Question

given the equation, a = f/m, describe how the changing mass would affect an objects acceleration.

increasing the mass of the object would decrease its acceleration.

increasing the mass of the object would increase its acceleration

increasing the mass of the object would not affect its acceleration.

Explanation:

According to the formula \(a = \frac{F}{m}\), when force \(F\) is constant (assuming no change in the applied force), mass \(m\) and acceleration \(a\) have an inverse - relationship. Mathematically, if we consider two cases: let \(a_1=\frac{F}{m_1}\) and \(a_2=\frac{F}{m_2}\). If \(m_2>m_1\) (mass is increased), then \(a_2=\frac{F}{m_2}<\frac{F}{m_1} = a_1\) (using the property of fractions where for a positive constant numerator \(F\), a larger denominator gives a smaller value).

Answer:

Increasing the mass of the object would decrease its acceleration.