The combined mass of a boat and its crew is 420 kg (weight = 4116 N). It exerts a pressure of 323 Pa on the water. Calculate the area of the boat in contact with the water.
Question
The combined mass of a boat and its crew is 420 kg (weight = 4116 N). It exerts a pressure of 323 Pa on the water. Calculate the area of the boat in contact with the water.
Solution
Sure, here's how you can calculate the area of the boat in contact with the water:
Step 1: Understand the formula for pressure. Pressure (P) is defined as the force (F) divided by the area (A) over which the force is distributed. Mathematically, it is represented as P = F/A.
Step 2: In this problem, we are given the pressure (P) and the force (F). The force is actually the weight of the boat and its crew, which is 4116 N. The pressure is 323 Pa. We are asked to find the area (A).
Step 3: Rearrange the formula to solve for A. This gives us A = F/P.
Step 4: Substitute the given values into the formula. This gives us A = 4116 N / 323 Pa.
Step 5: Calculate the result. This gives us A = 12.74 m².
So, the area of the boat in contact with the water is approximately 12.74 square meters.
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