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Home» class 9»Science» Chapter 9: Gravitation

The volume of a 500 g sealed packet is 350 cm³. Will the ... - Science

Question

The volume of a 500 g sealed packet is 350 cm³. Will the packet float or sink in water if the density of water is 1 g cm⁻³? What will be the mass of the water displaced by this packet?

 

Answer

Given:

  • Mass of the packet (m) = 500 g

  • Volume of the packet (V) = 350 cm³

  • Density of water = 1 g cm⁻³

1. Will it float or sink?

\text{Density of the packet} = \frac{\text{Mass}}{\text{Volume}}
\text{Density} = \frac{500}{350}
\text{Density} \approx 1.43 \text{ g cm}^{-3}

Result: Since the density of the packet (1.43 \text{ g cm}^{-3}) is greater than the density of water (1 \text{ g cm}^{-3}), the packet will sink.

2. Mass of water displaced:
Since the packet sinks completely, it displaces water equal to its own volume.

\text{Volume of water displaced} = 350 \text{ cm}^3
\text{Mass of water} = \text{Volume} \times \text{Density}
\text{Mass} = 350 \times 1

Mass of water displaced = 350 g