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question 4
1 pts
a force of 2,108 newtons acts on an object to the left. a force of 1,185 newtons acts on the same object to the right. the object has a mass of 197 kg. what is the objects acceleration, assuming there are no other forces that act on the object? if the acceleration is to the right it should be positive, if it is to the left it should be negative.
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Step1: Calculate net force
Net force \(F_{net}=F_{left}-F_{right}\). Given \(F_{left} = 2108\ N\) and \(F_{right}=1185\ N\), so \(F_{net}=2108 - 1185=923\ N\) (negative as net force is to the left).
Step2: Use Newton's second law \(F = ma\)
We know \(F_{net}=ma\), where \(m = 197\ kg\). Rearranging for \(a\), we get \(a=\frac{F_{net}}{m}\). Substituting \(F_{net}=- 923\ N\) and \(m = 197\ kg\), \(a=\frac{-923}{197}\approx - 4.7\ m/s^{2}\)
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\(-4.7\ m/s^{2}\)