Question

tony has a mass of 50 kg and his friend sam has a mass of 45 kg. if both friends push off on their roller blades with the same force, then which boy will experience greater acceleration? a sam will have greater acceleration for a given amount of force. b tony will have greater acceleration for a given amount of force. c they will have the same acceleration due to the same applied force. d sam will have greater acceleration due to greater mass.

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 acceleration as \(a=\frac{F}{m}\).

Step2: Analyze the relationship between mass and acceleration

Since \(F\) is the same for both Tony (\(m_{Tony}=50\space kg\)) and Sam (\(m_{Sam} = 45\space kg\)), and \(a=\frac{F}{m}\), when \(F\) is constant, \(a\) is inversely proportional to \(m\). That is, the smaller the mass \(m\), the larger the acceleration \(a\).
Since \(m_{Sam}a_{Tony}\)

Answer:

A. Sam will have greater acceleration for a given amount of force.