Midterm1 - Midtermi 5 01W; 1. An airport control tower sees...

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Unformatted text preview: Midtermi 5 01W; 1. An airport control tower sees an airplane hit the ground at a distance 20 km from the tower, and at an angle 135° clockwise from north of the tower. It locates a rescue helicopter at an elevation 0.75 km, at a horizontal distance 15 km from the tower, and at an angle 150° clockwise from north of the tower. 3) Write the displacement vector from the helicopter to the airplane. (Let the x-axis be east, the y—axis be north and the z-axis be vertical.) ' b) What is the distance from the helicopter to the airplane? Posi‘tim o—l airplane VA: VA C0§9A jASCASVRQ/A 9A: @435: —45’ {34,-7.0 E V a" 4 w 3 20 msHS): 20 (0343': H.” hm jA : 10 5;“ pm: arisinws’r—MJWK ‘ VP; :- C03 50 :7.§'0 km jet: -—ls“5«:a£>0 2-13.00nn '2H 3 YLM 0‘) Displacrwani‘ ham helimp‘llr ts afl’ylane Fin- : +6.64? -i.iqj 4.7512 R T b) Dis mm! d: : (9.75 km 2. A truck of mass M = 3000 kg sits on an icy freeway at the top of a mountain pass. The freeway descends a height H = 2.5 km over a horizontal distance L = 25 km, as shown. a. What magnitude P of force, aimed up the hill as shown, will hold it in place? Give the answer in both Newtons and pounds. (1 N = 0.2248 lbs) b. If the truck is let go, and slides without rolling down the icy, frictionless hill, how long will it take to get to the bottom? 0. How fast will it be moving, in km/hr, when it reaches the bottom? c) V: at: SSRGW :l1935%9 : 2 Vng 0' - .. .. 7. .M - l , Zx‘ifixmo ’ 7"??? 7‘75-‘1 hM/hr Fm' spring of spring constant K, which extension of the spring from its relaxed (equilibrium) length. a. Find an expression for the acceleration a of the masses as a function of the extension Ax, as well as M1, M2, K and g. b. Find an expression for the tension T in the rope in terms of Ax, M1, M2, K and g. Lei: +x be lo 4N right (up alone] the VWM 32611;“) : HM Forum h _ _ T—M.3:H.a 3‘— Hia m __ H: — (AX—M1 , h.+m_( l) '3 Hm cm rt- H ~ H H 1 _ . .3» “I n” z) ‘. H. —H.e 3 MM Pa H H.+H7, 3@ 3 mm, in”; Hl‘l‘l'lz( KA‘; +“ 1‘9) j 4. A student sitting at a height h = 3 In throws a projectile with velocity v0 making an initial angle 9 = 45° to the horizontal. What must the magnitude of V9 be so that the projectile hits an object P that is a horizontal distance D = 7 In from the student and at a height H = 4 m above the ground? - - _,I z H_h +v03met ijt v0 c056 t = D 2; "b: D/vocosé PW 9:457” Tana: l and $919271 3‘0 H: h+D “32: Va Solve ‘lTV v0 0&5 1L0H0W’: +4113:— : +D “H W" 11>: v 5 D1 V01: h+D~H Oh— b-l-D-H _ clog x71 _ 0 U0“ 3+7—H ’ O'qsm5 W ...
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Midterm1 - Midtermi 5 01W; 1. An airport control tower sees...

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