To determine the force that the 7 kg bowling ball exerts on the 4 kg bowling ball during their collision, we can use Newton's second law, which states that \( F = m \cdot a \).
Given:
- Mass of the first ball (m1) = 7 kg
- Mass of the second ball (m2) = 4 kg
- Acceleration (a) = 1.875 m/s²
We can calculate the net force exerted on each ball due to their acceleration:
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For the first ball (7 kg): \[ F_1 = m_1 \cdot a = 7 , \text{kg} \cdot 1.875 , \text{m/s}^2 = 13.125 , \text{N} \]
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For the second ball (4 kg): \[ F_2 = m_2 \cdot a = 4 , \text{kg} \cdot 1.875 , \text{m/s}^2 = 7.5 , \text{N} \]
When two objects collide, they exert forces on each other as per Newton's third law, which states that for every action, there is an equal and opposite reaction.
The first ball, rolling to the right, applies a force to the second ball. Since it is accelerating to the right, this means it will exert a force to the right in the amount equal to its own acceleration force, which we calculated as \( F_1 = 13.125 , \text{N} \).
Thus, the 7 kg bowling ball exerts a force of 13.125 N to the right on the 4 kg bowling ball. Therefore, the correct response is:
13.125 N to the right.
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