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A lever is used to lift an object. The input force is 30 N and the work done is 15 J. Calculate the distance the lever moves. Use the equation: work done =× distance moved in the direction of the force Enter number m

Question

A lever is used to lift an object.
The input force is 30 N and the work done is 15 J.
Calculate the distance the lever moves.
Use the equation:
work done =× distance moved in the direction of the force
Enter number m

A lever is used to lift an object. The input force is 30 N and the work done is 15 J. Calculate the distance the lever moves. Use the equation: work done =× distance moved in the direction of the force Enter number m

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VanceElite · Tutor for 8 years

Answer

To start, with let's first acknowledge we need to find the distance that the lever moves, symbolized with D.<br /><br />According to the given equation: work done = Force * distance moved in the direction of the force.<br /><br />So we must identify and plan how to calculate the unknown distance(i.e., D).<br /><br />The values given in the problem are:<br />- Input Force (F): \(30 N\),<br />- Work Done (W): \(15 J\),<br /><br />Rearranging the provided formula to find the distance (D) :<br /><br />\[D = \dfrac{W}{F}\]<br /><br />We just need to substitute the known values:<br /><br />\[D = \dfrac{W}{F} = \dfrac{15\ J}{30\ N}\]<br /><br />Doing the computation, we find that the distance (D) is 0.5 meters.<br /><br />【Answer:】The lever moves for \(0.5 m\).
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