Understanding the Concepts

* Work: Work is done when a force causes an object to move a certain distance. The formula for work is:

Work (W) = Force (F) x Distance (d)

* Force due to gravity: The force of gravity on an object is its weight, which is calculated by:

Force (F) = Mass (m) x Acceleration due to gravity (g)

Where 'g' is approximately 9.8 m/s²

Solving the Problem

1. Find the force:

* We know the work done (W = 162 J) and the distance (d = 0.1 m).

* Using the work formula, we can find the force:

F = W / d = 162 J / 0.1 m = 1620 N

2. Find the mass:

* We know the force (F = 1620 N) and the acceleration due to gravity (g = 9.8 m/s²).

* Using the force due to gravity formula, we can find the mass:

m = F / g = 1620 N / 9.8 m/s² = 165.3 kg (approximately)

Therefore, the mass of the person is approximately 165.3 kg.