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-how closely the measurement agrees with the accepted value |
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-Which digits are significant? |
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-any nonzero digits in a number -any zeros between non-zero digits -zeros appearing at the end of a number and to the right of the decimal point |
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-Adding or subtracting with significant digits |
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-the result cannot be more precise than the least precise number being added or subtracted |
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-Multiplying or dividing with significant digits |
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-the result should have the same number of significant digits as the “input” number with the fewest |
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The Difference between speed and velocity |
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-Velocity is a vector- it has magnitude and direction -Speed is a scaler- it has magnitude but no direction |
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-Acceleration = change in velocity (Δv) / change in time (Δt) -Can be a change in speed or direction or both -Acceleration = slope of a velocity time graph |
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-Has magnitude and direction (vector) -Use arrows to represent velocity (-------) -Velocity = change in displacement (Δd) / change in time (Δt) -Velocity = Slope of a displacement-time graph -Instantaneous velocity: average velocity over an infinitesimally small period of time -Unit: meters per second (m/s) |
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How do you find displacement from a velocity/time graph? |
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How do you find the velocity on a displacement/time graph? |
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Find the slope (slope=velocity) |
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How do you find the acceleration on a velocity/time graph? |
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Find the slope (change in velocity/change in time) |
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Steps to solving a projectile motion problem |
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-Draw a picture -Split into x and y components -Find time to max height (v = at+v0) -Find max height (d = ½ at2 + v0t + d0) -Find time from max height to ground (Δd = ½ at2 + v0t) -Find total time (total time = time to max height + time to ground) -Find range (Δd = v0t – the ½ at2 cancels out) |
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What angle gets you maximum projectile rang |
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-A push or a pull -Has a direction |
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-The sum of all individual forces acting on an object |
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-1. “Law of Inertia” -An object in motion will stay in motion and an object at rest will stay at rest unless acted upon by a nonzero outside force |
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-“Fnet = ma” -The net force acting on an object is equal to the object’s mass times it’s acceleration |
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-“action-reaction” -For every force that one object exerts on another, the second object exerts a force back on the first that is equal in magnitude but opposite in direction |
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Weight -Is a force -unit: Newtons -force of gravity on an object -has direction -w = mg Mass -not a force -unit: kg -how hard it is to change an object’s motion -no direction -constant |
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How closely the measurement agrees with the accepted value. |
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The opposing force air has on a moving object. When it’s equal to gravity, you have equilibrium. |
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Standard ways of measuring. |
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Tells you where the zero point of the variable you are studying is located. |
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Location. Defines the distance and direction between two points. |
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An object is in equilibrium when all the forces acting on it cancel out and the net force is zero. |
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When something is subject only to the force of gravity and nothing else. |
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The average velocity over an infinitesimally small period of time. |
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When objects exert forces on each other. |
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Something’s size; -the amount of space it takes up -not a force -unit: kilograms -how hard it is to change an object’s motion -no direction -constant |
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-The highest point an object reaches -At the max height velocity = 0 |
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The point at which the variables have the value of zero. |
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-The exactness of a measurement -For a measuring device, precision is equal to ½ the smallest division. |
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-The distance something travels horizontally -Range = v2sin(2θ)/g (**when launched and lands at same height) |
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-The “valid” digits in a measurement. |
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