Question

An empty 1160 kg car has its CM 2.40 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front? Assume that each person has a mass of 70.0 kg.

Answer 1

cm = 2.65m

Step-by-step explanation:

The center of mass is given by: cm = sum of momenta / total mass

cm = 1160kg * 2.4m + 2 * 70kg * 2.8m + 3 * 70kg * 3.9m / (1160kg + 5 * 70kg)