Select the correct answer. The pressure applied on any object can be calculated by using the following equation: [tex]$P=\frac{F}{A}$[/tex] In the pressure equation, [tex]$P$[/tex] represents the pressure on the object in pascals ([tex]$Pa$[/tex]), [tex]$F$[/tex] represents the force applied on the object in newtons ([tex]$N$[/tex]), and [tex]$A$[/tex] represents the area, in square meters, of the object over which the pressure is applied. What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied? Note: Answers should be rounded to the nearest whole unit. A. 245 Pa B. 82 Pa C. 163 Pa D. 41 Pa
Answer (2)
Substitute the given values of force F = 1306 N and area A = 16 m 2 into the pressure equation P = A F .
Calculate the pressure: P = 16 1306 = 81.625 Pa.
Round the calculated pressure to the nearest whole unit: P ≈ 82 Pa.
The pressure applied inside the container is approximately 82 Pa.
Explanation
Understanding the Problem We are given the formula for pressure: P = A F , where P is pressure in Pascals (Pa), F is force in Newtons (N), and A is area in square meters (m 2 ). We are given F = 1306 N and A = 16 m 2 . We need to find the pressure P and round it to the nearest whole unit.
Substituting Values Substitute the given values into the formula: P = 16 1306 .
Calculating Pressure Calculate the pressure: P = 81.625 Pa.
Rounding the Result Round the pressure to the nearest whole unit: P ≈ 82 Pa.
Final Answer Therefore, the pressure applied inside the container is approximately 82 Pa.
Examples
Understanding pressure is crucial in many real-world applications. For example, when designing tires for vehicles, engineers need to calculate the pressure exerted on the road to ensure optimal grip and safety. Similarly, in construction, knowing the pressure exerted by a building's foundation on the soil is essential to prevent structural failures. Even in everyday activities like inflating a bicycle tire, understanding pressure helps us achieve the desired level of inflation for a smooth ride. The formula P = A F is fundamental in these scenarios, allowing us to relate force and area to determine the pressure exerted.
The pressure applied inside the container is calculated using the formula P = A F , resulting in a pressure of approximately 82 Pa after substituting the values for the force and area and rounding to the nearest whole unit.
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