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Question
which box (20 kg or 5 kg) would experience a higher rate of accelerate based on the diagram below? 100 n 20 kg 100 n 5 kg they will have the same acceleration 20 kg box 5 kg box
Step1: Use 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 \(a\) as \(a=\frac{F}{m}\).
Step2: Calculate acceleration for 20 - kg box
Given \(F = 100N\) and \(m = 20kg\). Substitute into \(a=\frac{F}{m}\), we get \(a_{1}=\frac{100}{20}=5m/s^{2}\).
Step3: Calculate acceleration for 5 - kg box
Given \(F = 100N\) and \(m = 5kg\). Substitute into \(a=\frac{F}{m}\), we get \(a_{2}=\frac{100}{5}=20m/s^{2}\).
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5 kg box