A 2.0kg book is lying on a 0.74m high table. You pick it up and place it on a bookshelf 2.0m above the floor
You lifted it 1.26m (assuming the table is sitting on the floor)
so, what?
He is looking for work done by gravity and by your hand
To determine the work done in lifting the book from the table to the bookshelf, we can use the formula:
Work = Force * Distance
First, let's calculate the force required to lift the book. The force is equal to the weight of the book, which can be calculated using the formula:
Force = mass * gravitational acceleration
The mass of the book is given as 2.0 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Force = 2.0 kg * 9.8 m/s^2
Force = 19.6 N
Next, we need to calculate the distance over which the force is applied. The book is lifted from a table that is 0.74 m high to a bookshelf that is 2.0 m above the floor. The total distance is the sum of these two heights:
Distance = 0.74 m + 2.0 m
Distance = 2.74 m
Now, we can calculate the work done:
Work = Force * Distance
Work = 19.6 N * 2.74 m
Work ≈ 53.70 Joules
Therefore, the work done in lifting the book from the table to the bookshelf is approximately 53.70 Joules.