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You can use a hammer as a lever to remove nails, making a difficult task much easier.If the resistance arm is 5 cm long, calculate how long the effort arm would need to be to give you a mechanical advantage of 5.

Question

You can use a hammer as a lever to remove nails, making a difficult task much easier.If the resistance arm is 5 cm long, calculate how long the effort arm would need to be to give you a mechanical advantage of 5.

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Solution

The mechanical advantage of a lever is calculated by the ratio of the length of the effort arm to the length of the resistance arm. In this case, you want a mechanical advantage of 5 and you know the resistance arm is 5 cm long.

The formula for mechanical advantage (MA) is:

MA = Length of Effort Arm / Length of Resistance Arm

You can rearrange this formula to solve for the length of the effort arm:

Length of Effort Arm = MA * Length of Resistance Arm

Substitute the given values into the equation:

Length of Effort Arm = 5 * 5 cm = 25 cm

So, the effort arm would need to be 25 cm long to give you a mechanical advantage of 5.

This problem has been solved

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