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Explain briefly why a kitchen knife is sharp in order to cut a piece of yam easily. A force of 10 Newton is exerted on a piece of yam using a knife of cross-sectional area 1x10⁻⁵ m2. Determine the pressure exerted. State 3 applications of pressure.
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A kitchen knife is sharpened to cut a piece of yam easily because a sharp edge has a very small surface area. When a force is applied to this small area, it creates a high pressure on the yam. This high pressure allows the knife to penetrate and cut through the yam with less effort.
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To determine the pressure exerted:
Identify the given values and the formula for pressure.
Given: Force ($F$) = $10 \text{ N}$ Cross-sectional area ($A$) = $1 \times 10^{-5} \text{ m}^2$ The formula for pressure is: $$ P = \frac{F}{A} $$Substitute the given values into the formula.
$$ P = \frac{10 \text{ N}}{1 \times 10^{-5} \text{ m}^2} $$Calculate the pressure.
$$ P = 10 \times 10^{5} \text{ Pa} $$ $$ P = 1,000,000 \text{ Pa} $$ $$ P = 1 \times 10^{6} \text{ Pa} $$ The pressure exerted is $\boxed{\text{}1 \times 10^{6} \text{ Pa}}$.3. Here are three applications of pressure: - Syringes use pressure to inject liquids into the body or draw fluids out. - Hydraulic brakes in vehicles use fluid pressure to transmit force and stop the car. - Sharp tools like knives, axes, and needles are designed with small contact areas to exert high pressure for cutting or piercing.
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