Model rocket engines are sized by thrust, thrust duration, and total impulse, among other characteristics. A size C5 model rocket engine has an average thrust of 5.26N, a fuel mass of 12.7 g, and an initial mass of 25.5 g. The duration of its burn is 1.90 s.(a) What is the average exhaust speed of the engine?1 m/s(b) If this engine is placed in a rocket body of mass 55.5 g, and if the rocket is fired in outer space,...
PLEASE SHOW YOUR WORK A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.4 g, which includes fuel mass of 12.5 g. The duration consumed.) of its burn is 1.90 s. (Assume all the fuel is (a) What is the average exhaust speed of the engine? m/s (b) This engine is placed in a rocket body of mass 44.5 spacewalk? Assume the fuel burns at a constant rate. g. What is the...
QB: The Rocket Equation The velocity of a rocket t seconds after liftoff from earth can be modeled by v(t) = -g*t - v_e * Ln( (m-r*t)/m ) where g = 9.8 m/s^2, the usual earth gravity value, v_e = exhaust velocity, 3000 m/s (the e here isn't related to 2.71828...) m = initial mass of the rocket+fuel: 30,000 kg r = rate of using fuel = 160 kg/s i) Find a formula for the acceleration function a(t) and graph...
A rocket that is in deep space and initially at rest relative to an inertial reference frame has a mass of 2.80 105 kg, of which 1.92 105 kg is fuel. The rocket engine is then fired for 250 s while fuel is consumed at the rate of 480 kg/s. The speed of the exhaust product relative to the rocket is 3.21 km/s. (a) What is the rocket's thrust? N (b) What is the mass of the rocket after the...
UPS 2007/2008 (Q3b) 2 60° 30° V2 FIGURE 3 A homemade rocket is moving at a speed of 45 ms. The rocket breaks into two pieces of equal mass which fly off with velocities, v, and v2, as shown in FIGURE 3. Calculate the magnitude of vi, and v (Neglect the effect of gravity) [6 marks] Ans : 44.41 m s1, 77.92 m s']
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, thefuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t isgiven by the equation below where g is the acceleration due to gravity and t is not too large. If g...
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation m- rt where g is the acceleration due to gravity and t is not too...
10: A rocket accelerates upward by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket in meters per second after t seconds is given by the equation r(t)--gt-ve In (mmrt) where g is the acceleration due...
on a streamline. What is the average acceleration over the distance? 2. Exhaust gases of specific weight equal to 3.476 N/m", escapes from a rocket engine through a 14.0 cm diameter nozzle after complete combustion of a mixture of 9.0 kg/s of liquid oxygen and 3.0 kg/s of liquid fuel that enters the engine. What is the exhaust gas velocity?
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity v_e (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation v(t) = -gt - v_e ln m - rt/m where g is the acceleration due...