Professor: Arpita Upadhyaya Physics 131

Transcription

1 Physics 131- Fundamentals of Physics for Biologists I Professor: Arpita Upadhyaya Energy Chemical bonding Intermolecular Interactions 1 Physics 131

2 Quiz Q A B C D 2

3 18 Q 1.2 Graph momentum 16 Same force, more time for puck II to 14 cross finish line but these are plots 12 vs. time, not position! 10 8 a 6 I = F/m a II = F/M 4 v I = Ft/m v II = Ft/M 2 mv I = Ft = Mv 0 A B C D E F G H N Graph F Mv II

4 Q 1.3 A B C D E F G H N Graph kinetic energy? Same momentum as a function of time means p I = p II so (p I ) 2 = (p II (p I ) 2 /2m m > (p II ) 2 /2M KE I > KE II Graph H II ) 2

5 60 50 Q A B C D E F 5

6 Q 3 A B C D 6

7 Foothold ideas: Kinetic Energy and Work Newton s laws tell us how velocity changes. The Work-Energy theorem tells us how speed (independent d of direction) changes. Kinetic energy = 1 mv 2 Work done by a force = (part of force parallel to displacement) Work-energy theorem: 2 F x x or F r ( 1 2 mv 2 ) F net r Physics 131 7

8 Foothold ideas: Potential Energy For some forces work only depends on the change in position. Then the work done can be written F r r U U is called a potential energy. For gravity, For a spring, U gravity = mgh U spring = ½ kx 2 For electric force, U electric = k C Q 1 Q 2 /r Physics 131 /r 12 8

9 Foothold ideas: Conservation of Mechanical Energy Mechanical energy The mechanical energy of a system of objects is conserved if resistive forces can be ignored. KE PE 0 Thermal energy KE initial PE initial KE final PE final Resistive forces transform coherent energy of motion (energy associated with a net momentum) into thermal energy (energy associated with internal chaotic motions and no net momentum) Physics 131 9

10 Energy skate park h t d / / l ti / kt k Physics

11 A bulldog on a skateboard is moving very slowly when he encounters a 2 m dip. How fast will be be going when he is at the bottom of the dip? The bulldog and skateboard combined have a mass of 20 kg. Fiti Friction and air drag can be ignored. 1. Very slowly 3. About 6 m/s 2. About 2 m/s 4. You can t tell from the information given. Physics 131

12 A bulldog on a skateboard is moving very slowly when he encounters a 2 m dip. The bulldog and skateboard combined have a mass of 20 kg. What is their total mechanical energy? 1. Almost zero 3. About 600 Joules 2. About 200 Joules 4. You can t tell from the information given. Physics 131

13 A bulldog on a skateboard is sitting at the bottom of a 2 m dip. How much KE do you have to give them so they will roll out of the dip? The bulldog and skateboard combined have a mass of 20 kg. Fiti Friction and air drag can be ignored. 1. None 3. About 600 Joules 2. About 400 Joules 4. You can t tell from the information given. Physics

14 Moving to molecules Apply our Newtonian framework and results to atoms and molecules. See what goes over directly, what we have to add. Can we integrate what we know about atoms and molecules from chemistry with the physics we have learned? Physics

15 Foothold ideas: Energies between charge clusters Atoms and molecules are made up of charges. The potential energy between two charges is elec kqq C 1 2 U12 r12 The potential energy between many charges is U elec N N kqq C i j r i j 1 ij Physics

16 What does the electric potential energy between two identical charges look like? Physics

17 What does the electric potential energy between two opposite charges look like? Physics

18 When a positive (test) charge is released from rest near a fixed positive ii (source) charge what happens to the electric potential energy of the test charge? 1. It will increase because the test charge will move towards the source charge. 2. It will decrease because the test charge will move away from the source charge. 3. It will increase because the test charge will move away from the source charge. 4. It will decrease because the test t charge will move towards the source charge. 5. It will remain constant because the test charge remains at rest. 6. There is not enough information to tell. Physics

19 When a negative (test) charge is released from rest near a fixed positive ii (source) charge what happens to the electric potential energy of the test charge? 1. It will increase because the test charge will move towards the source charge. 2. It will decrease because the test charge will move away from the source charge. 3. It will increase because the test charge will move away from the source charge. 4. It will decrease because the test t charge will move towards the source charge. 5. It will remain constant because the test charge remains at rest. 6. There is not enough information to tell. Physics

20 Foothold Ideas: Conservation of Mechanical Energy Total of fki kinetic plus potential ti energy are conserved if resistive forces can be ignored Mathematical Representation Graphical Representation 1 2 ( 2 mv ) U 1 2 ( 2 mv U ) 0 mv U mv U initial initial 2 final final

21 Foothold ideas: Forces from PE For conservative forces, PE can be defined by F r U If you know U,, the force can be obtained from it via In more than 1D need to use the gradient The force always points down the PE hill. 21

22 The figure below shows the interaction potential between two molecules (along a particular orientation of the two molecules). The units are in nm (r) and ev (U). When the molecules are separated by 7 nm the force between them is 1. Attractive 2. Repulsive 3. Zero 4. Cannot be determined from the figure. (nm)

23 The figure below shows the interaction potential between two molecules (along a particular orientation of the two molecules). The units are in nm (r) and ev (U). When the molecules are separated by 2 nm the force between them is 1. Attractive 2. Repulsive 3. Zero 4. Cannot be determined from the figure. (nm)

24 The figure below shows the interaction potential between two molecules (along a particular orientation of the two molecules). The units are in nm (r) and ev (U). When the molecules are separated by 0.5 nm the force between them is 1. Attractive 2. Repulsive 3. Zero 4. Cannot be determined from the figure. (nm)

25 Molecular forces Chemistry/activities/LondonDispersionForce/1.2-interactions- 0.html Physics