You lift 29 kg of books 1.3 m. How much work did you do? (1 point) Responses 37.7 Joules 37.7 Joules 369.5 Joules 369.5 Joules 22.3 Joules 22.3 Joules 465.8 Joules

1 answer

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.

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