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Question
- a soccer ball experiences a force of 250 n when kicked and accelerates at 13 m/. what is the mass of the object?
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 need to solve for \(m\), so we can rewrite the formula as \(m=\frac{F}{a}\).
Step2: Substitute the given values
We are given \(F = 250\space N\) and \(a=13\space m/s^{2}\). Substituting these into the formula \(m=\frac{F}{a}\), we get \(m=\frac{250}{13}\).
Step3: Calculate the value
\(m=\frac{250}{13}\approx19.23\space kg\)
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The mass of the soccer ball is approximately \(19.23\space kg\).