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Question
26 an object is currently speeding up (increasing its speed) to the right. two forces are currently acting on this object as shown below. how much rightward pulling force is needed to keep the object in a state of speeding up? 14 n ? 14 n less than 14 n more than 14 n
Step1: Determine the condition for speeding up
According to Newton's second law \(F = ma\). When an object is speeding up in a certain direction, the net force in that direction is non - zero and in the direction of motion.
Let the left - ward force \(F_{left}=14N\) and the right - ward force \(F_{right}\). The net force \(F_{net}=F_{right}-F_{left}\).
Since the object is speeding up to the right, \(F_{net}>0\).
Step2: Solve for the right - ward force
From \(F_{net}=F_{right}-F_{left}>0\), substituting \(F_{left} = 14N\), we get \(F_{right}-14N>0\).
Adding \(14N\) to both sides of the inequality \(F_{right}-14N + 14N>0 + 14N\), we find that \(F_{right}>14N\).
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More than \(14N\)