Using the website: http://www.joshworth.com/dev/pixelspace/pixelspace_solarsystem.html, it was estimated that the distance from the Earth’s surface to the Moon’s surface is 365,000 km.  Convert the estimated distance to miles.  The website link is only for reference, you do not need to use it during this lab. The actual average* distance from the Earth's surface to the Moon's surface is 233,815 miles.  What was the percentage error of the estimate?  "Percentage error" is simply the percent change between the actual value and the estimate.Enter your answer as a percentage, rounded to two decimal places, with a negative value if the estimate was too small, and a positive value if the estimate was too large.  *This is only an average and changes throughout the month because the moon's orbit is not a perfect circle but is an ellipse (oval).   3.To successfully escape a planet's gravity, a space ship must achieve escape velocity, which for Earth is 11.2 km/s or 25,054 miles per hour.  If a ship reaches this speed and maintains it, then neglecting the need to slow down prior to landing, how long would it take the ship to reach the Moon?  Use the actual distance to the Moon of 233,815 miles and give your answer in hours.   4.The average distance from Earth to everyone's favorite dwarf planet, Pluto, is 3.27 billion miles.  At the speed of 25,054 miles per hour, how long would it take to reach Pluto? Give your answer in years.    5.Space travel is expensive!  For their trip to the Moon, the Apollo astronauts' living quarters were only 213 cubic feet (that's smaller than a typical small bathroom in a house).  How many dollar bills could fit in there?   A dollar bill's dimensions are: length: 6.14 inches, width: 2.61 inches, thickness: 0.0043 inches   6.The current US debt as of 8/23/21 was about $28.7 trillion.  Calculate how far a stack of dollar bills in this amount would reach in miles. Assume the dollar bills are being stacked laying flat. show your work. Make sure to include units in your work   7.The current US debt as of 8/31/20 was about $26.7 trillion. Using the distance you found in the previous questions, would a stack of dollar bills in the amount of the U.S. national debt reach from the Earth to the Moon?   8.Pluto has been hard to measure from Earth because of its atmosphere.  In 2007 Young, Young, and Buie measured Pluto as having a diameter of 2322 km.  In 2015 the New Horizons probe reached Pluto and measured it up close and we now know the actual diameter is 2372 km.  What was the percent error of the 2007 measurement? Enter your answer as a percent, with a negative value if the 2007 measurement was too small and a positive value if it was too large.   9.Visit the website http://www.exploratorium.edu/ronh/weight If a person weighs 140 lb on the Earth, how much do they weigh on the Moon?  How much on Pluto? Choose both correct answers below. a) Moon weight: 23.2 lb b) Moon weight: 3.7 lb c) Moon weight: 54.1 lb d) Pluto weight: 5.2 lb e) Pluto weight: 9.3 lb f) Pluto weight: 13.2 lb

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Topic Video
Question

 

  1. Using the website: http://www.joshworth.com/dev/pixelspace/pixelspace_solarsystem.html, it was estimated that the distance from the Earth’s surface to the Moon’s surface is 365,000 km.  Convert the estimated distance to miles.  The website link is only for reference, you do not need to use it during this lab.
  2. The actual average* distance from the Earth's surface to the Moon's surface is 233,815 miles.  What was the percentage error of the estimate?  "Percentage error" is simply the percent change between the actual value and the estimate.Enter your answer as a percentage, rounded to two decimal places, with a negative value if the estimate was too small, and a positive value if the estimate was too large. 

*This is only an average and changes throughout the month because the moon's orbit is not a perfect circle but is an ellipse (oval).

 

3.To successfully escape a planet's gravity, a space ship must achieve escape velocity, which for Earth is 11.2 km/s or 25,054 miles per hour.  If a ship reaches this speed and maintains it, then neglecting the need to slow down prior to landing, how long would it take the ship to reach the Moon?  Use the actual distance to the Moon of 233,815 miles and give your answer in hours.

 

4.The average distance from Earth to everyone's favorite dwarf planet, Pluto, is 3.27 billion miles.  At the speed of 25,054 miles per hour, how long would it take to reach Pluto? Give your answer in years. 

 

5.Space travel is expensive!  For their trip to the Moon, the Apollo astronauts' living quarters were only 213 cubic feet (that's smaller than a typical small bathroom in a house).  How many dollar bills could fit in there?

 

A dollar bill's dimensions are: length: 6.14 inches, width: 2.61 inches, thickness: 0.0043 inches

 

6.The current US debt as of 8/23/21 was about $28.7 trillion.  Calculate how far a stack of dollar bills in this amount would reach in miles. Assume the dollar bills are being stacked laying flat. show your work. Make sure to include units in your work

 

7.The current US debt as of 8/31/20 was about $26.7 trillion. Using the distance you found in the previous questions, would a stack of dollar bills in the amount of the U.S. national debt reach from the Earth to the Moon?

 

8.Pluto has been hard to measure from Earth because of its atmosphere.  In 2007 Young, Young, and Buie measured Pluto as having a diameter of 2322 km.  In 2015 the New Horizons probe reached Pluto and measured it up close and we now know the actual diameter is 2372 km.  What was the percent error of the 2007 measurement? Enter your answer as a percent, with a negative value if the 2007 measurement was too small and a positive value if it was too large.

 

9.Visit the website http://www.exploratorium.edu/ronh/weight

If a person weighs 140 lb on the Earth, how much do they weigh on the Moon?  How much on Pluto? Choose both correct answers below.

a) Moon weight: 23.2 lb

b) Moon weight: 3.7 lb

c) Moon weight: 54.1 lb

d) Pluto weight: 5.2 lb

e) Pluto weight: 9.3 lb

f) Pluto weight: 13.2 lb

 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,