Physics 2130 Study Guide 2
Physics 2130 Study Guide 2 PHYS 2130-005
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This 11 page Study Guide was uploaded by Erika Scholl on Friday October 14, 2016. The Study Guide belongs to PHYS 2130-005 at University of Toledo taught by Kathy Jean Shan in Winter 2016. Since its upload, it has received 16 views. For similar materials see Physics-Sci & Eng Majors I-L2 in Physics at University of Toledo.
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Date Created: 10/14/16
PHYSICS 2130 STUDY GUIDE Vector has a direction (+ or ) Displacement is represented by x Velocity and acceleration has direction. Speed and distance do not have direction. Instant velocity is the slope of the tangent line. Acceleration: If V and A are both + or , it is speeding up!! If they are opposite, it is slowing down! Equations: x(t) = x˳ + v˳t + 1/2a(t^2) v(t) = v˳ + at v^2 = v˳^2 + 2ax y y˳ = v˳y(t) + ½ay(t^2) Acceleration has nothing to do with the path it’s on. Acceleration in the Y direction is gravity (9.8m/s^2). Unit vectors have a magnitude of 1. i j k are vectors for x y z. ax = a cosϴ ay = a sinϴ a is the magnitude ϴ is the angle, ccw is positive, cw is negative. Cross product: A x B = ABsinϴ r is a position vector. r = xi + yj + zk velocity = dr/dt = (dx/dt)i + (dx/dt)j + (dx/dt)k Reference frames: Xpa = Xpb + Xba Ypa = Ypb +Yba Rpa = Rpb + Rba Vpa = Vpb + Vba PROJECTILE MOTION: is two dimensional motion. Ignore air resistance. If it is symmetric, the time up = time down. ay = 9.8 m/s^2 ax = 0 at h, velocity is 0. Acceleration is not 0! GRAPHS: Classical mechanics: relationship between the motion of objects and the forces acting on them. Force: vector: interaction between objects. Newton’s 1 law: If no net force acts on a body, then the body’s velocity and acceleration cannot change. Fnet = F1 + F2 ………Fn. Inertia: tendency of an object to continue its original motion. Newton’s 2 law: Fnet = m*a Fnet = mass*acceleration Force: Newtons (N). Tension: Rope being tugged on has a force being pulled away from it. Spring force: Hookes Law: Fs = ks rd Newton’s 3 law: for every reaction there is an equal and opposite reaction. FREE BODY DIAGRAMS: Friction: resistance between objects. (Fs) Static friction: not moving Kinetic friction: moving Elastic behavior: all solid objects are deformable they bounce back. Stress: force per area causing deformation. Strain: measure amount of deformation. Elastic modulus: constant of proportionality between stress and strain. Bulk modulus: volume stress. P P = B*V/V Energy can be transferred. Kinetic energy: Ke: Ke = ½ mv^2 joules (J) Potential energy: Pe or U: position: stored energy. Work: energy added or removed from a system by a force. Conservative forces: does not depend on the path, only displacement. Pe or spring. Nonconservative forces: work done depends on the path. Net work: Wnet = K Fnet*x = 1/2mvf^2 – ½ mvi^2 Wnet is positive then speed will increase. Change in potential energy: U = -w (work) Uf = -wf (change in potential energy = - final work) Power: (P) rate at which work is done (watts) w. P = w/t P = dw/dt = Fcosϴ dx /dt = Fcosϴ dx P = F * V Work and potential Energy: Uy = -w*g = mgy Spring force: F = -ks U = kx/2 Stretched out spring: Us = ½ kx^2 = ½ k(0)^2 Fx = -du*(x) /dx Mechanical Energy Emechanical = k + v = 0 k = Wtotal = Wgrav + Wspring + Wnormal Sooooooooooooooooo………………………… E = Wnormal Thermal Energy: E thermal = f*k*d Conservation of Energy W = E = Emech + Ethermal Center of mass: Point that moves as if all the mass were concentrated there and all external forces are applied there. Solid objects: 1/m x dm Linear momemtum: is a vector: P: P = mass*velocity: kg*m/s Fnet= dp/dt Impulse: J: J = Ft = p Conservation of linear momentum: Fnet,external= 0. dp/dt = fnet = 0 when p is constant. -FBA = FAB PA + PB = 0 Concervation of momentum: If they are elastic If they stick together (completely inelastic) Elastic: no lost kinetic energy Inelastic: if kineti energy is lost After they collide: V1f = ((m1-m2)/(m1+m2))(v1i) +((2m2)/(m1+m2))(v2i)
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