Concept explainers
The space shuttle fleet was designed with two booster stages.
- a. If the first stage provides a thrust of 5.25 mega-newtons [MN] and the space shuttle has a mass of 4,470,000 pound-mass [lbm], what is the acceleration of the spacecraft in miles per hour squared [mi/h2]?
- b. If the second stage provides a thrust of 75 kilo-newtons [kN] and the space shuttle has an acceleration of 15,000 miles per hour squared [mi/h2], what is the mass of the spacecraft in units of pounds-mass [lbm]?
a.
Calculate the acceleration of the spacecraft in miles per hour squared.
Answer to Problem 1ICA
The acceleration of the spacecraft in miles per hour squared is
Explanation of Solution
Given data:
The thrust provided in the first stage is 5.25 MN, and
Mass of the space shuttle is
Formula used:
Write the expression for force.
Here,
Calculation:
Consider the conversion factor to convert MN to N.
Consider the above conversion factor to convert 5.25 MN to N.
Consider the conversion factor to convert
Consider the above conversion factor to convert
Rearrange equation (1) to solve for the acceleration ‘a’.
Substitute
Consider the conversion factor to convert
Consider the above conversion factor and convert the value
Conclusion:
Hence, the acceleration of the spacecraft in term of miles per hour squared is
b.
Calculate the mass of the spacecraft in units of pounds mass.
Answer to Problem 1ICA
The mass of the spacecraft in pounds is
Explanation of Solution
Given data:
The thrust provided in the second stage is 75 kN, and
Acceleration of the space shuttle is
Calculation:
Consider the conversion factor to convert kN to N.
Consider the above conversion factor to convert 75 kN to N.
Consider the conversion factor to convert
Consider the above conversion factor to convert
Rearrange equation (1) to solve for m.
Substitute
Consider the conversion factor to convert kg to
Consider the above conversion factor and convert the value 40,267.37 kg to
Conclusion:
Hence, the mass of the spacecraft in the units of pounds is
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