Q: You have a CO2 laser resonator (λ = 10.6 μm). It has two curved mirrors with R₁=10m, R2= 8m, and mirror separation /= 5m. Find: R2-10 m tl Z-O 12 R1-8 m 1. Confocal parameter. b= 21w2/2 =√1 (R1-1)(R2-1)(R1+R2-21)/R1+R2-21) 2. Beam waist at t₁ & t2- 3. Waist radius (wo). 4. 5. The radius of the laser beam outside the resonator and about 0.5m from R₂- Divergence angle. 6. Radius of curvature for phase front on the mirrors R₁ & R2-

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SARET CRKS AUTOWAY 12. A stone is dropped from the top of a cliff. It is seen to hit the ground below after 3.55 s. How high is the cliff? 13. A ball is dropped from rest at the top of a building that is 320 m tall. Assuming no air resistance, what is the speed of the ball just before it strikes the ground? 14. Estimate (a) how long it took King Kong to fall straight down from the top of the Empire State Building (280m high), and (b) his velocity just before "landing". Useful equations For Constant Velocity: V => D X = V₁t + Xo For Constant Acceleration: Vr = V + at X = Xo+Vot + v=V+2a(X-Xo) \prom = V +V V velocity t = time D Distance X = Final Position Xo Initial Position V = Final Velocity Vo Initial Velocity a = acceleration For free fall Yf = Final Position Yo Initial Position g = 9.80 m $2 For free fall: V = V + gt Y=Yo+Vo t + +gt V,² = V₁²+2g (Y-Yo) V+Vo Vprom= 2 6

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A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t> 0. y(t) ון

7. A race car accelerates from rest to 55 m s-1 in 5.0 seconds. The acceleration of the car Is m s-² 8. An object's speed increases uniformly from 10.5 km per hour to 99.8 km per hour in 2.41 seconds. Calculate the acceleration in m s-2 and express your answer to three significant figures. 9. The acceleration-time graph of a car is shown below. The initial speed of the car is 5.0 m s-1. # Acceleration (ms) 12 8.0- 4.0- 2.0 4.0 6.0 Time (s) Calculate the velocity of the car at t = 4.0 s. 3

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Problem Seven. A football receiver running straight downfield at 5.60 m/s is 11.5 m in front of the quarterback when a pass is thrown downfield at an angle of 35.0° horizon. above the 8.) If the receiver never changes speed and the ball is caught at the same height from which it was thrown, find the distance between the quarterback and the receiver when the catch is made. (A) 21.3 (B) 17.8 (C) 18.8 (D) 19.9 (E) 67.5