Max Weight
A cubical block of wood of edge 3cm floats in water. The lower surface of the cube just touches the the free-end spring fixed at the bottom of a pot. Find the max weight that can be put on the block without wetting it. Density of wood=800kg/m^(3). Spring constant of spring=50N/m. Answer in Newton(N).
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
let mass of block=m,mass of thing put on it=M
when the block just touches the spring,
Mg=Fup
(27/1000000)(800)=(1000)(volume immersed)
(27/1000000)(8)(1/10)=(9/10000)(y/100) ((y=edge of volume immersed in water))
2.4=y
0.6=x ((x=edge of volume above water))
now, when something is put on the block
(m+M)g=Fup+kx
(27/1250 + M)(10)=(1000)(27/1000000)(10)+(50)(6/1000)
After solving we get,
Mg=0.354N