To find the acceleration of the book, we can use Newton's second law, which states:
\[ F = ma \]
Where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
First, we need to convert the mass of the book from grams to kilograms:
\[ m = 500 , \text{g} = 500 , \text{g} \times \frac{1 , \text{kg}}{1000 , \text{g}} = 0.5 , \text{kg} \]
Now, we can substitute the values into the equation. The force \( F \) is given as 0.5 N:
\[ 0.5 = 0.5 \times a \]
Now, solve for \( a \):
\[ a = \frac{0.5}{0.5} = 1 , \text{m/s}^2 \]
None of the provided options are correct, as the calculated acceleration is \( 1 , \text{m/s}^2 \). However, if you need to choose the closest or correct option based on the given choices, it appears that there may be a misunderstanding of the problem or the numbers provided.
To clarify:
- The force applied (0.5 N) and the mass (500 g or 0.5 kg) lead to an acceleration of 1 m/s², which is not among the options provided.
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