To find the force that the 7 kg bowling ball exerts on the 4 kg bowling ball, we can use Newton's second law, which states that Force (F) is equal to mass (m) multiplied by acceleration (a):
\[ F = m \cdot a \]
The problem states that both bowling balls are accelerating at \( 1.875 , \text{m/s}^2 \).
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Calculate the force exerted by the 7 kg ball (to the right):
\[ F_1 = m_1 \cdot a = 7 , \text{kg} \cdot 1.875 , \text{m/s}^2 = 13.125 , \text{N} \] -
Direction of the force: Since the 7 kg ball is rolling to the right, it exerts this force to the right.
According to Newton's third law, the forces are equal in magnitude and opposite in direction. So, the 7 kg bowling ball exerts a force of \( 13.125 , \text{N} \) to the right on the 4 kg bowling ball.
To answer the question, the force that the 7 kg bowling ball exerts on the 4 kg bowling ball is:
13.125 N to the right.
So, the correct response is 13.125 N to the right.