Final answer:
To calculate the force exerted by atmospheric pressure on a disk-shaped region, use the formula F = P × A. Calculate the area of the disk with A = πr^2, and then multiply by the atmospheric pressure.
Step-by-step explanation:
The student's question pertains to calculating the force exerted by the atmosphere on a disk-shaped region in a methane ocean on a distant world. To find the force exerted by the atmospheric pressure on the disk, we apply the formula F = P × A, where F represents force, P is the atmospheric pressure, and A is the area of the disk.
To calculate the area A of a disk with a radius r, we use the formula A = πr^2. With a radius of 2.00 meters, the area is A = π(2.00 m)^2. Once the area is known, we multiply it by the atmospheric pressure of 8.12 × 10^4 Pa to obtain the force exerted on the region.
To calculate the force exerted by the atmosphere on a disk-shaped region at the surface of a methane ocean, we can use the formula:
Force = Pressure * Area
First, we need to calculate the area of the disk-shaped region. Since the region is disk-shaped, its area can be found using the formula for the area of a circle: Area = π * r^2. Given that the radius is 2.00 m, the area is Area = π * (2.00 m)^2.
Next, we can substitute the given values into the formula for force: Force = 8.12 ✕ 10^4 Pa * (π * (2.00 m)^2). Calculate the value to find the force exerted by the atmosphere on the disk-shaped region.