Question

what is the force of gravitational attraction between a 92 kg student and a 550 g slice of pizza that are 25 cm apart

Answer 1

`F = 5.4*10^(-8)\ N`

Step-by-step explanation:

Given

Represent the mass of the student with M and the mass of the slice of pizza with m

`M = 92kg`

`m = 550g`

`d = 25cm`

Required

Determine the force of attraction

This is calculated as:

`F = (GMm)/(d^2)`

Where G = gravitational constant

`G = 6.67408 * 10^(-11)\ m^3 kg^(-1) s^(-2)`

Convert both mass to kilogram and distance to metre

`m = 550g`

`m = 550kg/1000`

`m = 0.55kg`

`d = 25cm`

`d = 25m/100`

`d = 0.25m`

Substitute these values in
`F = (GMm)/(d^2)`

`F = (6.67408 * 10^(-11) * 92 * 0.55)/(0.25^2)`

`F = (6.67408 * 92 * 0.55* 10^(-11) )/(0.25^2)`

`F = (337.708448* 10^(-11) )/(0.0625)`

`F = 5403.335168* 10^(-11)`

`F = 5.403335168* 10^3*10^(-11)`

`F = 5.403335168*10^(3-11)`

`F = 5.403335168*10^(-8)`

`F = 5.4*10^(-8)\ N`