The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 30 meters is 80 newtons per square centimeter. What pressure is exerted at 50 meters?
since p/d is constant,
30/80 = p/50
To solve this problem, let's use a proportion to find the pressure exerted at 50 meters. First, let's set up a proportion using the given information:
Pressure at 30 meters / Depth at 30 meters = Pressure at 50 meters / Depth at 50 meters
Let's assign variables to the unknowns:
Let x represent the pressure at 50 meters.
Using the given information:
80 newtons per square centimeter / 30 meters = x / 50 meters
To solve for x, we can cross-multiply and then solve for x:
80/30 = x/50
Now let's solve for x:
80 * 50 = 30 * x
4000 = 30x
Divide both sides by 30:
4000 / 30 = x
x ≈ 133.33
Therefore, the pressure exerted at 50 meters is approximately 133.33 newtons per square centimeter.