Final answer:
To lift a 1 kg mass by 1 meter vertically, 9.8 joules of work is done, using the formula W = mgh with g as 9.8 m/s^2.
Step-by-step explanation:
The amount of work done when a mass is raised against the force of gravity is calculated using the equation W = mgh, where W is the work done in joules, m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s2 on Earth), and h is the height in meters. When a 1 kg mass is raised a vertical distance of 1 meter, the work done can be calculated as:
W = mgh = (1 kg)(9.8 m/s2)(1 m) = 9.8 joules.
Therefore, 9.8 joules of work is done to lift a 1 kg mass by 1 meter vertically.