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?

Question

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.