To find the force exerted by the 7 kg bowling ball on the 4 kg bowling ball, we can use Newton's second law, which states that force is equal to mass times acceleration (F = ma).
Given:
- Mass of the first ball (m₁) = 7 kg
- Mass of the second ball (m₂) = 4 kg
- Acceleration (a) = 1.875 m/s² (both balls are accelerating in the same direction)
The force exerted by the first ball can be calculated using its mass and the acceleration:
\[ F = m₁ \cdot a \]
Now, using the mass of the first ball:
\[ F = 7 , \text{kg} \cdot 1.875 , \text{m/s²} = 13.125 , \text{N} \]
Since the first ball is rolling to the right, the force it exerts on the second ball (which is accelerating to the left) will be in the direction of the first ball's motion.
Thus, the force the 7 kg bowling ball exerts on the 4 kg bowling ball is:
13.125 N to the right.
So the correct answer is 13.125 N to the right.
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