2 V x v 0x + 2a xx Similar formulas are used in the y direction V yv +0a t y 2 ∆y =v 0 +1/2 a t y 2 2 V y v 0y + 2a yx The speed of the object can be calculated by using Pythagorean theorem Chapter 4: The laws of Motion st Newtons 1 law: force must be applied to object to change velocity nd Newtons 2 law: net force is equal to mass times acceleration ( F= m*a) mass and acceleration inversely related ( m: up, a: down) vice versa 2 Newton is equal to 1 N = 1kg 8 m/s rd Newton 3 law: for every force there is a reaction force that is equal in size.

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