The second stage of a two-stage rocket weighs 2000 lb (empty) and is launched from the first stage with a velocity of 3000 mi/h. The fuel in the second stage weighs 1000 lb. If it is consumed at the rate of 50lb/s and ejected with a relative velocity of 8000 ft/s, determine the acceleration of the second stage just after the engine is fired. What is the rocket’s acceleration just before all the fuel is consumed? Neglect the effect of gravitation.

Q: 15–125. Water is discharged from a nozzle with a velocity of 12 m/s and strikes the blade mounted on…

A: In order to proceed with the problem some assumptions need to be taken into consideration. The cart…

Q: If the jets exert a vertical thrust of T = (500t3/2)N, where t is in seconds, determine the man's…

A:

Q: The velocity of the water jet discharging from the orifice can be obtained from v= √2gh, where h = 2…

A:

Q: Neglecting the size of the ball, determine the magnitude of the basketball’s initial velocity vA and…

A: Given data: Initial velocity =vA Need to determine the magnitude of the basketball’s initial…

Q: Water is ejected from the water nozzle with a speed vo 47.1 ftisec. For what value of the angle…

A:

Q: The velocity of the water jet discharging from the orifice can be obtained from v = /2gh, where h =…

A:

Q: Water flows through the pipe at A at 300 kg/s, and then out the double wye with an average velocity…

A:

Q: *5-8. Water flows through the 30-mm-diame- ter pipe at 0.002 m3/s and is ejected from the…

A: Given:Diameter of pipe D(r)dA=30 mm=0.03 mDiameter of nozzle dB=10 mm=0.01 mx=0.002m3/sApply…

Q: 12-105. The velocity of the water jet discharging from the orifice can be obtained from v = V2 gh,…

A: The velocity of the jet is given by                              VA =Vx =(2*g*h)^0.5…

Q: 2 The steady jet of water flows from the 150 mm diameter pipe at average velocity 2m/s. If it…

A:

Q: A car of mass 900 kg is initially travelling at 55 km/h. If the speed increases so that its kinetic…

A: Given:- m=900 kg v1=55km/h=15.2778 m/s K1=175 kJ=175000 J To find:- Final speed, v2

Q: The toy sprinkler consists of a 0.2 kg cap and a hose that has a mass per unit length of 30 g/m.…

A: given; diameter(d)=5mm=5*10-3mlift(h)=1.5mrate of flow(Q)=?

Q: In order to shorten the distance required for landing, a jet airplane is equipped with movable vanes…

A: Given data

Q: The sprinkler is made to rotate at the constant angular velocity w = 9 rad/s and distributes water…

A:

Q: A horizontal jet of water 1 in. in diameter and having a velocity of 25 ft per second strikes…

A: Given: The jet diameter, d = 1 in = 0.0833 ft The velocity of jet, v = 25 ft/s The plate velocity, u…

Q: A basketball player shoots when he is 5m away from the backboard. If the ring is 3m high, the…

A: Given data as per question Ring height =3 m Player height =2.1 m Distance between Player and ring…

Q: *15–124. The boat has a mass of 180 kg and is traveling forward on a river with a constant velocity…

A: Given that, Mass of the boat, m=180 kg,Velocity of boat, vb=70 kmhVelcoity of river, vr=5 kmhMass…

Q: Neglecting the size of the ball, determine the magnitude vą of the basketball's initial velocity and…

A:

Q: Q3) The 2-Mg car increases its speed uniformly from rest to 25 m/s in 30 s up the inclined road.…

A: Given: The mass of the car is m=2 Mg, initial speed of the car at rest is v1=0 and final speed up…

Q: If it is required to clear the wall at B and R = 13 ft, determine the minimum magnitude of its…

A:

Q: The cannon and support without a projectile have a mass of 250 kg. If a 20-kg projectile is fired…

A: given

Q: The valve of a cylinder containing 15 kg of compressed gas is opened and the cylinder empties in…

A:

Q: The main propulsion system of a space shuttle consists of three identical rocket engines, each of…

A: Given   Flow rate is given bydwdt=750 lb/sv=12000 ft/sThus we have the…

Q: Water flows steadily from a tank T mounted on wheels as shown Nozzle area = 0.01 m² in the figure.…

A: h1= 2 mh2=6 mA1=.01 m2a Speed of water v1 and v2v1=2gh1v1=2×9.81×2 v1=6.264 msecAnd…

Q: A large rocket ready for vertical launch has a total mass of 2.7(10³) Mg. At launch, fuel is burned…

A: Given:Mass of rocket, mr=2.7*103 MgMass of fuel burnt, mf=13 Mg/sv=2400 m/s

Q: The Milkin Aircraft Co. manufactures a turbojet engine that is placed in a plane having a weight of…

A: Given data: Aircraft weight, W=13000 lbEngine thrust, T=5200 lbTakeoff speed, V=600 mileshr

Q: Reservoir A supplies water to a nozzle having diameter of 80 mm which discharge water 40 m below the…

A:

Q: 34. Determine water jet velocity at the bottom hole of the tank if the column of water inside the…

A:

Q: A 100-ft3 /s wáter jet hits a horizontally lying stationary splitter, such that half of the mass…

A: Since there is no frictional loss on the splitter, the incoming velocity of the jet must be equal to…

Q: 6–27. Air flows through the closed duct with a uniform velocity of 0.3 m/s. Determine the horizontal…

A:

Q: Problem 1. The water jet is ejected from the 4-in.-diameter pipe with a steady velocity of 16 ft/s.…

A: Given:-Velocity is steady; VA=VB=V=16 ft/sdiameter of pipe, d = 4 in = 0.33 ftCross-Sec Area of…

Q: The 140 g projectile is fired with a velocity of 600 m/s. The projectile then picks up three…

A:

Q: The jet is traveling at a speed of 500 mi/h, 30degrees with the horizontal If the fuel is being…

A:

Q: The gauge pressure of water at A is 150.5 kPa. Water flows through the pipe at A with a velocity of…

A: Gauge Pressure at A, PA=150.5 kPaVA=18 m/sdiameter of pipe, dA=50 mmdB=dC=35 mmρw=1000 kg/m3

Q: Sand is discharged from the silo at A at a rate of 46 kg/s with a vertical velocity of 10 m/s onto…

A:

Q: The 10-Mg jet plane has a constant speed of 860 km/h when it is flying horizontally. Air enters the…

A: Newton's second law states that the net force or sum of the external force acting on the object is…

Q: A rocket lifts off from Earth initially at a mass of 50,000 kg. If it burns 40,000 kg of fuel during…

A: Given:initial mass of the rocket, mi=50000 kgfuel burns, mf=40000 kgrate of fuel burns,…

Q: 3 m 6 m Determine the minimum initial velocity vo and the corresponding angle 0, at which the ball…

A:

Q: The missile weighs 47000 lb. The constant thrust provided by the turbojet engine is T = 18000 lb.…

A:

Q: Water flows through the pipe at A at 300 kg/s, and then out the double wye with an average velocity…

A: m˙A=300 kgsecρ=1000 kgm3vB=3 msecvC=2 msecdA=350 mm ,dB=250 mmdC=150 mm,dD=250 mm

Q: arry 300 kg of fuel and are capable of consuming it at a rate of 50 kg/s and eject it with a…

A: Write the equation for mass of the rocket. m=M+m0-qt Here, the rate of mass is q, the total mass of…

Q: The rocket is redesigned and a two stage booster is used. The payload weight is the same (40 kN).…

A: Given: The payload weight, W = 40 kN The weight of fuel, W' = 420 kN The fuel weight in stage 1, m1…

Q: The 145-g projectile is fired with a velocity of 580 m/s and picks up three washers, each with a…

A:

Q: The fire boat discharges two streams of seawater, each at a flow of 0.35 m^3 and with a nozzle…

A: Given data:- Flow rate = 0.35 m^3/s Velocity = 40 m/s Density of sea water = 1020 kg/m^3 Find the…

Q: The water jet discharging from the orifice with velocity Va equals 6.264 m/s, Determine the vertical…

A:

Q: The jet discharges water at a rate of 0.10 cu.m/s and at a speed of 18 m/s to the stationary plate.…

A: Force on stationary plate due to jet is given by the following formula, F=rho*A*V^2=rho*AV*V=rho*Q*V…

Q: The nozzle has a diameter of 40 mm. If it discharges water uniformly with a downward velocity of 20…

A: Data given - Diameter = 40 mm Vdownward = 20 m/s