Question

A metal cube of side 5cm and density 7.9 g cm-³ is suspended by a thread and is immersed completely in a liquid of density 1.1 g cm-³.
Find a) the weight of cube ,
b) the upthrust on cube and
c) the tension in thread.

Answer 1

$\huge\mathcal\red{☛Question}$

A metal cube of side 5cm and density 7.9 g cm-³ is suspended by a thread and is immersed completely in a liquid of density 1.1 g cm-³.

Find :

a) the weight of cube ,

b) the upthrust on cube and

c) the tension in thread.

$\huge\mathcal\orange{☛Solution}$

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☞ a) Given,

Side of cube = 5cm

★ So, Volume of the cube = 5 × 5 × 5 = 125 cm³

Mass of the cube

${➦\: Volume\: × \:Density}$

${➦\: 125\: cm³\: ×\: 7.9 \:g cm -³}$

${➦\: 987.5\: g}$

Now,

★Weight of the cube = 987.5 gf (downwards)

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☞ b) Upthrust on cube = Weight of liquid displaced

➦ Volume of cube × density of liquid × g

${➦\: 125\: ×\: 1.1 \:× \:g }$

${➦\: 137.5\: gf [upwards]}$

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☞ c) Tension in thread = Net downward force

➦ Weight of cube - Upthrust on cube

${➦ 987.5 - 137.5 }$

${➦\: 850.0 \:gf}$

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ʜᴇɴᴄᴇ ,

a) ᴛʜᴇ ᴡᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴄᴜʙᴇ = 987.5 g

b) ᴛʜᴇ ᴜᴘᴛʜʀᴜsᴛ ᴏɴ ᴄᴜʙᴇ = 137.5 g

c) ᴛʜᴇ ᴛᴇɴsɪᴏɴ ɪɴ ᴛʜʀᴇᴀᴅ = 850.0 gf

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Answer 2

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