A ball of mass m_b and volume V is lowered on a string into a fluid of density p_f . Assume that the object would sink to the bottom if it were not supported by the string. What is the tension T in the string when the ball is fully submerged but not touching the bottom? Express your answer (T) in terms of the given quantities and g , the acceleration due to gravity.(adsbygoogle = window.adsbygoogle || []).push({});

Although the fact may be obscured by the presence of a liquid, the basic condition for equilibrium still holds: The net force on the ball must be zero.

Here are the steps that I went through:

Compute the mass m_f of the fluid displaced by the object when it is entirely submerged.

Express your answer in terms of p_f, v, m_b, and g.

m_f = p_f*V

f_buoyant = p_f* V * g

How do I get from here to finding the tension?

Thanks.

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# Homework Help: Archimedes' principle

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