PHYSICS AP REVIEW

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physics c mechanics all the stuff I waited till the day before the exam to look over

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26 Terms

1
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little g equation

Gm/r2

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vorbital

√Gm/r

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Torque equations

T= rfsin∅

T= Iα

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acceleration/ velocity in terms of angular velocity and acceleration

a= rα

v= rω

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oscillations

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centripetal force

at top of a loop ∑F= Fc-mg (both working down)

at bottom of a loop ∑F= Fc+mg (working against each other)

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work equation

Fdcos∅

∫F dt

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keepler’s law

T2=ka3

2a=peri+aphelion

T= period of orbit

k= constant

a= axis of orbit (au)

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Vof a sphere

4/3 πr3

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elastic collision

  • p and energy conserved

break apart

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inelastic collision

  • p conserved

  • energy not conserved

stick together

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Inertial parallel theorem

Iii=Icm+md2

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acceleration (oscillations)

a=Aω2

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glancing collision

  • momentum conserved

  • energy may or may not be conserved

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relative velocity

Vba=Vb-Va

  • velocity of b with respect to a

relative velocity= V moving- Vreference

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units for spring constant

k= newton- meters

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elliptical orbit

USE CONSERVATION OF ANGULAR MOMENTUM!!!!

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velocity/ angular velocity

v=rω

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tension/forces

  • set up system of equations

  • ∑F=ma

  • for one T-mg=ma and the other mg-T=ma

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work for a circle

0- no work done

or any time its moving in uniform motion (no acceleration so no force)

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area under the curve of a force graph

work done by the force

impluse

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on a slope

friction use mgsin∅

weight use mgcos∅

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torque of a ladder/ person problem

  1. set torque to zero

  2. rFsin∅

  3. force of friction acting between the ground and ladder is equal to the normal force between the wall and ladder (bc F=ma and ma=0)

  4. F=mg of the person and the center of mass of the ladder

  5. the angle is either cos(angle between ground and ladder)

    • or sin(angle between ladder and wall)

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moment of inertia betwen the x and y

I=∑mr2

  • center: you find the hypotenoous of both triangles (using pythag)

  • then plug that in for the r values and add up

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what happens when spring is cut in half?

K doubles

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angular momentum (CONSERVATION OF ANGULAR MOMENTUM)

  1. L= mvr and Iω

  2. use mvr when something moving straight, use Iω when its rotating