A tidal force is a difference in the gravitational force between two points. For example, the gravitational force of the Moon produces a tidal force across the diameter of Earth, which results in the ocean tides. A human falling into a black hole will also experience incredible tidal forces, and, at a certain distance, would literally be pulled apart. This phenomenon is known as spaghettification.

Which is an expression that can be used by Esperanza and Mika to calculate the tidal force on a human of mass m and height h$,$ whose feet are a distance d from the center of the black hole of mass M$,$ and whose head is a distance d $+$ h$?$

Ftidal $=$

GMm$($d $+$ h$)2$

Ftidal $=$

GMmd$2$

$$

Ftidal $=$ GMm

$1$d$2$

$$

$1($d $+$ h$)2$

Ftidal $=$ GMm

$1$d$2$

$+$

$1($d $+$ h$)2$