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Suppose you use a teaspoon to open a lid. The resistance arm is 1 cm long and the effort arm is 10 cm long.Calculate the mechanical advantage and state what this means in terms of the reduction in the effort force you need.

Question

Suppose you use a teaspoon to open a lid. The resistance arm is 1 cm long and the effort arm is 10 cm long.Calculate the mechanical advantage and state what this means in terms of the reduction in the effort force you need.

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Solution

The mechanical advantage (MA) of a lever is calculated by dividing the length of the effort arm by the length of the resistance arm. In this case, the effort arm is 10 cm and the resistance arm is 1 cm.

Step 1: Identify the lengths of the effort arm and the resistance arm. Effort arm = 10 cm Resistance arm = 1 cm

Step 2: Use the formula for mechanical advantage (MA) which is MA = Effort arm / Resistance arm.

Step 3: Substitute the given values into the formula. MA = 10 cm / 1 cm = 10

So, the mechanical advantage of using the teaspoon to open the lid is 10.

This means that the effort force you need to apply is reduced by a factor of 10. In other words, you only need to apply 1/10th of the force that you would need to apply if you were trying to open the lid without the teaspoon.

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