To find out how deep the bottom of the raft is below the water level, we need to consider the buoyant force acting on the raft.
The buoyant force is the force exerted by a fluid (in this case, fresh water) on an object immersed in it, and it is equal to the weight of the fluid displaced by the object.
To find the buoyant force, we need to calculate the weight of the fresh water displaced by the raft. The weight of an object is equal to its mass multiplied by the acceleration due to gravity.
The mass of the fresh water displaced can be found using the density of fresh water (1000 kg/mĀ³) and the volume of the raft (0.60 mĀ³). The formula to calculate mass is:
mass = density * volume
mass = 1000 kg/mĀ³ * 0.60 mĀ³
Next, we need to calculate the weight of the fresh water displaced by multiplying the mass by the acceleration due to gravity (9.8 m/sĀ²). The formula to calculate weight is:
weight = mass * gravity
weight = (1000 kg/mĀ³ * 0.60 mĀ³) * 9.8 m/sĀ²
Now that we have the weight of the fresh water displaced, we can use this value to find the buoyant force. The buoyant force is equal to the weight of the fresh water displaced. So:
buoyant force = weight of fresh water displaced
Now, the buoyant force acting on the raft is equal to the weight of the raft. The weight of the raft can be found using the density of the raft (600 kg/mĀ³) and its volume (0.60 mĀ³). The formula to calculate weight is:
weight = density * volume * gravity
weight = 600 kg/mĀ³ * 0.60 mĀ³ * 9.8 m/sĀ²
This weight of the raft is opposing the buoyant force. Since the two forces are equal, we can equate them:
buoyant force = weight of the raft
Now we can solve for the depth of the bottom of the raft below the water level. The depth is the difference between the height of the water level and the height of the bottom of the raft. We can find the height of the water level by dividing the buoyant force by the surface area of the bottom of the raft. The formula to calculate depth is:
depth = (buoyant force / surface area of bottom of raft) - height of bottom of raft
Substituting the values we have:
depth = (buoyant force / 5.7 mĀ²) - 0
Now you can substitute the calculated values and complete the calculation to find the depth of the bottom of the raft below the water level.