4*9 Force and Energy: Different Insights

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Presentation transcript:

4*9 Force and Energy: Different Insights WDYS??? (p448) . WDYT??? _____ and _____ are parts of “The Snake” that would be most thrilling. If the speed of “The Snake” remains the same, the ride would still be fun because _____.

4*9 Investigate (p448) Concept Map of Ch4

4*9 Investigate (p448) 6a) Same speed = same height, therefore _____ and _____. 6b) Because they have the same height, they have the same _____ and the same _____. 6c) The largest contact force is at the ________ of the circular loop.

4*9 Investigate (p448) 8. The thrills of a roller coaster comes from __________ NOT going at a constant speed!!!!!! __________ 9a) The carts have the same height, therefore have the same_____ at the top and the same _____ at the bottom. 9b) The cart with the _____ incline will get to the bottom faster.

4*9 Notes Scalars and Vectors Scalar  a number (size, magnitude) with NO direction EXAMPLE speed, distance, energy Vector  a number (size, magnitude) AND direction EXAMPLE velocity, displacement, force

4*9 Notes 2. Adding Scalars and Vectors Scalar  Just add them—no biggie  Vector  Vector diagrams and math….. Vectors in the same direction—add In opposite directions –add the negative (subtract) At right angles—Pythagorean Theorem

4*9 Notes Vector Addition EXAMPLES: add the following vectors: (vector diagrams and math) a. 20 m/s north and 30m/s north b. 30 N Left and 40 N right c. 6 m/s/s left, and 8m/s/s up.

4. Energy – A Scalar Quantity All energies are measured in joules At whatever point on the roller coaster, the total ME (=GPE+KE) is always the same due to the law of conservation of energy If two points on a roller coaster have the same height, then they have the same velocity, KE and GPE.

The ENERGY at any given point on the ride In roller-coaster physics, ENERGY can tell you 3 things: The ENERGY at any given point on the ride GPE is dependent on height and GPE is GOLDEN!!! If any 2 points on the ride have the same height, then they will have the same speed, GPE, and KE 

5. Force – A Vector Quantity (p453) Force and Weight are measured in NEWTONS. On a straight incline, the FGravity and the FNormal always remain in fixed directions  you are constantly speeding up you are constantly going in the same direction On a curved incline, the Fnormal is always changing direction and speed  your speed is constantly changing (up, down, up, down) your direction is constantly changing (up, down, up, down)

A Roller-Coaster is an Energy Ride!?!?!? When to Consider Force and When to Consider Energy A Roller-Coaster is an Energy Ride!?!?!? If you are looking for the SPEED of the ride, then it is easier to find the HEIGHT  GPE  KE A Roller-Coaster is a Force Ride!?!?!?? If you are looking for the acting forces (apparent weight), then it is easier to make a Free-Body Diagram (FBD)

4*9 TOTD 1.