A scuba diver and her gear displace a volume of 71.0 L and have a total mass of 64.0 kg.
(a) What is the buoyant force on the diver in sea water?
bouyant force=volumewaterdisplaced*denstiy*g
Net force up= bouyant force - mass*g
I GOT 1001171.96N OF buoyant force. But it is wrong.
The buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. To calculate the buoyant force on the scuba diver, we need to determine the weight of the seawater displaced by the diver and her gear.
First, we need to calculate the density of sea water. The density of sea water can vary, but it is typically around 1025 kg/m^3.
Next, we need to convert the volume of the displacement into cubic meters. Since 1 L is equal to 0.001 cubic meters, the displacement volume is 71.0 L * 0.001 m^3/L = 0.071 m^3.
To find the weight of the seawater displaced, we can use the formula: weight = density * volume * gravity.
The acceleration due to gravity is approximately 9.8 m/s^2.
weight = 1025 kg/m^3 * 0.071 m^3 * 9.8 m/s^2
weight ≈ 719.138 N
So, the buoyant force on the diver in sea water is approximately 719.138 Newtons.
To calculate the buoyant force on the diver in sea water, we need to use Archimedes' principle, which states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
Step 1: Find the density of sea water.
The density of sea water can vary depending on factors such as salinity and temperature. On average, the density of sea water is about 1025 kg/m^3 or 1.025 g/cm^3.
Step 2: Convert the volume of the displaced fluid to cubic meters.
We are given that the volume displaced by the scuba diver and her gear is 71.0 L. To convert this volume to cubic meters, we need to divide by 1000 since there are 1000 liters in a cubic meter.
Volume = 71.0 L / 1000 = 0.071 m^3
Step 3: Calculate the mass of the displaced fluid.
To find the mass of the displaced fluid, we multiply the volume by the density.
Mass = Volume x Density = 0.071 m^3 x 1025 kg/m^3 = 72.775 kg
Step 4: Calculate the buoyant force.
The buoyant force is equal to the weight of the displaced fluid, which can be calculated using the formula:
Buoyant Force = Mass of Displaced Fluid x Gravitational Acceleration
Buoyant Force = 72.775 kg x 9.8 m/s^2 = 713.33 N
Therefore, the buoyant force on the scuba diver in sea water is approximately 713.33 Newtons.