Question

Define your system as two people walking in a parking lot. Person 1 has a mass of 85.0 kg, and person 2 has a mass of 93.0 kg. Defining the center of the lot to have position 0 i 0 j, person 1 is located at position -41.0 m i -20.0 m j and person 2 is located at position 65.0 m i 82.0 m j. A. What is the x-coordinate of the center of mass of your system

Answer 1

Answer: 53.06

Explanation: Center of mass is an average of masses factored by their distance from a reference point. To determine the center of mass, it can be used the following formula: x =
`(m_(1)x_(1) + m_(2) x_(2) + ... )/(m_(1) + m_(2) + ...)`

For this question: The system is of two people and the reference is (0,0)

The center of mass for the x-coordinate is:

Note the terms 'i' and 'j' represents x-coordinate and y-coordinate, respectively

x =
`(m_(1)x_(1) + m_(2) x_(2) )/(m_(1) + m_(2) )`

x =
`(85.41 + 93.65)/(85 + 93)`

x =
`(9445)/(178)`

x = 53.06

The x-coordinate of the center of mass is 53.06.