Question

A block of wood has a mass m and a density of ?. It is to...

A block of wood has a mass m and a density of ?. It is to be loaded with lead (density ?Pb) so that it will float in water with some fraction f of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? State your answers in terms of the given variables, using ?w (the density of water) when necessary.
Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(a) mass of lead needed if the leads is on top..

ml=mass of lead ?

for this part the amount immersed is wood

Fb=?Vg

the force displaced is equal to the weight

Fb=Fg

?wVg(mw/?wood)=(mw+ml)g,gravity cancels out and solve for ml


ml=?wV(mw/?wood)-mw= plug and solve

(b)this time the lead and block are immersed, the block holdsthe lead.

?wVg(mw/?wood)+(?w/?l)mlg=(mw+ml)g, gravity cancels out, and solve for ml

ml=?wV(mw/?wood)+(?w/?l)ml-mw


ml=pwv(mw/?wood)-mw= plug and solve

           (?w/?l)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A block of wood has a mass of 3.57 kg and a density of 588 kg/m3....
A block of wood has a mass of 3.57 kg and a density of 588 kg/m3. It is to be loaded with lead so that it will float in water with 0.82 of its volume immersed. The density of lead is 1.13 ? 104 kg/m3. (a) What mass of lead is needed if the lead is on top of the wood? (b) What mass of lead is needed if the lead is attached below the wood?
A block of wood has a mass of 3.67 kg and a density of 594 kg/m3...
A block of wood has a mass of 3.67 kg and a density of 594 kg/m3 . Attached below the wood is a mass of lead. If the wood is to float in water with 0.883 of its volume submerged, what mass of lead will be needed? (Density of lead is 11.3x103 kg/m3 )
A block of wood has a mass of 3.81 kg and a density of 535 kg/m3....
A block of wood has a mass of 3.81 kg and a density of 535 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m3) so that it will float in water with 0.838 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number Enter your answer for part (a) in accordance to the question statement Units...
A cubical block of wood measuring 0.20 m on each edge has a mass of 3.0...
A cubical block of wood measuring 0.20 m on each edge has a mass of 3.0 kg. It is floating in water. A block of lead of the same mass (3.0 kg) is placed on top of the wood. To what depth “d” does the wood float?
A block of wood, with density 780.0 kg/m^3, has a cubic shape with sides 0.272 m...
A block of wood, with density 780.0 kg/m^3, has a cubic shape with sides 0.272 m long. A cord of negligible mass is used to tie a piece of lead to the bottom of the wood. The lead pulls the wood into the water until it is just completely covered with water. What is the mass of the lead? Density of water is 1.00 × 103 kg/m^3 and density of lead is 11.3 × 103 kg/m^3.
Does the density of a block of wood and ice have to be less than the...
Does the density of a block of wood and ice have to be less than the density of water in order to float (i.e. not be completely submerged)? Explain. Please have clear hand writing.
IP A block of wood floats on water. A layer of oil is now poured on...
IP A block of wood floats on water. A layer of oil is now poured on top of the water to a depth that more than covers the block, as shown in the figure If 91{\rm {\rm \\%}} of the wood is submerged in water before the oil is added, find the fraction submerged when oil with a density of 880kg/m3 covers the block.
A block of wood floats partially submerged in water. Oil is poured on top of the...
A block of wood floats partially submerged in water. Oil is poured on top of the water until the block of wood is totally submerged, partially in water and partially in oil as shown in the figure. A clear cup is partially filled with water, and has oil floating on top of the water, almost filling the vessel. Completely submerged in the fluids is a block. The block floats so that part of it is in the water and part...
A 2m3 block of wood breaks off an ancient submerged ship at a depth of 1km...
A 2m3 block of wood breaks off an ancient submerged ship at a depth of 1km on the floor of a sea. The specific gravity of wood is 0.9 and that of seawater is 1.03. a)What is the magnitide of the acceleration of the block of wood before it reaches the top of the sea? b)What is the net work done on the block of wood as it moves up a distance of 1km from the bottom of the sea...
A 500g piece of wood (specific gravity =.5) floats in water (density=1.0 g/cm^3). A. What fraction...
A 500g piece of wood (specific gravity =.5) floats in water (density=1.0 g/cm^3). A. What fraction of its volume will be submerged? B. A 500g iron weight (density = 7.9g/cm^3) is hung from the bottom of the floating piece of wood. What fraction of the wood is submerged now?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT