Question

newtons third law quick check
two objects with the same mass have the same force applied to them. what can be said of their acceleration? (1 point)
○ their acceleration will be the same.
○ their acceleration will depend on their net force, which is not provided.
○ their acceleration will be different.
○ their acceleration will depend on their weight, which is not provided.

Explanation:

To solve this, we use Newton's second law, \( F = ma \) (where \( F \) is force, \( m \) is mass, and \( a \) is acceleration). Rearranging for acceleration gives \( a=\frac{F}{m} \). Given both objects have the same mass (\( m_1 = m_2 \)) and the same force applied (\( F_1 = F_2 \)), substituting into the formula: \( a_1=\frac{F_1}{m_1} \) and \( a_2=\frac{F_2}{m_2} \). Since \( F_1 = F_2 \) and \( m_1 = m_2 \), \( a_1 = a_2 \). The other options are incorrect: the net force here is the applied force (same for both), and weight (\( mg \)) isn't relevant as we use the applied force, and the masses are same so acceleration can't be different.

Answer:

A. Their acceleration will be the same.