1. Questions

Physics

I've been stuck on this equation for a while and I don't know if i'm missing a key part to the equation.. i just need help!

If the gravitational field strength at the top of Mount Everest is 9.772 N/kg, approximately how tall (in feet) is the mountain?

F= g ( m1 x m2)/ radius^2

f= gravitational force
g= 6.67x10^-11
m= mass
d= radius^2
earth mass= 5.98x10^24
earth radius = 6.38x10^6

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Larry

  1. You know that at sea level

    GM/r^2 = 9.8

    Since G and M don't change, at radius R at the mountain top,

    GM/R^2 = 9.772

    so, R^2/r^2 = 9.8/9.772 = 1.0028653
    R = 1.0014316r
    R-r = 0.0014316r = 9134m

    That seems a bit high. Better check my math.

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

  2. The actual height of Everest is 8848 m. Your number is close, and you used the right method. The difference is probably due to the use of too few significant figures for G(or GM/r^2).

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

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    what is the missing value to the nearest hundredth? tan [] = 12 I really need some help. I don't understand this :(

  2. Converting Cartesian Equations to Polar Equations

    Convert the Cartesian equation x^2 - y^2 = 16 to a polar equation. r² = 16/cos2è r = -4 r² = 8 help please im stuck between 2 answers.

  3. maths

    find the missing value to the nearest hundredth Tan ___ = 73 I just don't get these!

  4. Chemical Formulas and Reactions

    When aqueous copper(II)chloride reacts with aqueous ammonium phosphate, soluble ammonium chloride forms and copper(II) phosphate precipitates out of solution. 1. Write the balanced molecular equationfor this reaction. 2. Write the

  1. Algebra

    (Note): Hello! I am really stuck on this problem and am trying to figure out how to solve it! I don't want the answer, I just want to know how to solve an equation like this: Consider a sequence whose first five terms are: -1.75,

  2. Physics

    A 1300 kg car is traveling along a straight road at 20 m/s. Two seconds later its speed is 24 m/s. What is the magnitude of the net force acting on the car during this time? I don't know what equation to use, and I keep getting

  3. Chemistry

    When iron metal reacts with oxygen, the reaction can form Fe2o3 (numbers are subscripts). Write a balanced chemical equation for this reaction and find the number of moles of oxygen that are needed to form 6 mol of Fe2o3. Show

  4. Parabola

    A parabola has been drawn on a graph but there is information missing. The equation has not been written on the curve. It has a minimum turning point, a y intercept of +6 and cuts the x-axis at +2 and +# Determine the equation to

  1. Calculus

    Find an equation of the line through the point (3,5) that cuts off the least area from the first quadrant. How do I solve? I am stuck. The only thing I can come with is this: y-5=m(x-3) How to use this I don't know.

  2. Chemistry

    CO + 2*H2 --> CH3OH How many moles of each reactant are needed to produce 3.60 x 10^2g CH3OH? I appreciate anyone who helps me with this. Also, please say the steps on how you got your answer. Balance the equation. I think it is

  3. Precalculus

    sin^2(2x)=2sinxcosx. Find all solutions to each equation in the interval [0, 2pi) So I started off changing 2sinxcosx = sin(2x), and my equation ended as sin^2(2x) = sin(2x). I subtracted sin(2x) by both sides and factored out

  4. Math - Limits/Derivatives

    If a price-demand equation is solved for p, then price is expressed as p = g(x) and x becomes the independent variable. In this case, it can be shown that the elasticity of demand is given by E(x) = - [g(x) / xg'(x)]. Use the

View more similar questions or ask a new question.