physics

In 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. Suppose the building had been constructed. Ignoring Earth's rotation, find the change in your weight if you were to ride an elevator from the street level, where you weigh 532 N, to the top of the building.

  1. 👍
  2. 👎
  3. 👁
  1. Use the inverse square law. You will need to look up the radius of the earth. It is about 3960 miles, as I recall. Square the ratio of the the distances to the center of the Earth at the top and the bottom of the building. Use that factor to compute the weight at the top, and the change. The weight there will be less.

    1. 👍
    2. 👎
  2. Welcome back, DrWLS!

    1. 👍
    2. 👎
    👤
    Ms. Sue
  3. At the ground level

    weigh = 532 N

    W = m*g

    at ground g = 9.81 m/sec^2

    mass = 532/9.81 = 54.2303 kg

    Now at top of the building gravitational accleration will be

    g = GM/r^2

    so gravitational acceleration is inversely proportional to r^2

    g'/g = r^2/r'^2

    r = Re = 6.371*10^6 m

    1 mile = 1609.34 m

    g' = g*(Re/(Re + h))^2

    g' = 9.81*(6.371*10^6/(1609.34 + 6.371*10^6))

    g' = 9.8075 m/sec^2

    your weight will be

    W' = m*g'

    W' = 54.2303*9.8075

    W' = 531.8636 N

    Change in weight = 532 - 531.8636

    Change in weight = 0.1364 N

    CAN ANY ONE HELP WHERE DID I GO WRONG??? BECAUSE IT SAYS THE ANS IS INCORRECT

    1. 👍
    2. 👎
  4. W = k/r^2
    dW/dr = -2kr/r^4

    dW = - 2 k dr /r^3
    ====================
    532 N = k / 3959^2
    so
    k = 532 (3959)^2

    so
    dW=-2 * [532 * 3959^2]* 1/3959^3

    dW = -.2687

    1. 👍
    2. 👎
  5. I believe that is indeed Dr WLS ! To be sure, how did we get to Nova Scotia and back ?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A ball is thrown horizontally at 12.2 m/s from the roof of a building and lands 21.0 m from the base of the building. How high is the building?

  2. Art 7

    1.An art historian notices that two neighboring cultures use a similar style when sculpting horses. This is likely an example of A. Shares interests in the equine form B. Baroque style C. Cultural exchange D. Orientalizing Style

  3. Math

    From the top of a 200 metres high building, the angle of depression to the bottom of a second building is 20°. From the same point, the angle of elevation to the top of the second building is 10°. Calculate the height of the

  4. Trigonometry

    A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 80∘. How high does the ladder reach on the building? I did 19sin(80) to get me 18.76847847 for how high the ladder reach on the

  1. Phisycs

    Lake Point Tower in Chicago is the tallest apartment building in the United States (although not the tallest building in which there are apartments).Suppose you take the elevator from street level to the roof of the building.The

  2. Physics

    A ball thrown horizontally at 21m/s from the roof of a building lands 24m from the base of the building. Now high is the building?

  3. Math

    A person walks on the building.He slips 1m for every 5m he climbs. If the building is 53m high and he takes 5 seconds to climb 1m. Find the total time taken by him to get on the top of the building.

  4. Trigonometry

    A building is 50 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41 degrees. How far is the observer from the base of the building?

  1. Math Help Please!!!!

    Which type of angle do construction workers use when building to make sure that the walls and floors of a building are perpendicular?

  2. Trigonometry (Math)

    A ladder 42 feet long is place so that it will reach a window 30 feet high (first building) on one side of a street; if it is turned over, its foot being held in position, it will reach a window 2o5 feet high (second building) on

  3. Language arts

    Read the sentence below about the Chicago fire of 1871. Many people tried very hard to save the building of the Chicago Tribune. Which revision is the best example of adding concrete detail? A. Many people tried very hard for a

  4. U.S. History

    How did the location of Chicago influence its development? A: Chicago was located near a major port and a conduit for the nation's east-west rail travel, providing residents with job opportunities. These job opportunities caused

You can view more similar questions or ask a new question.