Question

football a has a greater mass than football b. which football will have greater acceleration when both are thrown with the same force in the same direction? mass has no effect on acceleration they will have the same acceleration football b football a

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. We can solve for \(a\) to get \(a=\frac{F}{m}\).

Step2: Analyze the relationship between mass and acceleration

Given that \(F\) is the same for both footballs. Let \(m_A\) be the mass of football A and \(m_B\) be the mass of football B, with \(m_A>m_B\). Using \(a = \frac{F}{m}\), when \(F\) is constant, \(a\) is inversely proportional to \(m\). So \(a_B=\frac{F}{m_B}\) and \(a_A=\frac{F}{m_A}\). Since \(m_A > m_B\), then \(\frac{F}{m_A}<\frac{F}{m_B}\) (because if the numerator \(F\) is the same and the denominator is larger, the fraction is smaller).

Answer:

Football B