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Problem 3. Consider a rocket with total initial mass m Exactly half of m is fuel,...
39. Rocket Motion Suppose a small single-stage rocket of total mass m) is launched vertically, th...
I'd question 40 please.
39. Rocket Motion Suppose a small single-stage rocket of total mass m) is launched vertically, the positive direction is upward, the air resistance is linear, and the rocket consumes its fuel at a constant rate. In Problem 22 of Exercises 1.3 you were asked to use Newton's second law of motion in the form given in (17) of that exercise set to show that a mathematical model for the velocity v(t) of the rocket is given...
A small sounding rocket has an initial mass of M=3200kg (80% of which is fuel) and...
A small sounding rocket has an initial mass of M=3200kg (80% of which is fuel) and burns fuel at a rate of 20 kg/s. The exhaust velocity of the gas ejected from the rocket is Uex=2000m/s. a. Find the thrust of the rocket motor. b. Find the time until burnout. c. Find the speed of the rocket at burnout assuming that the rocket moves straight up and stays close enough to Earth's surface that the gravitational acceleration is always g=9.81m/s^2
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the...
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...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a ...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the...
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...
10: A rocket accelerates upward by burning its onboard fuel, so its mass decreases with time....
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...
2-1): The upward velocity of a rocket can be computed be the following formula: mo mo - qt where ...
Please show all your steps and
calculations.
2-1): The upward velocity of a rocket can be computed be the following formula: mo mo - qt where v upward velocity (m/s), u velocity at which fuel is expelled relative to the rocket (m/s), mo- initial mass of the rocket at time t 0s (kg), q -fuel consumption rate (kg/s), and g downward acceleration of gravity (assumed constant 9.81 m/s2). If u 1850 m/s, mo 160,000 kg, and q 2500 kg/s. a)...
MATLAB WORK PLEASE The upward velocity of a rocket can be computed from the following formula:...
MATLAB WORK PLEASE
The upward velocity of a rocket can be computed from the following formula: v=u* In mo -91 mo-91 where v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, me = the initial mass of the rocket at time t=0,9 = the fuel consumption rate, and g = the acceleration due to gravity. Compute the time tro at which v reaches an arbitrary value using the bisection method. Use the...
A rocket has an initial mass of 29500 kg, of which 20% is the payload (i.e.,...
A rocket has an initial mass of 29500 kg, of which 20% is the payload (i.e., the mass of the rocket minus the fuel). It burns fuel at a rate of 190 kg/s and exhausts its gas at a relative speed of 2.5km/s. (a) Find the thrust of the rocket. kN (b) Find the time until burnout. s (c) Find its final speed assuming it moves upward near the surface of the earth where the gravitational field g is constant....
A model rocket is launched straight upward with an initial speed of 50.4 m/s. It accelerates...
A model rocket is launched straight upward with an initial speed of 50.4 m/s. It accelerates with a constant upward acceleration of 2.02 m/s? until its engines stop at an altitude of 154 m What is the maximum height reached by the rocket? Submit Answer Tries 5/8 Previous Tries How long after lift off does the rocket reach its maximum height? Submit Answer Tries 0/8 How long is the rocket in the air? 12 s Subemit Answer Submission not graded....
I'd question 40 please.
39. Rocket Motion Suppose a small single-stage rocket of total mass m) is launched vertically, the positive direction is upward, the air resistance is linear, and the rocket consumes its fuel at a constant rate. In Problem 22 of Exercises 1.3 you were asked to use Newton's second law of motion in the form given in (17) of that exercise set to show that a mathematical model for the velocity v(t) of the rocket is given...
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...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
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...
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...
Please show all your steps and
calculations.
2-1): The upward velocity of a rocket can be computed be the following formula: mo mo - qt where v upward velocity (m/s), u velocity at which fuel is expelled relative to the rocket (m/s), mo- initial mass of the rocket at time t 0s (kg), q -fuel consumption rate (kg/s), and g downward acceleration of gravity (assumed constant 9.81 m/s2). If u 1850 m/s, mo 160,000 kg, and q 2500 kg/s. a)...
MATLAB WORK PLEASE
The upward velocity of a rocket can be computed from the following formula: v=u* In mo -91 mo-91 where v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, me = the initial mass of the rocket at time t=0,9 = the fuel consumption rate, and g = the acceleration due to gravity. Compute the time tro at which v reaches an arbitrary value using the bisection method. Use the...
A model rocket is launched straight upward with an initial speed of 50.4 m/s. It accelerates with a constant upward acceleration of 2.02 m/s? until its engines stop at an altitude of 154 m What is the maximum height reached by the rocket? Submit Answer Tries 5/8 Previous Tries How long after lift off does the rocket reach its maximum height? Submit Answer Tries 0/8 How long is the rocket in the air? 12 s Subemit Answer Submission not graded....
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