Density of wood?

Question

A rectangular block of water floats in water with 50mm above water. In glycerine with specific density of 1.35 the block now floats at a level 75mm above the fluid surface. What is the density of the wooden block?

Answer 1

Gravity something or something gravity = density of object / density of water. wikipedia it. i remember i did a question like this in high school but i forget now. give us formulas and maybe we can.

it is not hard cause i could do it. i didn't find it hard in highschool

Answer 2

Let:

H = height of the block in mm

A = area of the block equal to the length and the width cm^2

B = buoyancy of the block in grams

B = 1 x A x (H-50)/10

B = 1.35 x A x(H-75)/10

1.35(H - 75) = (H-50)

.35H = 1.35 x 75 - 50 = 51.25

H = 146.4286mm = 14.64286 cm

Volume of the block = AH = 14.64286A cm^3

Buoyancy of the block = Weight of the block =1 x A x (14.64286 -50/10) =9.64286A grams

Density =Weight/Volume = 9.64286A/14.64286A

= 0.65854grams/cm^3