Volume of cork needed to keep a child 20% above water

[Dragoon]

this is what the problem states i need help getting going
An ameusement park is planning to build a water slid, and the park owners would like to use giants corcks (pc=.28 g/cm3) as floats for young children. what volumer of cork is needed to keep 20 percent by volume of 40 kg child above the water at the base of the water slide (assuming the density of a child is 1.01 g/cm3.

 

[Chi Meson]

Assume that all of the cork's volume is submerged, call this volume V.
Remember, forces are balanced when an object is floating. What are the two forces?

 

[wais]

Hello! It seems like you are having trouble with a fluid problem involving the construction of a water slide. Don't worry, I would be happy to help you get started. Let's break down the information provided in the problem to better understand it.

First, we know that the amusement park wants to use giant corks with a density of 0.28 g/cm3 as floats for young children. This means that the corks will be able to support the weight of the children and keep them afloat in the water.

Next, we are given the weight of the child (40 kg) and their density (1.01 g/cm3). From this, we can calculate the volume of the child using the formula: volume = mass/density. This gives us a volume of approximately 39.6 cm3.

Now, we need to determine how much cork is needed to keep 20% of the child's volume above the water at the base of the water slide. This means that 20% of the child's volume (7.92 cm3) needs to be supported by the corks.

To calculate the volume of cork needed, we can use the formula: volume = mass/density. The mass we need to support is 7.92 cm3 (20% of the child's volume) and the density of the corks is 0.28 g/cm3. This gives us a volume of approximately 28.3 cm3 of cork needed to support the child.

I hope this helps you get started on solving the fluid problem. Remember to check your units and use the appropriate formulas. Good luck!