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1 Announcements FINAL EXAM n PHYS : Wednesday, 8-9:50 am n PHYS : Monday, 10-11:50 am NO New Homework! CQ6: 10 m/s : a) 3.0 x kg b) 0.89 m/s : 1.5 x 10 4 m 13.22: a) 1.1 x 10 4 m/s b) 8.5 x 10 3 m/s 13.28: : 3.70 x 10 3 m/s Office hours F m Tutorial Learning Center Houston Hall 113. M 8-10:30 am, 11-2 m, 3-6 m TW 8-6 m F 8-5 m R 9-11 am, 1-6 m SU 1-6 m

2 Outline Chater 1 Concets of Motion & Chater 2 Kinematics in 1D Units and Significant Figures Motion Diagrams Models and Modeling Position, Time, and Dislacement Velocity Uniform Motion Instantaneous Velocity Linear Acceleration Motion with Constant Acceleration Motion in 1D Free Fall Motion on an Inclined Plane Chater 3 - Vectors and Coordinate Systems Scalars and Vectors Using Vectors Coordinate Systems and Vector Comonents Unit Vectors and Vector Algebra Chater 4 Kinematics in 2D Motion in Two Dimensions Projectile Motion Uniform Circular Motion Centrietal Acceleration

3 Outline Chater 5 Force & Motion Force A Short Catalog of Forces Identifying Forces What do Forces do? Newton s 2 nd Law Newton s 1 st Law Free-Body Diagrams Chater 6 Dynamics I: Motion along a Line The Equilibrium Model Using Newton s 2 nd Law Mass, Weight, and Gravity Friction More Examles of Newton s 2 nd Law Chater 7 Newton s 3 rd Law Interacting Objects Analyzing Interacting Objects Newton s 3 rd Law Roes and Pulleys Examles of Interacting-Objects Problems Chater 8 Dynamics II: Motion in a Plane Dynamics in 2D Uniform Circular Motion Circular Orbits Reasoning about Circular Motion

4 Outline Chater 9 - Work and Kinetic Energy Energy Overview Work and Kinetic Energy for a Single Particle Calculating the Work Done Restoring Forces and the Work Done by a Sring Dissiative Forces and Thermal Energy Power Chater 10 Interactions & Potential Energy Potential Energy Gravitational Potential Energy Elastic Potential Energy Conservation of Energy Energy Diagrams Force and Potential Energy Conservative and Nonconservative Forces The Energy Princile Revisited Chater 11 - Imulse and Momentum Momentum and Imulse Conservation of Momentum Collisions Exlosions

5 Outline Chater 12 Rotations of a Rigid Body Rotational Motion Rotation About the Center of Mass Rotational Energy Calculating Moment of Inertia Torque Rotational Dynamics Rotation About a Fixed Axis Static Equilibrium Rolling Motion The Vector Descrition of Rotational Motion Angular Momentum Chater 13 Newton s Theory of Gravity A Little History Isaac Newton Newton s Law of Gravity Little g and Big G Gravitational Potential Energy Satellite Orbits and Energies

6 Q1 An object is thrown vertically into the air. Which of the following five grahs reresents the velocity, v, of the object as a function of the time, t? v v v 1. I t t t 2. II 3. III 4. IV v v 5. V t t

7 Q2 Two bodies are falling with negligible air resistance, side by side, above a horizontal lane. If one of the bodies is given an additional horizontal acceleration during its descent, it: 1. strikes the lane at the same time as the other body 2. has the vertical comonent of its velocity altered 3. has the vertical comonent of its acceleration altered 4. follows a hyerbolic ath 5. follows a straight line ath along the resultant acceleration vector

8 Q3 The force of gravity on an object on the moon is one-sixth the force of gravity on the earth. The ratio of the kinetic energy of the body on the earth moving with seed v to that of the same body moving with seed v on the moon is: 1. 6: :1 3. 1:1 4. 1:6 5. 1:36

9 Q4 The string in the figure is 50 cm long. When the ball is released from rest, it will swing along the arc shown. How fast, in m/s, will it be going at the lowest oint in its swing? cm m v m

10 Q5 The figure below shows 3 different ossible axes of rotation for a solid cylinder. Which of the following statements is true? I 1 >I 2 >I 3 2. I 3 >I 2 >I 1 3. I 2 >I 3 >I 1 4. I 1 =I 2 =I 3 5. none of the above

11 Q6 Automobile manufacturers design crumle zones in cars to reduce the force exerienced during a collision. Crumle zones work by 1. decreasing the change in momentum during the collision 2. increasing the force exerted on the other car during the collision 3. decreasing the duration of the collision 4. decreasing the imulse during the collision 5. none of these

12 Q7 If a wheel turns with constant angular seed then: 1. Each oint on its rim moves with constant velocity 2. Each oint on its rim moves with constant acceleration 3. The wheel turns through equal angles in equal times 4. The angle through which the wheel turns in each second increases as time goes on 5. The angle through which the wheel turns in each second decreases as time goes on

13 Q8 A 100 N force is alied to a wheel in four different ways as shown. Rank the resulting angular seed of the wheel after 10 seconds from least-to-greatest. 1. A, B, C, D 2. C and D tie, then A, B 3. C and D tie, then B, A 4. A, B, then C and D tie 5. All are the same

14 Q9 Mars has about 1/10 the mass of Earth, and 1/2 the diameter. The acceleration of gravity near the surface of Mars is about: m/s m/s m/s m/s 2 5. None of these

15 Q10 A force F is alied to a dumbbell for a time interval Dt, first as in (a) and then as in (b). In which case does the dumbbell acquire the greater center-of-mass seed? 1. (a) 2. (b) 3. no difference 4. The answer deends on the rotational inertia of the dumbbell

16 Q11 A force F is alied to a dumbbell for a time interval Dt, first as in (a) and then as in (b). In which case does the dumbbell acquire the greater energy? 1. (a) 2. (b) 3. no difference 4. The answer deends on the rotational inertia of the dumbbell

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