Understanding the Concepts

* Work: Work is done when a force causes an object to move a certain distance. It's calculated as:

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

* Force due to gravity: The force acting on the mass is the force of gravity, which is calculated as:

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

* Where 'g' is approximately 9.8 m/s²

Calculation

1. Calculate the force:

* Force (F) = 1 kg * 9.8 m/s² = 9.8 N (Newtons)

2. Calculate the work:

* Work (W) = 9.8 N * 1 m = 9.8 Joules (J)

Therefore, 9.8 Joules of work is done when a 1-kg mass is raised a vertical distance of 1 meter.