a 1.50 kg. water is inside a cylindrical jar 4 cm. in diameter. what is the pressure at the interior bottom of the jar?
To calculate the pressure at the interior bottom of the jar, we need to use the equation for pressure:
Pressure = (Force) / (Area)
First, we need to calculate the force exerted by the water. The force exerted by an object is given by:
Force = mass x acceleration
Since the water is not accelerating, we need to calculate the force due to gravity:
Force = mass x acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2. However, to ensure consistency, we need to convert the mass of the water to kilograms (1.50 kg).
Force = 1.50 kg x 9.8 m/s^2 = 14.7 N
Next, we need to calculate the area of the bottom of the jar. The area of a circle is given by:
Area = π x radius^2
The radius of the cylindrical jar is half of its diameter, so the radius is 4 cm / 2 = 2 cm = 0.02 m.
Area = π x (0.02 m)^2 = 0.00126 m^2
Finally, we can calculate the pressure:
Pressure = Force / Area
= 14.7 N / 0.00126 m^2
= 11667.6 Pa
Therefore, the pressure at the interior bottom of the jar is approximately 11667.6 Pascal (Pa).