Algebra II

The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 4000 mi, how much would a 200 lb man weigh 1000 mi above the surface of the earth?

  1. 👍 0
  2. 👎 0
  3. 👁 235
asked by MJ
  1. w = k(1/d^2)

    when d = 4000 , w = 200
    200 = k(1/16000000)
    k = 200(16000000)

    when d = 5000
    w = 200(16000000)/5000^2 = 128

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface of the earth(3960 miles from the

    asked by shae on October 22, 2013
  2. algebra

    the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface of the earth(3960 miles from the

    asked by shae on October 22, 2013
  3. Math

    The weight W of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 mi from the center of the earth), an astronaut weights is 110lb. Find her weight when she is 459 mi above

    asked by Miranda on May 12, 2009
  4. math

    the force of gravity varies inversely as the square of the distance between the centers of the two masses. If an object weighs 500 pounds at a distance of 12,000 miles from the center of the earth, at what distance will the weight

    asked by Mako on August 19, 2012
  5. Math

    The weight w of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 miles from the center of the earth), an astronaut weighs 110 pounds. Find her weight when she is 139 miles

    asked by Stacy on September 24, 2014
  6. Math help

    9). Hooke’s Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 29 cm when the weight is 4 kg what is the distance when the weight is 9 kg? 10).

    asked by jim on May 28, 2010
  7. algebra

    the weight of an object varies inversely as the square of its distance from the center of the planet it is on. If a person weighs 180 pounds on a planet's surface, what is his weight 250 miles above the surface of the planet? The

    asked by tashea on October 13, 2011
  8. maths

    body of weight is inversely propotional to square of its distance from center of earth,radius of the earth is 6380 km, how much 80 kg man weigh 1600 km from the surface of earth

    asked by Anonymous on February 16, 2014
  9. maths

    The Weight of an object varies inversely as the square of its distance from the centre of the earth.the weight of a spacecraft is observed to be only a quater of its weight on earth.How far is the spacecraft from the surface of

    asked by ashong benjamin on July 28, 2015
  10. maths

    The weight of an object varies inversely as the square of its distance from the centre of the earth. The weight of an aeroplane is observed to be only 4/9 of its weight on earth. How far is the aeroplane from the surface of the

    asked by Agbozo on May 2, 2019

More Similar Questions