math

posted by .

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 be 50 pounds

  • math -

    mass = k/d^2
    when mass = 500, d = 12000
    500 = k/12000^2
    k = 500(12000)^2

    so
    50 = 500(12000)^2 /d^2

    50 d^2 = 500(12000)^2
    d^2 = 10(12000)^2
    d = 12000√10 miles

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. precalculus

    The acceleration acting on a falling object due to gravity varies inversely with the square of the object's distance from the center of Earth. At the surface of Earth, where x = 1 Earth radius, the acceleration is y = 9.8 m/s2 1. Use …
  2. Algebra

    The gravitational force between an object & the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 210 lbs on the surface of the Earth, what will he weigh …
  3. Physics

    In mathematical language, Newton's Law of Gravity expresses the force of gravity, F, between two objects in the following way: F= (GMm)/r^2 where M is the mass of one object, m is the mass of the other object, r is the distance between …
  4. 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?
  5. Algebra II

    The force of attraction between the earth and some object is called the weight of that object. The law of gravitation states, then, that the weight of an object is inversely proportional to the square of its distance from the center …
  6. Algebra II

    The force of attraction between the earth and some object is called the weight of that object. The law of gravitation states, then, that the weight of an object is inversely proportional to the square of its distance from the center …
  7. 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 center),determine …
  8. 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 center),determine …
  9. calculus

    the weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. if a person weighs 180 pounds on the surface of the earth and the radius of the …
  10. 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 …

More Similar Questions