To find the acceleration of the book, we can use Newton's second law of motion, which is given by the equation:
\[ F = ma \]
Where:
- \( F \) is the force applied (in Newtons)
- \( m \) is the mass of the object (in kilograms)
- \( a \) is the acceleration (in meters per second squared)
In this case:
- The force \( F = 0.5 , N \)
- The mass \( m = 500 , g = 0.5 , kg \) (since 1000 grams = 1 kilogram)
Now, we can rearrange the formula to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Substituting the given values:
\[ a = \frac{0.5 , N}{0.5 , kg} = 1 , m/s^2 \]
However, since the provided options do not include 1 m/s², let's review the calculation.
Looking through the choices might indicate that there was a misunderstanding. Let's break down the options:
- a) 0.001 m/s²
- b) 1000 m/s²
- c) 500 m/s²
- d) 250 m/s²
Given that our calculated result is actually 1 m/s², none of the options fit this value. Please double-check the force and mass values for any necessary adjustments, or if additional parameters such as friction were meant to be included.
As it currently stands with the given data, the acceleration is 1 m/s², which is not aligned with any of the choices listed.
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