Question

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 depend on their weight, which is not provided.

their acceleration will be different.

their acceleration will depend on their net force, which is not provided.

their acceleration will be the same.

Explanation:

According to Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration). If \(m_1=m_2\) (same mass) and \(F_1 = F_2\) (same force applied), then from \(a=\frac{F}{m}\), we can substitute \(m_1\) for \(m_2\) and \(F_1\) for \(F_2\). So \(a_1=\frac{F_1}{m_1}\) and \(a_2=\frac{F_2}{m_2}\), which simplifies to \(a_1 = a_2\) since \(F_1 = F_2\) and \(m_1=m_2\). Weight \(W=mg\) (where \(g\) is the acceleration due to gravity), but in the context of \(F = ma\) (where \(F\) is the applied force), the first option is incorrect as we are dealing with the relationship between applied force, mass and acceleration. The second option is wrong because of the equality derived from \(F = ma\). The third option is incorrect since the problem states the same force is applied (so net - force in the context of \(F = ma\) is the same as the applied force, assuming no other forces in the direction of motion).

Answer:

Their acceleration will be the same.