Answer :
The constant c in terms of R is [tex]\( c = \frac{218}{R^2} \)[/tex].
The formula given for the weight of a man is w = cd-2 where w is the weight in pounds, d is the distance from the center of the Earth, and c is a constant. We are also told that the radius of the Earth is denoted by R and the man's weight at the surface of the Earth is 218 pounds.
The distance d from the center of the Earth to the surface is equal to the Earth's radius R. Therefore, using the given weight of 218 pounds at the Earth's surface, we can substitute d with R to solve for c.
To find the constant c, we use the formula as follows: [tex]\( c = \frac{218}{R^2} \)[/tex] Solving for c, we get [tex]\( c = \frac{218}{R^2} \)[/tex] . This is the constant c in terms of R, the radius of the Earth.
