Question

1. a block of wood has a volume of 200 cm³ and a mass of 100 grams. will it float in water? justify your answer.

Explanation:

Step1: Calculate wood density

Density formula: $
ho = \frac{m}{V}$
$
ho_{wood} = \frac{100\ \text{g}}{200\ \text{cm}^3} = 0.5\ \text{g/cm}^3$

Step2: Compare to water density

Water density: $
ho_{water} = 1\ \text{g/cm}^3$
$0.5\ \text{g/cm}^3 < 1\ \text{g/cm}^3$
An object floats if its density is less than the fluid's density.

Answer:

Yes, the block of wood will float in water. Its density is $0.5\ \text{g/cm}^3$, which is less than the density of water ($1\ \text{g/cm}^3$), so it meets the condition for floating.