To find the force that the 7 kg bowling ball exerts on the 4 kg bowling ball during the collision, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
\[ F = m \cdot a \]
Given the following:
- Mass of the first ball (m1) = 7 kg (this is the ball moving to the right)
- Mass of the second ball (m2) = 4 kg (this is the ball moving to the left)
- Acceleration (a) = 1.875 m/s²
We focus on the 7 kg ball exerting force on the 4 kg ball, thus we can use the mass of the 7 kg ball to calculate the force:
\[ F = m1 \cdot a = 7 , \text{kg} \cdot 1.875 , \text{m/s}^2 = 13.125 , \text{N} \]
Since the 7 kg ball is rolling to the right, but it exerts this force on the 4 kg ball which is rolling to the left, the force exerted by the 7 kg ball on the 4 kg ball will be directed to the left.
Therefore, the correct response is:
13.125 N to the left.