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What is the difference between longitudinal and transverse waves? Give an example of each How much power is dissipated by the circuit to the right. ( Eq : P = I 2 R = I V) What is the current through the 2-ohm resistor below? . Homework : (55 points) 92 review problems. Types of Waves.
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What is the difference between longitudinal and transverse waves? Give an example of each • How much power is dissipated by the circuit to the right. (Eq: P = I2 R = I V) • What is the current through the 2-ohm resistor below? Homework: (55 points) 92 review problems
Types of Waves Transverse wave: medium vibrates at right angles to the direction the energy moves λ Compression wave: (longitudinal wave) medium vibrates in the same direction as the direction the energy moves
http://www.youtube.com/watch?v=Rbuhdo0AZDU Types of Waves:
Electromagnetic Waves • Mechanical waves require a mediumin order to travel. • examples: • electromagnetic waves do not require a medium water, earthquakes, and sound
2. How much power is dissipated by the circuit below? Given Equation 1 Equation 2 R = 200 Ω V = I R P = I V V = 100 V
3. What is the current through the 2-ohm resistor below? Equation V = I R Given R1 = 2 Ω V = 10 V Parallel circuit: Voltage is equal at both resistors
How much power is dissipated by the circuit to the right. (Eq: P = I2 R = I V) • What is the current through the 2-ohm resistor below? Homework: (55 points) Finish Review Problems (6) Reading Log 501-503
Quiz! • Clear your desks! • Grab a pencil! • Get ready!... Get set!…. GO!
Momentum • What is the difference between kicking a: • stationary ball? • ball travelling towards you at 30 mph? • Newton solution: moving inertia
Momentum vector (direction is important) • Units: kgm / s
Momentum • Let’s try it: • momentum of a 50kg person walking at 2 m/s • momentum of a speeding bullet which would you stand in front of?
Danger • Why does bullet have more effect? • energy of a walking person • energy of a speeding bullet energy!
Physics of “Soft” • Falling can have different results • Hard landing: • Soft landing: able to walk away • What’s the difference? Broken bones, pain… Phew! How you change the momentum
Changing Momentum • Let’s connect the force to momentum: • Substitute with impulse • Impulse is the change in momentum
Changing Momentum • Physics of “soft” refers to how momentum is reduced • For example: two 50kg kids jump off a 12 ft (~4 m) building. • Kid 1 lands with straight legs • Kid 2 tucks and rolls when landing
Changing Momentum • Which kid hits the ground faster? • both land with same speed: • At the bottom, they both have the same momentum:
Changing Momentum • In order to stop, their impulse will have to be: • Kid 1 has a really short landing, 0.05 s • Kid 2 makes the landing last longer, 1.0 s • We can use the impulse to find the force each kid feels
Changing Momentum • Kid 1 • Kid 2 • A pound is about 4Newtons, so • Kid 1 feels about 2,000lbs • Kid 2 feels about 100lbs (broken bones) (piggy back ride)
Changing Momentum • Kid 1 • Ft • Kid 2 • Ft • You can always make a soft change if the impulse time is long enough
Time to Practice Go to pg. 506
Physics of Catastrophe • Catastrophic event: • collisions • explosions • In order to know the velocity after, you need to know the momentum before
Conservation of Momentum • Main reason Newton used • It is conserved! • So, all the total momentum before something explodes • Is thesame after it explodes!
Conservation of Momentum • But initially it was not moving! • Since momentum is a vector: • All of the xvectors add to zero • All of the y vectors add to zero
Conservation of Momentum • Same for crashes • All the momentum before the crash • Is the same after the crash • Let’s try one…
Example A 65 kg swimmer runs with a horizontal velocity of 5.6 m/s off a dock He jumps into a 15 kg rubber raft that is drifting towards him with a velocity of 1.0 m/s What is the velocity of the swimmer and raft after the impact? (assume no friction or resistance due to air or water)
Example • A 65 kg swimmer runs with a horizontal velocity of 5.6 m/s off a dock • He jumps into a 15 kg rubber raft that is drifting towards him with a velocity of 1.0 m/s • What is the velocity of the swimmer and raft after the impact? • Start by drawing a diagram for before and after vf vf or
Diagram • Before: • After: notice the subscripts How will v1f compare to v2f?
Set up conservation equation only one vf which direction is vf?
Try this out! Answer questions 89-92 on your review sheet Turn it in on a separate piece of paper by the end of class (Disclaimer: These questions do not count as part of your 42 problems)