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Question
a 3.5 kg object being pushed by a force of 10 n across the floor. what is the acceleration of the object?
Step1: Recall Newton's second law
Newton's second law is \(F = ma\), where \(F\) is the force, \(m\) is the mass, and \(a\) is the acceleration. We need to solve for \(a\), so we can rewrite the formula as \(a=\frac{F}{m}\).
Step2: Substitute the given values
We are given that \(F = 10\space N\) and \(m=3.5\space kg\). Substituting these into the formula \(a=\frac{F}{m}\), we get \(a=\frac{10}{3.5}\space m/s^{2}\).
Step3: Calculate the value
\(a=\frac{10}{3.5}\approx 2.86\space m/s^{2}\)
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The acceleration of the object is approximately \(2.86\space m/s^{2}\)