Final answer:
To calculate the work done against the gravitational force when carrying a 4 kg briefcase up 380 m, we use the formula W = mgh, yielding a work of 14,872 Joules.
Step-by-step explanation:
The question involves calculating the work done against the gravitational force when lifting an object vertically. To find the work done on a 4 kg briefcase carried to the roof of the Empire State Building, which is a vertical height of 380 m, we would use the formula for work done against gravity, W = mgh, where 'm' is the mass in kilograms, 'g' is the acceleration due to gravity (9.8 m/s^2), and 'h' is the height in meters.
For the briefcase, m = 4 kg, g = 9.8 m/s^2, and h = 380 m. Inserting these values into the formula, we get W = 4 kg × 9.8 m/s^2 × 380 m, which equals 14,872 Joules. Therefore, 14,872 Joules of work is done in carrying the briefcase to the roof against the gravitational force.