A 25kg block slides down a 20 degree ramp. What is the normal force? A. 83.8 N B. 230 N C. 245 N D. 89.2 N.

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Presentation transcript:

A 25kg block slides down a 20 degree ramp. What is the normal force? A N B. 230 N C. 245 N D N

Motion in One Dimension Motion in One Dimension Describing the Obvious.

One-Dimensional Motion Because there is no net force, this is simplest kind of motion Because there is no net force, this is simplest kind of motionmotion Things can move forward and backward, or “up” or “down.” Things can move forward and backward, or “up” or “down.” –This will depend on your frame of reference.

Key terms Key terms Displacement vs. Distance Displacement vs. Distance –How far? Velocity vs. Speed Velocity vs. Speed –How fast?

Distance vs Displacement Simple questions about the school and home? Simple questions about the school and home? –How far did you go to get home yesterday? Distance –We have a new device which will jam cell phones within a 1 mile radius. Displacement

Go Bucks! Backwards or in the “negative” direction. Forward or in the “positive” direction.

Remember… Displacement is not always equal to the distance traveled! Displacement is not always equal to the distance traveled! Displacement can be positive or negative! Displacement can be positive or negative! - +

POSITIVE AND NEGATIVE QUANTITIES Tell you the DIRECTION of Motion ! DIRECTION of Motion DIRECTION of Motion

Displacement Displacement is the total change of position the total change of position of an object, not the total distance traveled

1 km 5 km 10 km 19.5 km What is Homer’s Net (total) Displacement? ZERO !!!!!! !

Displacement When things start moving, the length of a straight line drawn from the object’s initial position to it’s final position is it’s displacement When things start moving, the length of a straight line drawn from the object’s initial position to it’s final position is it’s displacement In one dimension… In one dimension… Change in position along x-axis = (final position on x-axis) – (initial position on x-axis) Read the TIP at the bottom of p.41!

Speed and Velocity We have three important questions to answer…. We have three important questions to answer…. –What do these words mean? –Are they the same thing? –What time is this class over?

Speed Speed = distance/time (d/t) Speed = distance/time (d/t) –SI unit for speed is meters per second (m/s) –If speed is constant we can predict the amount of distance an object will travel in a set amount of time.

Velocity velocity = distance/time (d/t) velocity = distance/time (d/t) –SI unit for velocity is meters per second (m/s) –If velocity is constant we can predict the amount of distance an object will travel in a set amount of time. –Velocity also has a specific direction assigned to it.

Velocity Velocity and speed are like 2 very athletic brothers. –The older brother (speed) can run as fast as he wants but has no “direction” in his life. He will play in Indianapolis til’ he’s 40. –The younger brother (velocity) is just as fast but he knows where he’s going (he has a direction). He will finally help the Giants win the Superbowl and make millions $$$$!!!!

Velocity has two parts: The speed (d/t) and the direction. Velocity has two parts: The speed (d/t) and the direction. –We could use north, south, etc. –For now we will generally be dealing with only 2 directions (+ and -). NOTE: If either the speed or direction is changing then the velocity is changing! NOTE: If either the speed or direction is changing then the velocity is changing!velocity is changingvelocity is changing

What! How is that a Difference?! So speed and Velocity are the same except Velocity has a direction! That makes no sense! AAAAAAAAAAAAAAAAARG!!!!! Don’t have a cow man! It’s Simple. If we both are running at 5 m/s we are going the same SPEED regardless of what direction we are going! If you go one way and I go the other our velocities are different even if our speeds are the same! 5 m/s -5 m/s You see my speed is the same in both directions but my true movement isn’t! That is what velocity does! It just describes speed more accurately. This will be very important when you all grow up to become super villains. You can’t dominate the world without a good understanding of these basic concepts!

Right at 5 m/s Left at 5 m/s Do Bart and Homer have the Same Velocity in these two pictures? NO! Their SPEED is the same but their VELOCITY is different because of the direction!

Instantaneous vs. Average Velocity For objects that are accelerating, we will talk about basically two types of velocity that the object will have: For objects that are accelerating, we will talk about basically two types of velocity that the object will have: Instantaneous Velocity Instantaneous Velocity –The velocity of an object (ex: a motorcycle) at any one instant. (The speedometer reading) Average Velocity Average Velocity –This would be if you took the initial and final velocity of the object and averaged them together. You could speed up and slow down but overall there would be an average velocity –It is also the average velocity when you take the total displacement of the object over a certain amount of time. –2 Formulas:

Equations you will need! V = d / t

An airplane is traveling east with a constant velocity of 25 m/s. How far east of Austin does the airplane travel in 45 seconds if it started at 500 m west of Austin? A m B m C m D. 625 m

Frames of Reference The world looks very differently depending on how you look at it.

You sitting in a bus going 20 m/s to the west. A passenger starts walking 2 m/s to the east. What is his velocity related to you? A. 18 m/s to the west B. 22 m/s to the east C. 2 m/s to the east D. At rest

You sitting in a bus going 20 m/s to the west. A passenger starts walking 2 m/s to the east. What is his velocity related to someone sitting on a bench outside? A. 18 m/s to the west B. 22 m/s to the east C. 2 m/s to the east D. At rest [Default] [MC Any] [MC All]