Thrust 6.05MN, mass 4,520,000 lbm, what is the acceleration?

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SUMMARY

The discussion focuses on calculating the acceleration of a spacecraft given a thrust of 6.05 mega-Newtons (MN) and a mass of 4,520,000 pound-mass (lbm). Using the formula F=ma, the thrust is converted to 6.05x10^6 N and the mass to 2049886.621 kg. The acceleration is derived in meters per second squared (m/s²) and requires conversion to miles per hour squared (mi/h²) for the final result. The key challenge is the conversion process from Newtons and kilograms to the desired units.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of unit conversions between metric and imperial systems
  • Familiarity with basic physics concepts related to force and mass
  • Ability to perform dimensional analysis for unit conversion
NEXT STEPS
  • Learn about unit conversion techniques for force and mass
  • Study the application of Newton's Second Law in different unit systems
  • Explore detailed examples of converting acceleration from m/s² to mi/h²
  • Investigate the implications of thrust-to-weight ratio in spacecraft dynamics
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Aerospace engineers, physics students, and anyone involved in spacecraft design and dynamics will benefit from this discussion.

dani546237
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if the first stage provides a thrust of 6.05 mega-Newtons [MN] and the space shuttle has a mass of 4,520,000 pound-mass [lb Subscript m], what is the acceleration of the spacecraft in miles per hour squared [mi divided by h squared]?
Equation: F=ma
conversions:
1000m=0.621mi
3600s=1 hour
I'm aware of these conversions but I'm not sure what's the next step to at least approach this conversion
So I am using the formula F=ma
after converting I plugged it into F=ma equation

attempted at the problem:
I converted to 6.05x10^6N= 2049886.621kg x acceleration
I'm not sure how to find the acceleration since all I have in N and kg but I need mi/h^2
 
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If the force is in Newtons and the mass in kilograms, then F/m gives you the acceleration in m/s2. You will have to convert that to mi/h2.
 

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