Ask questions and get helpful answers.
Ask a New Question
  1. Questions
  2. Math

Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr^-2 , where C is a constant, and r is the distance that the object is from the center of Earth.

a.Solve the equation w=Cr^-2 for r. The answer I came up with is r^-2=w/C: is this correct?
And would you please help me with b?
b.Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
Thank you!

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
ASD
4 answers

  1. Ok, I went back and tried again. The equation I found when solving for r is r=sqrt(C/w)
    Is this correct?
    Then in b I would plug in the 100 for w, and the 3,963 for r to find the constant, C, correct?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    ASD

  2. a is correct.

    C = w/r^-2

    w = 100

    r = 1/(3963)^2

    Solve for C.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    PsyDAG

  3. So would my equation be C=100/(3963)^2 ...I'm confused

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    ASD

  5. Please let me know if I did this correct for b...
    100=C/(3,963)^2
    100=C/15,705,369
    100*C=(C/15,705,369)*C
    100C=15,705,369
    100C/100=15,705,369/100
    C=157,053.69

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    ASD

Answer this Question

Related Questions

  1. Language arts

    You are unable to lift an object. which property makes the object difficult to lift A mass b density c volume d weight

  2. Science

    You are unable to lift an object. Which property makes the object difficult to lift?(1 point) volume density weight mass If you answer this thank you for helpinggg :')

  3. Science

    1.) Why was the geocentric model accepted for more than a thousand years?(1 point) > It correctly explained the distribution of the stars. > It was confirmed by astronomers using telescopes. > It correctly described the solar system. > It correctly

  4. INTRO TO PLANET EARTH

    ....Unit 2 Which type of eclipse would you expect to see if the moon passes directly between Earth and the Sun A. A solar Eclipse B. a lunar eclipse C. a total lunar eclipse D. a penumbra Which of the following happens during a lunar eclipse? A.a lunar

  5. psy

    Surveys show that people who use calorie information to decide which foods to eat consume on average 100 calories less than they would if they didn’t check calorie information before eating. Strangely though, people who use calorie information in this

  6. calculus

    Suppose the following about a certain object: I. The object's altitude is a function of time, represented by the function A(x) where here x is time. II. The temperature of the object is a function of its velocity, represented by the function T(x), where

  7. science

    is it possible for an object's weight to change while it's mass remains constant?

  8. math

    To find the weight of the gold in a 22 karat gold object, multiply the object's weight by 0.917. To find the weight of the gold in an 18 karat gold object, multiply the object's weight by 0.583. A 22 karat gold statue and a 14 karat gold statue both weigh

  9. Science

    what is the difference between mass and weight? The mass of an object is the amount of matter it contains, while its weight is a measurement of the force that gravity exerts on it. The mass of an object is always less than the weight of an object. The mass

  10. science

    You are unable to lift an object. Which property makes the object difficult to lift?(1 point) mass density weight volume

Still need help?

You can ask a new question or browse existing questions.