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Motion by Mind Map: Motion

1. Constant net force

1.1. equations

1.1.1. change of velocity is equal to the final velocity minus the initial velocity = acceleration times the change in time

1.1.2. refer to page 108 and 109

2. Visualization

2.1. Motion diagrams

2.1.1. position

2.1.2. velocity

2.1.3. Acceleration

3. Free Fall

3.1. No forces act on an object other than the gravitation force that makes the object fall

3.2. Air resistance

3.2.1. neglible

3.3. massive objects are harder to accelerate

3.4. More mass=more inertia

3.5. the acceleration of an object in free fall is the vector of "g" regardless of the object's mass

3.6. 9.80 meters per second squared

4. Motion of projectiles

4.1. an object moves in the xy-[plane with constant acceleration then both a of x and a of y are constant

4.2. Projectiles

4.2.1. objects in free fall

4.2.2. motion takes place in vertical plane

4.3. Angle of elevation

4.3.1. angle of initial velocity above the horizontal

4.4. Trajectory

4.4.1. path it takes in air

5. Apparent Weight

5.1. the feeling of "weightless"

5.2. elevator example

5.2.1. upwards the weight will be great than the true weight

5.2.2. downwards the weight will be less than the true weight

6. Air resistance

6.1. Drag force

6.1.1. increases as speed increases

6.1.2. the larger the surface area the more air is needed to be pushed out of the way

6.2. Terminal velocity

6.2.1. the acceleration is zero

6.3. Terminal speed

6.3.1. the magnitude of the terminal velocity is:

6.3.2. depends on: size shape mass

7. Words of the Day

7.1. Forestall

7.1.1. to predict what is ahead

7.2. Modus operandi

7.2.1. "mode of operation"

7.3. Ne Plus ultra

7.3.1. the most profound degree

7.4. Ithaca

7.4.1. the journey

7.5. Panacea

7.5.1. cures

7.6. Explore

7.6.1. To investigate systematically; examine

7.7. Red Herring

7.7.1. something intended to divert attention from the real problem or matter at hand

7.8. Mash-Up

7.8.1. combining data from more than one source into a single integrated tool

8. Acceleration

8.1. the rate of change of the velocity

8.2. indicates any change in the velocity vector

8.2.1. change in direction

8.2.2. increase in speed

8.2.3. decrease in speed

8.2.4. simultaneous change in speed and direction

8.3. To find it:

8.3.1. the change in velocity divided by the corresponding time interval

8.3.2. meters per second squared

8.4. Reading graphs

8.4.1. net force and velocity point in opposite directions=slowing down

8.4.2. Net force and velocity point in same direction= speeding up

8.4.3. Straight-line motion= acceleration is wither same direction as velocity or in the opposite direction to the velocity

9. Position

9.1. States where an object is located

9.2. x-, y-, and z-coordinates

9.3. Point of reference in relation to origin

9.3.1. Direction

9.3.2. Distance

10. Displacement

10.1. Definition:The change of the position vector

10.2. How to find it: The final position vector minus the initial position vector

10.3. Remember: does not necessarily equal the total distance traveled

11. Velocity

11.1. depends on displacement and time interval

11.2. Average velocity

11.2.1. does not reveal information about the motion during the time interval

11.2.2. product of the vector, the displacement, and a positive scalar, the inverse of the time interval

11.2.3. x-axis represented on the graph as x(t)

11.3. Instantaneous velocity

11.3.1. a vector

11.3.2. magnitude is the speed

11.3.3. direction of motion

11.3.4. used to calculate the displacement of the object during a very short interval

11.4. Reading Graphs

11.4.1. sloping portions on graphs indicate=movement

11.4.2. a horizontal position=position has not changed

11.4.3. steeper the graph=faster speed

11.4.4. sign of the slope indicates direction of motion positive slope positive slope=motion in the +x-direction negative slope=motion in the -x-direction

12. Newton's second law

12.1. rate of change of the velocity is proportional to the net force and inversely proportional to the mass of th object

12.2. net force is constant the acceleration is also constant

12.3. Applying to problems

12.3.1. Decide what objects will have Newton's second law applied to them

12.3.2. Identify all the external forces acting on that object

12.3.3. Draw a FBD to show all the forces acting on the object

12.3.4. Choose a coordinate system

12.3.5. find the net force by adding the forces as vectors

12.3.6. Relate the net force to acceleration

12.3.7. Relate the acceleration to the change in the velocity vector during a time interval of interest

13. Vectors

13.1. Positions and displacements

13.2. Problem solving

13.2.1. Vectors in different direction, Subtraction: is to add its opposite has same magnitude but opposite direction

13.2.2. Multiplication multiplyig a vector by the scalar -1 reverses the vector's direction while magnitude is unaffected

13.2.3. Subtraction : used to find displacement

14. Helpful terms

14.1. Interval

14.1.1. The amount of time between two specified instants, events, or states

14.2. Slope

14.2.1. rise/run

14.3. Mass

14.3.1. measure of its inertia

14.4. Weight

14.4.1. is the magnitude of the gravitational force acting on it

15. Relationship: velocity and Acceleration

15.1. Velocity is the change in position

15.2. Acceleration is the change of velocity