### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Introductory Physics Equation Sheet Phys 121

UW

GPA 3.7

### View Full Document

## 60

## 0

## Popular in Mechanics

## Popular in Physics 2

This 8 page Study Guide was uploaded by Abby Liu on Friday August 21, 2015. The Study Guide belongs to Phys 121 at University of Washington taught by Dr. Jim Reid in Fall 2015. Since its upload, it has received 60 views. For similar materials see Mechanics in Physics 2 at University of Washington.

## Popular in Physics 2

## Reviews for Introductory Physics Equation Sheet

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 08/21/15

One Dimensional Motion Chp 1 x0 vot 12 at2 y is displacement in the y direction vO at t is total time amp a is acceleration At g v is velocity At 13 11222an x is displacement in the x direction Vectors De nitions 0 09 O 09 06 06 O 09 O 0 Parallel vectors 2 displacement vectors that are in the same direction Antiparallel vectors 2 displacement xvectors that point in opposite directions ResultantVector Sum sum of 2 vectors Component component of a vector in a given direction is the projection of the vector onto an axis in that direction Unit Vector dimensionless vector with magnitude exactly equal to 1 Position Vectors always drawn from the origin to the particle Methods of Adding 2 Vectors O 09 Head to tail method and parallelogram method 3r IiliVquot f i37 9 quot ff wi Figure 116 llseaditatail method at vector adkzliitiun Future 1 PEEIIEIDQFEWI method and V fttw adkzliitiun Adding More Than 2 Vectors O 09 First add 2 vectors then add the 3rd vector to the resultant gt Order does not matter i p Figure 1 139r elar addition is associative Thai i5r i I i if Erquot c e Subtracting Vectors 0 To subtract vector B from vector A add the negative of B to A change the direction of B then use headtotail method Useful Vector Table Propertyr Explanation Fiure Component Representation Equality 13 if 13 and their if Ax El directions are titre seine 1quot E Bu 3 Addition 5 13 g CI 3111 B C A Blr CH B Negative E if and their Ar B I ot a vector directions are opposite A B39 B Subtraction E 13 Q Ax B 39 A C A B3 Ivliiiitipiication E a has magnitude BI sirTil by a scaiiar and has titre same direction as A B siri if s is positive or A it s is negative B 3A Dot Product 09 A BZABCOSG E Equot Axe HUB 11sz d at o A o a da A B B A 09 if it Projectile Motion Chp 3 d rt when velocity is constant x is position in x direction X0 is initial x y is position in y direction yO is initial t Vismze R is range g H 1 2 125311129 V0 is initial total velocity 22Sine T is total time of travel 8 vox 2 Va 6059 vy is velocity in y direction voy 2 v0 S1119 6 is angle to the ground When a ball is thrown there is no horizontal acceleration after release Hm is maximum height Rotational Motion If 9 1 radian 5730 then s r radianssecond rs is the unit of circular motion s is the arc length 9 W t 9V is angular velocity measured in rads 2 v a 39 39 39 acW2r c IS centripetal acceleration R a roc at is tangential acceleration 0 is angular acceleration measured in rad52 FE 5 is total acceleration z elmaim v is tangential speed FC w 2r FC centripetal force wwioct 12 9 I at W12 9 is angular displacment Dot Product Scalar CZA39BZA360s9 where 9 is the angle between A and B atis tangential acceleration requires change of rotational speed gt Cross product Vector Vz BXA t is time L27 L is angular momentum Friction and Forces Chp 4 5 F ma 1 k is coef cient of kinetic friction l1 s static szpkN Fk is kinetic friction N is normal force FSSJSN FS is static friction Fres kv Fres is force of resistance ma mg kat k is constant that depends on object a g shapesize and viscosity of uid Nsm 5 assuming a is m constant w mg w is weight seam ATf 39 p H Tb mb ab Wont A is net force of object N T is tension Fne m sin 9 k m cos 9 block m is mass It 9 g fis friction sliding down a ramp vi at mgk vt is terminal velocity Fh Ftcos 9 when force is applied Fh i5 horizor ta39 force Ft total force at an angle De nitions 0 Static Friction occurs when the surfaces do not move relative to each other gt Le pushing on a heavy box that is not moving 0 Kinetic Friction occurs when the surfaces are moving relative to each other gt Le pushing on a box that is moving but is resisting because of kinetic friction Explanations 0 The static friction equation is FsSJsN because it depends on the amount of force being applied on the object gt It reaches sN just before the surfaces start to move In all other cases Fs will be a smaller force Work and Energy Chp 7 AWZFIIdZFdCOSG AW is Worknot weight F is force exerted 2 distance d 9139s the angle between d F PZAWAt Fv only if constant force in P is Power visspeed direction of motion Emech mgh 12 mv2 mgH E is energy A W Fd force must be in the direction of movement H is maximum height Equilibriums Stable equilibrium a small displacement results in a restoring force that accelerates the particle back toward its equilibrium position Unstable equilibrium a small displacement results in a force that accelerates the particle away from its equilibrium position Neutral equilibrium there is no resulting force if the particle is displaced Impulse and Momentum Chp iz A V 17 AP I is Impulse E is average Force f l 132m p is momentum F onA F W v IS veIOCIty m1x1m2x2 xCm is center of mass where x1 is location 039 x cm m1m2 if objects are located at x1 and x2 and only for one dimensional motion the rst object and x2 is location of the second object Elastic collision Kf K pf pi Kf is nal Kinetic energy Inelastic collision Kf lt K K is initial Kinetic energy Totally inelastic collision Ki Kf is maximum loss pf piwhere pf is O 5Af9 va Q4 Am lt mass is not is constant ie rocket s fue t A A 1 z decreasing Ireaction 39V lanetOthen A13 0 Solar System and Gravitation Chp 11 V 739 V FZGmlmz G is a universal Gravitational Constant 2 r 667X1011 NM2kgz IpZmR2 is distance between m1 and m2 3 I I 2 R IS proportionalto T 1p is moment of inertia of any planet with mass m R is distance from the Sun Ms is mass of Sun GMm PE of object gt Earth APE lost PE converted to KE T is orbital period M is mass of Earth Kepler s 3 Laws of Planetary Motion The orbits of the planets are ellipses with the Sun at one focus of the ellipse The areas swept out in unit time by the radius vectors of the planets are a constant of the motion The cubes of the planets average distances from the Sun are proportional to the squares of their orbital periods R3Pr0p0rti0nal T2 States of Matter Liquids Chp 11 MpV M is total mass p is always density Increase in pressure relative to the surface APngh h is depth of the part of the object submerged AWfLFl L is height you push through I is height the large piston rises lf mass of water displaced gt mass of M Fig 5 A 2 1 g Buoyancy PthPVg A is surface area V is volume of submerged item object then the object oats and vice versa Rate of Flowhaha that s what she said srsly gonna leave it here A is the cross sectional area L is given length that passes a point in time t If height of uid changes KALAv t t 1 2 v is speed of uid mv KE per unit volume 2 2119 V 2 PEZPgAh M is obviously the height change stupid

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.