To analyze how the bowling ball travels when a force is applied, we can apply Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass (F = ma).
Given:
- Force (F) = 14 N
- Mass (m) = 4.5 kg
We can calculate the acceleration (a) of the bowling ball using the formula:
\[ a = \frac{F}{m} \]
Substituting the values:
\[ a = \frac{14 , \text{N}}{4.5 , \text{kg}} \approx 3.11 , \text{m/s}^2 \]
This means the bowling ball accelerates at approximately 3.11 m/s² down the lane.
Now reviewing the answer options:
A. "The bowling ball accelerates toward the pins at 3.1 m/s." - Incorrect; the units are wrong, as it should be in m/s².
B. "The inertia increases to 6.75 m/s² as the ball approaches the pins." - Incorrect; inertia is a property of matter and does not change in this way.
C. "It descends on the pins at the end of the lane with a velocity of 17 m/s²." - Incorrect; again, velocity should not be expressed with m/s².
D. "The ball shows the result of unbalanced forces with a momentum of 9.6 m/s²." - Incorrect; momentum is not given in acceleration units (m/s²).
The most accurate conclusion from our calculation is that the bowling ball accelerates at approximately 3.1 m/s² as it travels down the lane; however, none of the provided options correctly express this.
Hence, while all options are incorrect, the key point that can be extracted is that the ball accelerates towards the pins at approximately 3.1 m/s².