The NASA Space Launch System rocket that will carry the Artemis mission to the Moon travels 500 feet (152 m) straight up in the first 7 seconds of flight. It weighs 5.75 million pounds (mass of 2.61e6 kg). In this problem, we'll calculate the total force the rockets are providing. The numbers will be randomized slightly. Since the rocket is using fuel, the question is an approximation anyway. 2.26E+6 kg? Assume g = 9.8 m/s². What is the weight of the rocket, if its mass N At launch, the rocket travels upwards at an acceleration of 7.35 m/s². This tells us that it must be acted on by a net force of 1.66E+7 N. If that is the net upward force, what is the total upward force provided by the engines? N

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The NASA Space Launch System rocket that will carry the Artemis mission to the Moon travels 500 feet (152 m) straight up in the first 7 seconds of flight. It weighs 5.75 million pounds (mass of 2.61e6 kg).
In this problem, we'll calculate the total force the rockets are providing. The numbers will be randomized slightly. Since the rocket is using fuel, the question is an approximation anyway.
What is the weight of the rocket, if its mass is 2.26E+6 kg? Assume g = 9.8 m/s².
N
At launch, the rocket travels upwards at an acceleration of 7.35 m/s². This tells us that it must be acted on by a net force of 1.66E+7 N. If that is the net upward force, what is the total upward force provided by the engines?
N
(For all answers, just enter the amount as positive number: DO NOT use + or - to indicate up and down. You will need to consider the direction to decide whether to add or subtract forces in determining your answer, though.)
Transcribed Image Text:The NASA Space Launch System rocket that will carry the Artemis mission to the Moon travels 500 feet (152 m) straight up in the first 7 seconds of flight. It weighs 5.75 million pounds (mass of 2.61e6 kg). In this problem, we'll calculate the total force the rockets are providing. The numbers will be randomized slightly. Since the rocket is using fuel, the question is an approximation anyway. What is the weight of the rocket, if its mass is 2.26E+6 kg? Assume g = 9.8 m/s². N At launch, the rocket travels upwards at an acceleration of 7.35 m/s². This tells us that it must be acted on by a net force of 1.66E+7 N. If that is the net upward force, what is the total upward force provided by the engines? N (For all answers, just enter the amount as positive number: DO NOT use + or - to indicate up and down. You will need to consider the direction to decide whether to add or subtract forces in determining your answer, though.)
Expert Solution
Step 1

Given:

The mass of the rocket is m = 2.26 x 106 kg

The rocket travels straight up for t = 7 seconds, up to the distance h = 152 m

The acceleration due to gravity is g = 9.8 m/s2

The acceleration of the rocket is a = 7.35 m/s2

The net upward force of the rocket is Fnet = 7.35  m/s2

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