To find the acceleration of the cue ball, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass (in kg), and
- \( a \) is the acceleration (in m/s²).
Rearranging the formula to solve for acceleration, we get:
\[ a = \frac{F}{m} \]
Given:
- \( F = 1.8 , \text{N} \)
- \( m = 0.22 , \text{kg} \)
Now substituting the values into the equation:
\[ a = \frac{1.8 , \text{N}}{0.22 , \text{kg}} \]
Calculating:
\[ a \approx 8.18 , \text{m/s}² \]
Rounding this to two decimal places gives:
\[ a \approx 8.2 , \text{m/s}² \]
Thus, the answer is:
D. 8.2 m/s²
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