Physics 1710 Unit 1—Review Review Activity (neuron reconnection time): In your notes (without consulting other pages) write down Three kinematic equations for uniform acceleration: • v = vinitial + a t • r = rinitial + vintitial t + ½ a t 2 • vx 2 = v x,initial 2+ 2 ax Δx vy 2 = v y,initial 2+ 2 ay Δy Physics 1710 Unit 1—Review 1′ Lecture • Newton’s Laws of Motion are: Acceleration (or deceleration) occurs if and only if there is a net external force. a = F/m [Note this is a vector eqn.] The force exerted by a first object on a second is always equal and opposite the the force exerted by the second on the first. F12 = - F21 Physics 1710 Unit 1—Review 3rd Law in Action—Tug of War #2 F21 ? It’s the Law! F12 = - F21 #1 F12 Physics 1710 Unit 1—Review Third Law of Motion: If two objects interact, the force of the 1st on the 2nd is equal and opposite to the force of the 2nd acting on the 1st body. F12 = - F21 F12 #2 #1 F21 Physics 1710 Unit 1—Review 2nd Law of Motion: Example Broken Atwood Machine Friction - μ g (m2 +m1) F = g (m2 – m1) – μ g (m2 +m1), if m2 > m1 a = F/(m2 +m1) a = g(m2 – m1)/(m2 +m1) -μg a a g m1 g m2 Physics 1710 Unit 1—Review Laws of Motion 1st Law: An acceleration is caused by a net external force. Draw Free Body diagram! Physics 1710 Unit 1—Review Laws of Motion 1st Law: An acceleration is caused by a net external force. Draw Free Body diagram! ½ D ρA v 2 - mg Physics 1710 Unit 1—Review Laws of Motion in Action: Sledding on a Hill Draw “free body diagram” F = mg sin Θ Ff = μN N = mg cos Θ mg Θ ΣF = ma = F – Ff = mg sin Θ – μ mg cos Θ Physics 1710 Unit 1—Review • What will make the biggest difference in winning a sledding race? 1. The mass of the sledder. 2. The weight of the sled. 3. The friction of the sled skids or runners. 4. The slope of the hill. Physics 1710 — e-Quiz I think that the use of the Response Card system contributes to the quality of my instruction in this course. 1. 2. 3. 4. Strongly agree. 20% Agree. Disagree. 25% Strongly disagree 12% 43% 1 2 3 4 Physics 1710 Unit 1—Review Summary: • Newton’s Laws of Motion are: (1) Acceleration (or deceleration) occurs if and only if there is a net external force. (2) a = F/m [Note this is a vector eqn.] (3) The force exerted by a first object on a second is always equal and opposite the the force exerted by the second on the first. F12 = - F21 Physics 1710 Unit 1—Review Summary (cont’d.) : • Weight is the force of gravity equal to g times the mass of the object. • g =9.80 N/kg • Ff = μ N • Free body diagrams are sketches of all the forces acting on a body. Physics 1710 Unit 1—Review Summary (cont’d.) : • In a moving or accelerating Frame of Reference • v ′ = v – vframe of reference • a ′ = a – aframe of reference • The Centripetal acceleration is • a = - ω2 r or |a| = v 2/ |r|, toward the center. Physics 1710 Unit 1—Review Summary (cont’d.) : • v = vinitial + a t • r = rinitial + vintitial t + ½ a t 2 • vx 2 = v x,initial 2+ 2 ax Δx vy 2 = v y,initial 2+ 2 ay Δy • Mass density ρ = M/V