Question

A metal cube of side 5 cm 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) weight of the cube (b) Upthrust on the cube and (c) The tension in the thread.

Answer 1

Answer:

weigh culb 15 cm

Explanation:

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Answer 2

$\underline{ \underline{ \textbf{ \textsf{Question↴}}}}$

→ A metal cube of side 5 cm and density 7.9 g/cm³ is suspended by a thread and is immersed completely in a liquid of density 1.1 g/cm³. Find:

a) the weight of cube,

b) the upthrust on cube and

c) the tension in thread.

$\underline{ \underline{ \textbf{ \textsf{Given↴}}}}$

• Side of cube = 5 cm
• Density of cube = 7.9 g/cm³
• Density of liquid = 1.1 g/cm³

$\underline{ \underline{ \textbf{ \textsf{To \: Find↴}}}}$

• Weight of the cube.
• Upthrust on cube.
• Tension in thread.

$\underline{ \underline{ \textbf{ \textsf{Solution↴}}}}$

a) Side of cube = 5 cm

We know that,

Volume of cube = (side)³

∴ Volume of cube = (5)³ → 124 cm³

Now,

We know that,

Mass = Volume × Density

∴ Mass of cube = 125 cm³ × 7.9 g/cm³

→ 987.5 g

∴ Weight of the cube = 987.5 gf (ans)

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b) We know that,

Upthrust on cube = Weight of liquid displaced

=> Volume of cube × density of liquid × g

=> 125 × 1.1 × g

→ 137.5 gf (ans)

_____________________________

c) We know that,

Tension in thread = Net downward force

=> Weight of cube - Upthrust on cube

=> 987.5 - 137.5

→ 850.0 gf (ans)

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@MissSolitary✌️

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