Question

A soccer ball is kicked with a force F on a soccer field and then comes to rest. If the ball were then kicked with a force twice as strong as F, what would happen to the ball?

A
It would experience half of the original acceleration.


B
It would experience twice the original acceleration.


C
It would experience quadruple the original acceleration.


D
It would experience the same acceleration that it did originally.

Answer 1

To determine the effect of kicking a soccer ball with a force that is twice as strong as the original force \( F \), we can apply Newton's second law of motion, which states that force equals mass times acceleration (\( F = ma \)).

1. **Using the original force \( F \):**
If the original force \( F \) results in an acceleration \( a \), we can express this as:
\[
F = ma
\]

2. **Using the new force \( 2F \):**
When the force is doubled (kicked with a force \( 2F \)), the acceleration \( a' \) can be expressed as:
\[
2F = ma'
\]

3. **Relating the two accelerations:**
Since we know \( F = ma \), we can substitute for \( F \):
\[
2(ma) = ma'
\]
Simplifying this gives:
\[
2a = a'
\]

So, the new acceleration \( a' \) is twice the original acceleration \( a \).

Thus, the correct answer is:

**B. It would experience twice the original acceleration.**