Final answer:
The center of mass of a system can be calculated using the formula: Center of mass = (∑(mass × position))/Total mass. In this case, the center of mass of the system is 1.275 m.
Step-by-step explanation:
The center of mass of a system can be calculated by considering the masses and distances of the individual particles. In this case, we have a particle of mass 3m located 1.70 m from a particle of mass m. To find the center of mass, we can use the formula:
Center of mass = (∑(mass × position))/Total mass
Plugging in the values:
Center of mass = ((3m × 1.70) + (m × 0))/((3m) + (m))
Center of mass = ((5.10m) + (0m))/4m
Center of mass = 1.275 m