AP Physics Monday 14.01.27 Standards: D3a5Analyze situations in which two or more objects are pushed apart by a spring or other agency, and calculate how much energy is released in such a process. Warm Up A 5000 kg freight car moving at 4 km/hr collides and couples with an 8000 kg freight car which is initially at rest. The approximate common final speed of these two cars is… a) 1km/hr b) 1.3 km/hr c) 1.5 km/hr d) 2.5 km/hr e) 4 km/hr Objective: SWBAT solve AP Free Response Problems on momentum. Agenda 1. Warm Up 2. Collect Homework M5-M8 +Extra 3. Guided Practice AP Free Response. Homework Momentum Test Wednesday Homework #M9 AP Physics Tuesday 14.01.28 Standards: D3a5Analyze situations in which two or more objects are pushed apart by a spring or other agency, and calculate how much energy is released in such a process. Objective: SWBAT compete for extra credit to solve AP Momentum Problems as a test review. Agenda 1. Warm Up 2. Test Review Warm Up If the unit for force is F, the unit for velocity is v and the unit for time t, then the unit for momentum is a) Ft b) Ftv c) Ft2v d)Ft/v e)Fv/t Homework Review for Test AP Physics Wednesday 14.01.29 Standards: Momentum Test Objective: SWBAT score at least 40% (AP 4) on the test. Warm Up A mass m has speed v. It then collides with a stationary object of mass 2m. If both objects stick together in a perfectly inelastic collision, what is the final speed of the newly formed object? a) v/3 b) v/2 c) 2v/3 d) v e) 3v/2 Agenda 1. Warm Up 2. Momentum Test Homework Test AP Physics Thursday 14.01.30 Standards: Relate the radius of a circle and the speed or rate of revolution of the particle to magnitude of centripetal acceleration. Objective: SWBAT will be to solve centripetal motion problems. Agenda 1. Warm Up 2. Review Test 3. Centripetal Motion Notes 4. HW C#1 Warm Up An elastic collision occurred between two masses. Set up the conservation of momentum equations for this scenario and solve for the final velocity of mass #2. Homework C#1 AP Physics Friday 14.01.31 Standards: Relate the radius of a circle and the speed or rate of revolution of the particle to magnitude of centripetal acceleration. SWBAT determine a value of the acceleration due to gravity by experimenting with centripetal motion. Agenda 1. Warm Up 2. Review HW 3. Lab 4. AP Lab FRQ Warm Up 8. A child has a toy tied to the end of a string and whirls the toy at constant speed in a horizontal circular path of radius R. The toy completes each revolution of its motion in a time period T. What is the magnitude of the acceleration of the toy? (A) Zero (B) 4π2R/T2 ( C ) πR/T2 (D) g (E) 2πg Hint: this problem requires 2 of the 3 equations we learned yesterday. Homework C#2 Lab Report Due Tuesday AP FR Guided Practice A massless spring is between a 1-kilogram mass and a 3-kilogram mass as shown above, but is not attached to either mass. Both masses are on a horizontal frictionless table. In an experiment, the 1-kilogram mass is held in place and the spring is compressed by pushing on the 3-kilogram mass. The 3-kilogram mass is then released and moves off with a speed of 10 meters per second. • a. Determine the minimum work needed to compress the spring in this experiment. In a different experiment, the spring is compressed again exactly as above, but this time both masses are released simultaneously and each mass moves off separately at unknown speeds. • b. Determine the final velocity of each mass relative to the cable after the masses are released. M#9 FRQ Practice • A bullet of mass m and velocity vo frictionless horizontal surface. The bullet penetrates the block and emerges with a velocity of is fired toward a block of mass 4m. The block is initially at rest on a 3vo • (a) Determine the final speed of the block. vf2=vo/6 • (b) Determine the loss in kinetic energy of the bullet. ΔK=(4/9)mvo2 • (c) Determine the gain in the kinetic energy of the block.K=(1/18)mvo2 Centripetal Motion Guided Practice 4b Pat Kinch used a racing cycle to travel 75.57 km/h. Suppose Kinch moved at t his speed around a circular track. If the combined mass of Kinch and the cycle was 92.0 kg and the average centripetal force was 12.8 N, what was the radius of the track? r=3.17x103m Centripetal Motion C#1 A. Fc=? m=20kg r=40m v=5m/s 1. 2. B. Fc=40N m=4kg r=40m v=? C. Fc=40N m=2kg r=6m T=? (A6)In 1995, Cathy Marsal of France cycled 47.112 km in 1.000 hour. Calculate the magnitude of the centripetal acceleration of Marsal with respect to Earth’s center. Neglect Earth’s rotation, and use 6.37x103 km as Earth’s radius. (B5) In 1992, a team of 12 athletes from Great Britain and Canada rappelled 446 m down the CN Tower in Toronto, Canada. Suppose an athlete with a mass of 75.0 kg, having reached the ground, took a joyful swing on the 446 m-long rope. If the speed of the athlete at the bottom point of the swing was 12 m/s, what was the centripetal force? What was the tension in the rope? Neglect the rope’s mass. Centripetal Motion Lab Objective: Create a graph whose slope is acceleration due to gravity and is equal to g. Compare this value to g=9.80 m/s2 using % error. r 1. Write a procedure. m1 2.. Fill in the table below: Trial mball mclip (kg) (kg) mw (kg) total time (s) # rev T(s) rstr+ba v ll (m) (m/s) F(N) v2/r (m/s2) 1 2 3 3. Graph F vs. v2/r (the right 2 columns), find the best fit line, the slope, and the equation of the line. F(N) binder clip m2 mtotal (kg) 4. slope = acceleration due to gravity of the ball, so we will compare the acceleration due to gravity with our measured value to find its accuracy g -g %error =| actual measured gactual | x100%