Quarknet - Motion

Tubbs and Hoffman

WElcome to QUarknet!!

Review necessary physics concepts to understand high energy particle physics

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Why would particle physicists be concerned with the motion of objects?

Describe the motion of the ball

Relationships between time vs position, velocity, and acceleration

Position - Where the object is in respect to time�𝚫x =v_0xt + at^{2 �}𝚫y =v_0yt + at²

Velocity - speed and direction of an object

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Acceleration - change of velocity over time

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Position

It's the 90’s and your carriage breaks down 8 miles from home and you decide to run home (no uber or cell phones)After briefly getting lost on a straight street and turning around you make it home.

Position

How far did you travel?

Velocity

Calculate the highest velocity���What was your average speed?

Acceleration

What would we need to change about this graph to demonstrate acceleration?

Vectors Vs Scalars

What makes something a scalar?�-Tells magnitude only��What makes something a vector?�-Both magnitude and direction�

What tells you more?

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When do we use them?

Describing more complicated motion...

How far did they travel? Make an argument!

Vector Addition

Draw a vector that describes the total displacement of these vectors

Vector Addition -Go HOME

These displacement vectors describe a trip around a neighborhood where you eventually wind up back at home. Draw the missing vector to get back home

VEctor Components

How do you separate the components of a vector? ����What information would you need to know about a vector to calculate its components?

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Vector Addition

What would vector addition be essential for particle physicists?

Ideas?

Equations for Projectile Motion

acceleration is -9.8 meters per second squared

Positives are in up direction for y

Vertical position equation Velocity Equation

𝚫y =v_0yt + at² v_y = v_0y + at

Horizontal position equation

𝚫x =v_0xt + at²

Vector Components

A ball is kicked above level ground with a velocity vector of 10 m/s at 30° above horizontal. How far does the ball land from the starting point.

Vector problems

A rock is thrown horizontally off a 100 meter cliff with an initial speed of 5 m/s. We will ignore air resistance.

1. Find the vertical and horizontal component of initial velocity?
2. Find the total time the rock is in the air
3. Find the final vertical velocity component as the rock hits the ground.
4. Find the magnitude and direction of velocity (using the x and y components) as the rock hits the ground