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Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk. What is his power output? (Power: P=W/t 1.25 W 5W 40 W 500 W

Question

Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk.
What is his power output? (Power: P=W/t
1.25 W
5W
40 W
500 W

Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk. What is his power output? (Power: P=W/t 1.25 W 5W 40 W 500 W

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EmilyMaster · Tutor for 5 years

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<p> 5 W</p>

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<p> To determine Den's power output, the work done (W) needs to be calculated first, and then use the power formula \(P = \frac{W}{t}\), where \(P\) is power, \(W\) is work done, and \(t\) is the time over which the work is done.<br /><br />1. Calculate the work done. Work done \(W\) is the product of the magnitude of the displacement over which the force is applied and the component of the force acting in the direction of the displacement. So, if force (\(F\)) is 10 N and displacement (\(s\)) is 400 cm, or \(W = F \cdot s\). But we need to convert 400 cm to meters by dividing by 100, since in SI units, work is in joules, force is in newtons, and displacement is in meters.<br />2. Calculate the power using the formula \(P = \frac{W}{t}\) once \(W\) is found from the above step. Time \(t\) given is 8 seconds.<br /><br />To summarize, the process is:<br /><br />- Convert displacement from cm to m.<br />- Compute the work done, \(W = F \cdot s\), after conversion.<br />- Calculate the power output, \(P = \frac{W}{t}\). </p>
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