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A force of 8N is used to drag a chair 2.5 metres across a room Calculate the work done to move t

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A force of 8N is used to drag a chair 2.5 metres across a room Calculate the work done to move t

A force of 8N is used to drag a chair 2.5 metres across a room Calculate the work done to move t

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PoppyElite · Tutor for 8 years

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20 J

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## Step 1: <br />Identify the given values from the problem. The force \( F \) is \( 8 \mathrm{~N} \) and the distance \( d \) is \( 2.5 \mathrm{~m} \).<br /><br />## Step 2: <br />Understand the formula to calculate work done. The formula for work done is \( W = Fd \cos \theta \), where \( W \) is the work done, \( F \) is the force, \( d \) is the distance, and \( \theta \) is the angle between the force and the direction of displacement. <br /><br />## Step 3: <br />Since the force and the direction of motion are in the same direction (horizontal), \( \theta = 0° \), and \( \cos 0° = 1 \). <br /><br />### The formula becomes: \( W = Fd \).<br /><br />## Step 4: <br />Substitute the given values into the formula. <br /><br />### \( W = 8 \mathrm{~N} \times 2.5 \mathrm{~m} \).<br /><br />## Step 5: <br />Calculate the work done.<br /><br />### \( W = 20 \mathrm{~J} \).
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