4 Consider a Falcon 9, a two-state-to-orbit launch vehicle. The take-off mass of Falcon 9 is mto = 550,000 kg, the first stage fuel burn rate is m = 2500 kg/s over a maximum of 160 s, and constant thrust of T = 7500 kN. Making a lot of simplifying assumptions including constant gravity, no aerodynamic drag, thrust constant with altitude, we can approximate the vertical acceleration (assuming vertical thrust) as: ay(t) = T-mog+mgt mo-mt After 60 s, lets assumed that the rocket is turned by 45 deg so that the equations for acceleration become (assuming flat Earth, i.e., gravity is still in y-direction): az (t) = (T/√2) mo-mt ay(t) = (T/√2)-mog+mgt mo-mt Calculate the magnitude of velocity (in km/s) at t = 121 sec. (no answer) Correct Answer: 1.287

The figure shows a block of mass M hanging at rest. The light wire fastened to the wall is horizontal and has a tension of 18 N. The wire fastened to the ceiling is also very light, has a tension of 50 N, and makes an angle 0 with the ceiling. Find the angle 0. O 33.6° 68.9° 50 65° 45.9

1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.

The velocity v of a falling parachutist is given by v=(g m/c)(1-e-(c/m)t) where g=9.81 m/s2. For a parachutist with a drag coefficient c=15 kg/s, compute the mass m so that the velocity is v = 36 m/s at t = 10 s. Use the false-position method to determine m to a level of es = 2%. False-position method : xr = xu - f(xu)(xl - xu)/(f(xl) - f(xu))

The speed skier has a frontal surface area of 0.75 m^2 and a Cd of 0.54 (assume that p=0.95 kg/m^3) If the slope is 58 degrees and the skier's weight (including the equipment) is 92 kg, what the maximum velocity the skier can attain?

Wing Loading of = 570 N/m² Co = 0.06 +0.0150₂² The glider was launched at 500 meters altitude. Calculate for mimimum rate of descent in meters per second. (Round off answer with two decimal places, No units, No commas) Answer given: 23554 Which is not true about the effect of altitude? A. Points with the same value of a therefore must have the same glide path angle. B. The drag polar changes with flight speed. C. The glide path angle is independent of altitude and depends solely on the angle of attack.

A 6.00 kg box sits at rest at the bottom of a ramp that is 8.00 mm long and is inclined at 30.0 degrees above the horizontal. The coefficient of kinetic friction is μk = 0.40, and the coefficient of static friction is μs = 0.43. What constant force F, applied parallel to the surface of the ramp, is required to push the box to the top of the ramp in a time of 6.00 s? Express your answer to four significant figures and include the appropriate units.