A ball of mass m b and volume V is lowered on a string into a fluid of density f

Question

A ball of mass mb and volume V is lowered on a string into a fluid of density f. (Figure 1) Assume that the object would sink to the bottom if it were not supported by the string.

Part A

What is the tension T in the string when the ball is fully submerged but not touching the bottom, as shown in the figure?

Express your answer in terms of any or all of the given quantities and g, the magnitude of the acceleration due to gravity.

mballgPfVg

SubmitHintsMy AnswersGive UpReview Part

Incorrect; Try Again; 2 attempts remaining

Provide FeedbackContinue

Figure 1 of 1

A ball of mass mb and volume V is lowered on a string into a fluid of density f. (Figure 1) Assume that the object would sink to the bottom if it were not supported by the string.

Part A

What is the tension T in the string when the ball is fully submerged but not touching the bottom, as shown in the figure?

Express your answer in terms of any or all of the given quantities and g, the magnitude of the acceleration due to gravity.

mballgPfVg

SubmitHintsMy AnswersGive UpReview Part

Incorrect; Try Again; 2 attempts remaining

Provide FeedbackContinue

Figure 1 of 1

Explanation / Answer

Let V is the volume of ball

Let B is the buoynat force.

we know, Buoynat force, B = weight of the dispalced fluid

= rho_f*V*g

As the ball is in equilibrium net force acting on the ball must be zero.

Fnety = 0

T + B - mb*g = 0

T = mb*g - B

= mb*g - rho_f*V*g <<<<<---------Answer

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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