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A more pointed or sharp allpin penetrate...

A more pointed or sharp allpin penetrate the paper easily in comparison to less sharp allpin, because-

A

The price of more sharp all pin more than less sharp all pin

B

More sharp all pin puts more force is comparison to less sharp all pin.

C

More sharp allpin puts more pressure in comparison to less sharp allpin.

D

More sharp allpin puts less force is comparison to less sharp allpin.

Text Solution

AI Generated Solution

The correct Answer is:
To understand why a more pointed or sharp allpin penetrates paper more easily than a less sharp allpin, we need to consider the concepts of force, area, and pressure. ### Step-by-Step Solution: 1. **Understanding Pressure**: Pressure is defined as the force applied per unit area. The formula for pressure (P) is given by: \[ P = \frac{F}{A} \] where \( F \) is the force applied and \( A \) is the area over which the force is distributed. 2. **Force Applied by the Allpin**: When you push an allpin into paper, you apply a certain amount of force. This force is the same for both sharp and less sharp allpins when you apply the same amount of pressure. 3. **Area of the Allpin's Tip**: The tip of a sharp allpin has a smaller surface area compared to the tip of a less sharp allpin. This means that when the same force is applied, the pressure exerted by the sharp allpin is greater because the area is smaller. 4. **Calculating Pressure for Both Allpins**: - For a sharp allpin with a small tip area \( A_1 \): \[ P_1 = \frac{F}{A_1} \] - For a less sharp allpin with a larger tip area \( A_2 \): \[ P_2 = \frac{F}{A_2} \] Since \( A_1 < A_2 \), it follows that \( P_1 > P_2 \). 5. **Conclusion**: Because the sharp allpin exerts more pressure on the paper due to its smaller tip area, it penetrates the paper more easily compared to the less sharp allpin, which exerts less pressure. ### Final Answer: A more pointed or sharp allpin penetrates the paper easily in comparison to a less sharp allpin because it exerts greater pressure on the paper due to its smaller surface area at the tip. ---

To understand why a more pointed or sharp allpin penetrates paper more easily than a less sharp allpin, we need to consider the concepts of force, area, and pressure. ### Step-by-Step Solution: 1. **Understanding Pressure**: Pressure is defined as the force applied per unit area. The formula for pressure (P) is given by: \[ P = \frac{F}{A} ...
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