Exercise 12.33 A rock is suspended by a light string. When the rock is in air, t

Question

Exercise 12.33

A rock is suspended by a light string. When the rock is in air, the tension in the string is 37.4 N . When the rock is totally immersed in water, the tension is 30.3 N . When the rock is totally immersed in an unknown liquid, the tension is 20.0N .

Part A

What is the density of the unknown liquid?

SubmitMy AnswersGive Up

Exercise 12.33

A rock is suspended by a light string. When the rock is in air, the tension in the string is 37.4 N . When the rock is totally immersed in water, the tension is 30.3 N . When the rock is totally immersed in an unknown liquid, the tension is 20.0N .

Part A

What is the density of the unknown liquid?

SubmitMy AnswersGive Up

Explanation / Answer

here,

when the string is in air ,

let the mass of rock be m

tension in the string , T = m * g

37.4 = m * 9.8

m = 3.82 kg

let the volume of the rock be v

when the rock is in water

Tw + pw * v * g = m * g

30.3 + 1000 * v * 9.8 = 37.4

v = 0.72 * 10^-3 m^3

when the rock is in unknown liquid

let the density of unknown liquid be pu

Tu + pu * v * g = m * g

20 + pu * 0.72 * 10^-3 *9.8 = 37.4

pu = 2465.99 Kg/m^3

the density of unknown liquid is 2465.99 kg/m^3

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.