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F=W+P

Mathematics Standards
Algebra
  Computational and Estimation
  Conceptual Underpinnings of Calculus
Mathematical Connections
Mathematics as Problem Solving
  Measurement

Science Standards
Physical Science
Science and Technology
Science as Inquiry
Unifying Concepts and Processes

F=W+P=mae
Rewriting yields P=mae-mg=m(ae- g).
If your mass is 60 kg and the elevator is accelerating upwards at 1 m/s2, your apparent weight is
P=60 kg (+1 m/s2-(-9.8 m/s2))=+648 kg m/s2 while your weight remains
W=mg=(60 kg)(-9.8 m/s2)=-588 kg m/s2.
If the elevator aceelerates downwards at 0.5 m/s2, your apparent weight is
P=60 kg (-0.5 m/s 2 -(-9.8 m/s 2 ))=+558 kg m/s2.

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Micro

Mathematics Standards
Mathematics as Communications
Mathematics as Reasoning

Science Standards
Science as Inquiry
Science in Personal and Social Perspectives
Unifying Concepts and Processes
1 micro-g or 1 µg = 1 x 10-6 g
Questions for Discussion
  • What other common prefixes or abbreviations for powers of ten do you know or can you find ?
  • In what everyday places do you see these used ?
    Grocery stores, farms, laboratories, sporting facilities, pharmacies, machine shops.
Common prefixes for powers of ten:
10-9     nano-     n
10-3     milli-     m
10-2     centi-     c
103     kilo-     k
106     mega-     M
109     giga-     G
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Example of Microgravity's Effects

Mathematics Standards
Algebra
  Computation and Estimation
  Conceptual Underpinnings of Calculus
  Discrete Mathematics
Mathematical Connections
Mathematics as Problem Solving
Mathematics as Reasoning
  Number and Number Relationships

Science Standards
Unifying Concepts and Processes

Calculate the times in these examples. Teachers can use these examples at several different scholastic levels.

Provide the equation as:
equation: t = square root of 2d over a

Provide the equation as d=(1/2) as t2, and have the students re-order the equation.

Making measurements and calculating results involve the concepts of accuracy and precision, significant figures, and orders of magnitude. With these concepts in mind, are the drop times given in the text "correct"?

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How Far Away Is The Moon?

Mathematics Standards
Algebra
  Computation and Estimation
Mathematical Connections
Mathematics as Reasoning
Mathematics as Problem Solving
  Measurement

Science Standards
Science and Technology
Science as Inquiry
Unifying Concepts and Processes

Questions for Discussion
  • How far away is the Mooon?
  • How far away is the center of Earth from the center of the Moon?
  • Why did we ask the previous question?
  • How far away is the surface of Earth from the surface of the Moon
  • What are the elevations of different features of Earth and the Moon?
  • How are elevations measured?
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