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2. What force is needed to accelerate a mass of 36 kg at 8.6m/sec^2

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2. What force is needed to accelerate a mass of 36 kg at 8.6m/sec^2

2. What force is needed to accelerate a mass of 36 kg at 8.6m/sec^2

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EfaProfessional · Tutor for 6 years

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The force needed to accelerate a mass of 36 kg at \(8.6 m/sec^{2}\) is \(309.6 N\).

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## Step 1:<br />The problem pertains to Newton's second law of motion, which states that the force is the product of mass and acceleration. This can be mathematically represented as:<br /><br />### **\(F = ma\)**<br /><br />where:<br />- \(F\) is the force,<br />- \(m\) is the mass, and<br />- \(a\) is the acceleration.<br /><br />## Step 2:<br />From the problem, we know that the mass \(m\) is 36 kg and the acceleration \(a\) is \(8.6 m/sec^{2}\).<br /><br />## Step 3:<br />Substitute the given values into the formula:<br /><br />### **\(F = 36 kg \times 8.6 m/sec^{2}\)**<br /><br />## Step 4:<br />Perform the multiplication to find the force \(F\).
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