To calculate the work done when lifting an object, you can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
In this case, the force is equal to the weight of the books, which can be determined using the formula:
\[ \text{Force} = \text{mass} \times \text{gravity} \]
Where the acceleration due to gravity is approximately \(9.81 , \text{m/s}^2\).
Given:
- Mass of the books = 29 kg
- Distance = 1.3 m
First, calculate the force:
\[ \text{Force} = 29 , \text{kg} \times 9.81 , \text{m/s}^2 = 284.49 , \text{N} \]
Now, use the force to calculate the work:
\[ \text{Work} = \text{Force} \times \text{Distance} = 284.49 , \text{N} \times 1.3 , \text{m} = 369.5 , \text{Joules} \]
Therefore, the work done is 369.5 Joules.