Question

What is the force of gravity between Earth and the largest dam in the world. Use your equation for universal gravity for the constants.

Mass of the dam. = 3.4x1010kg

Mass of Earth. = 5.98x1024kg

Radius of Earth. = 6.38x106m

9.8

3.33x10-11 N

3.33x1011N

9.8N

Answer 1

`\huge\boxed{\sf F = 3.33* 10 ^(11) \ N}`

Step-by-step explanation:

Given Data:

`\sf Mass \ of \ the \ dam =m= 3.4 * 10^(10) kg\\\\Mass \ of \ Earth = M_(e) = 5.98 * 10^(24) kg\\\\Radius \ of \ Earth = r_(e) = 6.38*10^6 m\\\\Gravitational \ Constant = G = 6.67 * 10 ^(-11) Nm^2 / kg^2`

Required:

Force of gravity = F =?

Formula:

`\sf F = G(mM_(e))/(r^2)`

Solution:

`\sf F = (6.67*10^(-11))((3.4*10^(10)* 5.98 * 10^(24)))/((6.38*10^6)^2) \\\\F = (135.6* 10 ^(-11+10+24))/(40.7 * 10 ^(12)) \\\\F = (135.6 * 10^(23))/(40.7*10^(12)) \\\\F = 3.33 * 10 ^(23-12)\\\\F = 3.33* 10 ^(11) \ N\\\\\rule[225]{225}{2}`

Hope this helped!

~AH1807