A woman bails out of an airplane at an altitude of 10.000 ft. falls freely for 20 s, then opens her parachute. How long will it take her to reach the ground? Assume linear air resistance
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- 1. A 500-liter tank initially contains 10 g of salt dissolved in 200 liters of water. Starting at to = 0, water that contains 1/4 g of salt per liter is poured into the tank at the rate of 4 liters/min and the mixture is drained from the tank at the rate of 2 liters/min. Determine the quantity Q(t) of salt in the tank at time t = 0 until the time when the tank overflows. Code a C program which determined this quantity Q(t) by using RK4 method with h = 1. Note: May use the concept of function prototypes, function definition, function call, recursion etc. in a program. 2. A team of surveyors conducted depth-sounding at equidistant locations across the river to measure the area of a river cross-section. Determine the area of the cross-section by coding a C program of the Composite Simpson Rule, taking into consideration the river's 6.0 m width and the fact that it is equally divided into 7 stations. Station Depth, m 0 1 -1.23 24555 3 6 7 -2.08 -2.57 -1.86 -0.65 -0.24 Note: Determine the…arrow_forward5arrow_forwardI A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the equilibrium position and is then given an initial speed of 0.6 m/s. What are the values of the maximum speed and maximum height reached by the bob? (Take g = 9.8 m/s') (a) hmax (b)hmax =D1.87 cm; tnax 3.44 m/s (c) hmax (d) hmax 2.89 cm; Vnax = 0.75 m/s 1.87 cm; max 0.75 m/s 2.89 cm; 1,ax 3.44 m/s or frequency to 2/:arrow_forward
- A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 1/5 pound of salt per gallon is added to the tank at 10 gal/min, and the resulting mixture is drained out at 5 gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows. Q' (t) = = (b) Find the quantity of salt in the tank as it's about to overflow. esc C ✓ % 1 1 a 2 W S # 3 e d $ 4 f 5 rt 99 6 y & 7 h O u * 00 8 O 1 9 1 Oarrow_forwardb Mra. Q5. A cylinder is 150 mm mean diameter and 750 mm long with a wall 2 mm thick. It has an internal pressure 0.8 MPa greater than the outside pressure. Calculate the following. E=200 GPa H i. The circumferential strain. ii. The longitudinal strain. EL iii. The change in diameter. iv. The change in length. L iv. The change in volume v 2:0.3 أطلبوها من مكتب لكلمات Q6. The thin walled cylinder can be supported in one of the two ways as shown. Determine the state of stress in the wall of the cylinder for both cases if the piston P causes the internal pressure to be 500 KPa. The wall has a thickness of 5 mm and the inner diameter of the cylinder is 200 mm. 2) Piston Piston 百货arrow_forwardM D d T M. P- A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P O) is made of steel with the allowable shear stress tall. Find the maximum torque I that can be transmitted by the shaft. Given: D = 28mm, d = 20mm, r = 4mm, and tall = 250 MPa. Please help with this question. The answer should be 157.1 Nmarrow_forward
- 2. The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight.arrow_forwardDetermine the drag coefficient c needed for a parachutist of mass m=68.1kg to have a velocity of 40m/s after free-falling for time t=10s. Note: The acceleration due to gravity is 9.8m/s2. Use the Regula Falsi methodarrow_forwardA capacitor, an electric resistance heater and an impedance are connected in parallel to a 120V 60HZ system. The capacitor draws 50VAR, the heater draws 100W, and the impedance coil draws 269VA at 0.74 pf. ( Determine the following: a. pf of the system, b. the total apparent power and c. total current flowing thru the system.arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrOperations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole