Provide your solutions on a separate sheet of paper and submit all pages combined as a SINGLE PDF file. For each question you need to show all elements of GRASP: . Write what is Given and Required or provide a labeled diagram. . Analyze the necessary formulate) and rearrange if necessary. . Substitute into the formula and include units, and . Paraphrase the final answer with correct significant digits, units, and direction (for vector quantities) 1. An airplane flies east at 180 m/s. A. What is the momentum of the jet if its total mass is 2050 kg? B. What would be the momentum of the jet if the mass was 5 times its original value and the speed increased to 3 times its original value? 2. A stream of water strikes a stationary turbine blade (see Stationary drawing). The incident water stream has a velocity of +21.0 Turbine m/s [right] and the exiting stream has a velocity of 21.0 m/s v =+21.0%% Blade [left]. The water strikes the blade at a rate of 18.0 kg/s. Find the net force acting on: a) the water b) the blade v, =-21.0%+ 3. What quantities are used to calculate impulse? State the units of impulse. 4. Using the concept of impulse, explain how a karate expert can break a board. 6000 5. From the graph to the right, what is the magnitude of the 5000 impulse provided to a 48 g tennis ball that is served due south? 4000 What is the velocity of the ball when the racquet and ball separate? Magnitude of Net Force Fret (N) 3000 2000 1000 0 0 0.2 0.4 0.6 0.8 1.0 1.2 Time t(ms)6. Whiplash occurs when a car is rear-ended and there is no headrest or the headrest is not properly adjusted. The torso of the motorist is accelerated by the seat, but the head is jerked forward only by the neck, causing injury to the joints and soft tissue. What is the average net force on a motorist's neck if the torso is accelerated from 0 to 14.0 m/s [W] in 0.135 s? Assume that the force acting on the head (m = 5.40 kg) is the same magnitude as the force on the torso. 7. Using the principles of impulse and change in momentum, explain how the use of seat belts and headrests save lives and prevent injuries. 8. Two men pushing a stalled car generate a net force of +840 N for 5.0 s. What is the final momentum of the car? 9. A child hits a ball with a force of 150 N. If the ball and bat are in contact for 0.12 s, what impulse does the ball receive? What is its change in momentum? If the mass of the ball is 750 g and the ball was initially moving toward the boy at 12.8 m/s, what is its final velocity? 10. A 300 g ball is struck by a bat with an impact that lasts 0.020 s. If the ball moves forward through the air towards the bat at 50 m/s and leaves at 100 m/s in the opposite direction, calculate the average force exerted by the bat on the ball. 11. In the graph to the right, what value of Fix gives an impulse of 7.1 Ns? F. F (ms) 2 8 10 12. An 8.0 g bullet travelling at 400 m/s goes through a stationary block of wood in 4.0 x 10s, emerging at 100 m/s. A. What average force did the wood exert on the bullet? B. How thick is the wood? 13. Given the force-time graph to the right for a 0.75 kg object that was accelerated from rest, calculate the magnitude of the velocity 60 N at 4.0 s. Force (N) time (#) 408EQUATIONS Kinematics Waves Atomic Physics hi Vave = Ad d = vt - sat E = hf = hc At T = 2ANK -di W = hfo m = ho do AV Ekmay Te stop N = NO-)" dave At d = Vr+ vit 2 T = 2AN8 1 + di - = do d = vit + - at2 v.= = vi2+ 2ad sin 01 T = + n2 Quantum Mechanics and Nuclear Physics sin 62 AE = Amc2 E = pc T2 12 V1 21 v = fa V 2 Dynamics AA = mc h (1 -cose) Fnet Gmm2 a = m F & = f = ( VIV)Is a = d sine Trigonometry and Geometry 8 = Gm opposite Line sin0 = hypotenuse F, = -kx Fg m = Ax g = m adjacent Electricity and Magnetism cos = hypotenuse y = mx + b Momentum and Energy F. = kq192 AV = AE tan0 = _ opposite Area p = mv Ek = mv2 12 9 adjacent Rectangle = /w E = kq c = a2+62 FAt = may Ep = mgh Triangle = S ab W = Fla|cose Ep = 5kx2 Fe a b Circle = mr2 E = q |Fm| = 11 B C sin A - sin B sin C W = AE W E = AV Fml = qVB c2 = a2 + 62 - 2ab cos C Circumference Circle = 2ar P = Ad