Question

Given two blocks of wood made of the same material. Block A has a height of 10.0 cm, and block B has a height of 5.00 cm. Both are placed in water. If 7.00 cm of block A are underwater then how many centimeters of the height of block B will be underwater?A)7 B)3.5 C)1 D)2 E)4

Answer 1

Given data:

The height of block A is h₁=10 cm.

The heigh of of block B is h₂=5 cm.

The block A is sinked by x₁=7 cm.

The fraction of block A in the water will be,

`\begin{gathered} f=(x_1)/(h_1) \\ f=(7cm)/(10cm) \\ f=0.7 \end{gathered}`

The height submerged in the water by block will be,

`\begin{gathered} x_2=fh_2 \\ x_2=0.7(5cm) \\ x_2=3.5cm \end{gathered}`

Thus, the block B is 3.5 cm in the water.

Option B is correct.