NASA's Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 ✕ 106 N of thrust while burning fuel at a rate of 2.63 ✕ 103 kg/s. Calculate the engine's exhaust speed (in m/s).
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NASA's Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 ✕ 106 N of thrust while burning fuel at a rate of 2.63 ✕ 103 kg/s. Calculate the engine's exhaust speed (in m/s).
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- A firefighter directs a horizontal stream of water toward a fire at an angle of 40° measured from the horizontal. The fire hydrant and hose deliver 93 gallons per minute (1 gal/min = 6.31 ⨯ 10−5 m3/s), and the nozzle projects the water with a speed of 8.3 m/s. How much horizontal force must the firefighter exert on the hose to keep it stationary?A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 86.2 × 105 kg, of which 14.7 × 105 kg is fuel. The rocket engine is then fired for 180 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 2.98 km/s. (a) What is the rocket's thrust? After the 180 s firing, what are (b) the mass and (c) the speed of the rocket?NASA's Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 ✕ 106 N of thrust while burning fuel at a rate of 2.63 ✕ 103 kg/s. Calculate the engine's exhaust speed (in m/s). HINT m/s
- A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 75.8 x 105 kg, of which 15.3 × 105 kg is fuel. The rocket engine is then fired for 410 s, during which fuel is consumed at the rate of 390 kg/s. The speed of the exhaust products relative to the rocket is 2.81 km/s. (a) What is the rocket's thrust? After the 410 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number i Units (c) Number i UnitsA rocket has an exhaust speed of 3.0 × 103 m/s, and produces 9.5 × 105 N of instantaneous thrust. What mass of fuel does the rocket burn each second?Radical Albertan separatists are driving a tank at a constant speed of 10 m/s up a 45 degree mountain slope, in a vain attempt to invade British Columbia. Pursued by the Mounties, the tank fires a 10 kg watermelon, with muzzle velocity 25 m/s, back along its path. Ignore the distance from the muzzle to the slope. If the gun barrel is pointed 20 degrees above the horizontal as shown, how far is the melon from the tank (which keeps moving) when it finally strikes the slope below? Answer in m.
- A girl launches a toy rocket from the ground. The engine experiences an average thrust of 5.26 N. The mass of the engine plus fuel before liftoff is 24.9 g, which includes fuel mass of 12.7 g. The engine fires for a total of 1.90 s. (Assume all the fuel is consumed.) (a) Calculate the average exhaust speed of the engine (in m/s). m/s (b) This engine is positioned in a rocket shell mass 42.5 g. What is the magnitude of the final velocity of the rocket (in m/s) if it were to be fired from rest in outer space with the same amount of fuel? Assume the fuel burns at a constant rate. m/sA rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 72.9 x 105 kg, of which 14.7 x 10° kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 360 kg/s. The speed of the exhaust products relative to the rocket is 3.82 km/s. (a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number Units (c) Number i UnitsThe Merlin rocket engines developed by SpaceX can produce 7.12 ✕ 105 N of instantaneous thrust with an exhaust speed of 3.05 ✕ 103 m/s in vacuum. What mass of fuel does the engine burn each second to produce this thrust? (Enter your answer in kg/s.)
- A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 78.4 × 105 kg, of which 8.68 × 105 kg is fuel. The rocket engine is then fired for 340 s, during which fuel is consumed at the rate of 340 kg/s. The speed of the exhaust products relative to the rocket is 3.78 km/s. (a) What is the rocket's thrust? After the 340 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number 1290000 Units N (b) Number 7720000 Units kg (c) Number 3830 Units m/sThe Merlin rocket engines developed by SpaceX can produce 7.44 x 105 N of instantaneous thrust with exhaust speed of 3.05 x 10³ m/s in vacuum. What mass of fuel does the engine burn each second to produce this thrust? (Enter your answer in kg/s.) HINT kg/sI got 14.24 m/s and 4.75 m/s but it's wrong.