Pressure and Atmospheric Pressure

We are given Force $F=500$ N and Area $A=0.0001$ m². We need to find pressure $P$.

Use the formula: $P=\frac{F}{A}$

$P=\frac{500}{0.0001}=5,000,000\text{ Pa}$

The pressure exerted by one heel is 5,000,000 Pa (5 MPa). This shows why high heels can damage soft floors — enormous pressure on a tiny area!

We need $P=F/A$ with $F=500$ N and $A=0.0001$ m². Let's check each option by working out what area would give that pressure.

If $P=5,000$ Pa, then $A=500/5000=0.1$ m². That is far larger than $0.0001$ m², so 5,000 Pa is too small.

$50,000$ Pa would require $A=0.01$ m², and $500,000$ Pa would require $A=0.001$ m². Both are much larger than the given $0.0001$ m², so both are incorrect.

Only 5,000,000 Pa is consistent with $P=500/0.0001=5,000,000$ Pa. This is the correct answer.

The question states the same force is applied to both. So any difference in outcome must be due to the area of contact, not the force.

From $P=F/A$: if $F$ is constant and $A$ decreases, then $P$ increases. The drawing pin tip has a much smaller contact area than a flat coin.

The drawing pin enters more easily because its smaller area concentrates the same force into a much higher pressure, which is enough to penetrate the board.

The question asks why a drawing pin creates more penetration than a coin with the same applied force. We need to find the correct physics explanation.

The question specifies that the same force is applied to both objects. Weight and material hardness are irrelevant here because the force is deliberately kept equal in both cases.

This is the opposite of the correct relationship. From $P=F/A$, a larger area with the same force gives lower pressure, not greater pressure.

The only correct statement is that the drawing pin has a smaller area, which means the same force produces a greater pressure — enough to push into the board.