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# Physics I PHYS 150

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This 2 page Class Notes was uploaded by Madyson Sporer on Monday October 5, 2015. The Class Notes belongs to PHYS 150 at Christian Brothers University taught by Staff in Fall. Since its upload, it has received 14 views. For similar materials see /class/219458/phys-150-christian-brothers-university in Physics 2 at Christian Brothers University.

## Reviews for Physics I

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Date Created: 10/05/15

Review of PHYS 150 Physics I The world is 3D Some quantities can be expressed as a simple quantity and these are called scalars Other quantities include not only a magnitude but also a direction and these are called vectors We can add vectors nicely in rectangular form xyz We can express vectors nicely in spherical form r 9 1 If we only need 2 dimensions the spherical reduces to polar r9 For motion we have two basic de nitions v dxdt and a dvdt If we are working in more than one dimension then we must work in rectangular form vx dxdt vy dydt If the acceleration in any rectangular component is constant then these de nitions lead directly by integration to v v0 at and x x0 vat 12 at2 For lmiform circular motion these de nitions lead directly by differentiation to v or and a cozr We also add in a 21tf and f1T To relate force to motion we have Newton s Second Law 2F ma where this equation is valid for each of the rectangular components In Physics I we considered several forces Newton s Law of Gravity F g GMmr2 acting towards the center of the other mass Contact force Fc which balances forces to keep them from breaking the object and this force always acts perpendicular to the surface Sometimes this contact force is called the Normal Force since it acts perpendicular normal to the surface Friction force Ff which balances up to a point and beyond that point is constant and equal to HR The friction force acts parallel to the surface Spring Force FS kxx0 Newton39s Third Law states that for every action there is an equal and opposite reaction I like to restate this law as quotYou can39t push yourself You can only push other objects and hope that they push backquot This is important in determining whether forces are ON objects or are BY objects Only forces ON objects are included in Newton s Second Law 2F ma In principle Newton s Laws predict everything In practice it is often hard to actually solve the equations because they are differential equations that is the F s are functions of x v which is dxdt and t and are related to mass times acceleration which is dzxdtz To solve some problems we employ the concept of Work lFds By considering each force we can usually come up with a potential energy for that force and by considering the ma term in Newton s Second Law we can come up with the Kinetic Energy The Law of Conservation of Energy makes this useful EEi 2E Kinetic Energy is KE 12 mvz Gravitational potential energy near the earth s surface is PEIg mgh and more generally PEIg GMmr Spring potential energy 12 kxx2 Power is de ned to be the rate at which we use energy P dEdt Fv Momentum is p mv and it is useful in considering collisions and explosions By working with Newton s Second Law and Third Law we get the Conservation of Momentum 2p 2p We also considered rotations and found that there are analogous laws and equations for rotations as there are for regular motion 03 dGdt Gust like v dxdt K13rot 121032 Gust like KE 12 mVZ 0c doadt just like a dVdt L 103 just like p mV 239 lot just like 2F ma Homework Problems Problem 1 Do the computer homework program Motion Graphs on Vol 1 Your best score counts In this case you do not have to worry about limiting cases or approximate numerical solutions Problem 2 Do the computer homework program Gravitational De ection Trajectories on Vol 1 Your best score counts In this case you do not have to worry about limiting cases or approximate numerical solutions Problem 3 Do the computer homework program Newton39s 2nd Law on Vol 1 Your best score counts In this case you do not have to worry about limiting cases or approximate numerical solutions

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