A lever system or pulley system increases distance moved by the effort by a factor of 3 while reducing the force by the same factor. What happens to the work done?

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Multiple Choice

A lever system or pulley system increases distance moved by the effort by a factor of 3 while reducing the force by the same factor. What happens to the work done?

Explanation:
Work is found by multiplying force by distance. An ideal lever or pulley trades distance for force without changing the total energy transferred. If the effort distance is three times longer and the needed force is one third as large, the work you do becomes (F/3) × (3d) = Fd, the same as before. In real machines some energy can be lost to friction, but in this scenario the system is treated as ideal, so the work remains the same.

Work is found by multiplying force by distance. An ideal lever or pulley trades distance for force without changing the total energy transferred. If the effort distance is three times longer and the needed force is one third as large, the work you do becomes (F/3) × (3d) = Fd, the same as before. In real machines some energy can be lost to friction, but in this scenario the system is treated as ideal, so the work remains the same.

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