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The tension in the string which supports the 5.0 kg cylinder of solid iron and submerged in water is 42.8 N.
What is tension in the string due to hanging weight?
Tension is the pulling force carried by the flexible mediums like ropes, cables and string. Tension in a body due to the weight of the hanging body is the net force acting on the body.
A 5. 0 kg cylinder of solid iron is supported by a string while submerged in water. The density of iron is 7860 kg/m3 and that of water is 1000 kg/m3.
The tension in string can be find out using the following formula,
[tex]T=mg\left(1-\dfrac{\rho_w}{\rho_i}\right)[/tex]
Here, m is the mass of solid, g is gravitational force, ρ is the density and subscript (w and i) is for water and iron respectively.
Put the values,
[tex]T=5\times9.81\left(1-\dfrac{1000}{7860}\right)\\T=42.8\rm\; N[/tex]
Thus, the tension in the string which supports the 5.0 kg cylinder of solid iron and submerged in water is 42.8 N.
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