Final answer:
To calculate pressure using a syringe, the mass acting on the syringe and the area of the syringe top are needed in the formula p = 1.03 × mass / area. This is different from calculating hydrostatic or atmospheric pressure using a column of fluid, where the formula p = h×p×g is used together with unit conversions and standard atmospheric pressure.
Step-by-step explanation:
To calculate the pressure exerted by the syringe, we need to use the given formula: p = 1.03 × mass / area. This formula accounts for the pressure from the weight as well as the atmospheric pressure. First, we need the mass that is acting on the syringe and the area of the top of the syringe. After substituting these values into the formula, we can calculate the pressure.
However, a more common scenario in physics problems is to calculate the hydrostatic pressure caused by a column of fluid using the formula p = h×p×g, where h represents the height of the fluid column, p represents the density of the fluid, and g represents the acceleration due to gravity. Real-life applications would require converting units to ensure consistency, such as converting h from millimeters to meters or p from grams per cubic centimeter to kilograms per cubic meter.
When considering a liquid like mercury used in barometers to measure atmospheric pressure, we would calculate the pressure using the density of mercury and the height of the mercury column in the barometer, and then add the standard atmospheric pressure if necessary.