Step 1: Identify the Variables
The problem provides us with three known values: the weight of the object (mass m = 10 kg), the height the object is raised (h = 1.2 meters), and the value of gravity (g = 9.8 m/s²)
Step 2: Apply the Physics Formula
The amount of work (W) done in lifting an object from the ground is determined by the formula:
W = m * g * h
Where,
W = Work,
m = mass of the object,
g = acceleration due to gravity,
h = height,
Now replace the variables in the formula with their corresponding values to find the work done.
Step 3: Calculation
Substitute m = 10 kg, g = 9.8 m/s², and h = 1.2 m into the formula from step 2:
W = 10 kg * 9.8 m/s² * 1.2 m.
Step 4: Solve
Completing the operation gives us the work done:
W = 117.6 Joules.
Therefore, the work done in raising a 10 kg backpack from the floor to a shelf 1.2 m above the floor is 117.6 Joules.