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A 2. 8 kg rectangular air mattress is 2. 00 m long, 0. 500 m wide, and 0. 100 m thick. What mass can it support in water before sinking?.

Sagot :

The mass that can rectangular air mattress can support in water before sinking is 97.2 kg

Consider the rectangular air mattress

The length = 2 meter

The width = 0.500 meter

The thickness = 0.100 meters

The volume = Length × width × thickness

The volume = 2 × 0.500 × 0.100

= 0.1 cubic meters

We know,

Total weight = Volume × Density × g

The density of water = 1000 kg/ meter square

Total mass = 0.1 × 1000 × 9.81

= 981 N

The the equation of mass will be

(2.8 + m) × 9.81 = 981

2.8 + m = 100

m = 100 - 2.8

m = 97.2 kg

Therefore, it will support 97.2 kg water before sinking

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