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A metal cube of side 5 cm and density 7....

A metal cube of side 5 cm and density `7.9gcm^(-3)` is suspended by a thread and is immersed completely in a liquid of density `1.1gcm^(-3)`, Find (a) the weight of cube (b) the upthrust on cube and (c) the tension in thread. (Take g=10ms−2)

Text Solution

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Given side of cube =5cm
`:.` volume of the cube `=5xx5xx5=125cm^(3)`
`125cm^(3)xx7.9gcm^(-3)`
`=987.5g`
`:.` Weight of the cube =987.5gf(downwards)
b. upthrust on cube = weight of liquid displaced
`=` volume of cube `xx` density of liquid `xxg`
`=125xx1.1xxg=37.5g` (upwards)
c. Tension in thread =Net downward force
`=` Weight of cube - Upthrust on cube
`=987.5-137.56=850.0gf`
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