. A rocket has a total mass of 100000 kg which includes a mass of fuel of 10000
ID: 1502547 • Letter: #
Question
. A rocket has a total mass of 100000 kg which includes a mass of fuel of 10000 kg. The rocket blasts off from Earth and exhausts all of its fuel in 4.00 minutes, expelling the fuel at a rate of 4500 m/s. a) Calculate the thrust of the rocket. b) Determine the initial acceleration of the rocket. c) What is the acceleration when half the fuel has been used? Assume that g does not change significantly over time. . A rocket has a total mass of 100000 kg which includes a mass of fuel of 10000 kg. The rocket blasts off from Earth and exhausts all of its fuel in 4.00 minutes, expelling the fuel at a rate of 4500 m/s. a) Calculate the thrust of the rocket. b) Determine the initial acceleration of the rocket. c) What is the acceleration when half the fuel has been used? Assume that g does not change significantly over time. . A rocket has a total mass of 100000 kg which includes a mass of fuel of 10000 kg. The rocket blasts off from Earth and exhausts all of its fuel in 4.00 minutes, expelling the fuel at a rate of 4500 m/s. a) Calculate the thrust of the rocket. b) Determine the initial acceleration of the rocket. c) What is the acceleration when half the fuel has been used? Assume that g does not change significantly over time.Explanation / Answer
a) Thrust, F = [v(dm/dt)]fuel = 4500 * [10000 / (4 * 60)] = 187500 N
b) Initial acceleration, ao = F/mo = 187500 / (100000 + 10000) = 1.70 m/s2
c) a = 187500 / (100000 + 5000) = 1.79 m/s2
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