Question

Question:A fish rests on the bottom of a bucket of water while the bucket is being weighed on a scale. When the fish begins to swim around, does the scale reading change? Explain your answer.

Short answer

No.

Step-by-step solution

Step 1: Bernoulli’s equation

The sum of the pressure, kinetic energy per unit volume, and gravitational potential energy per unit volume has the same value at all points along a streamline for an ideal fluid. This result is summarized in Bernoulli’s equation:

P+$\frac{1}{2}\rho V^2+\rho gh=cons\tan t$

Where

P =Pressure of fluid

V =Volume of fluid

$\rho =$Density of fluid

h =Height of fluid in pipe

Find the scale reading does change

• Accordingtoprincipleweknowthatmassisconstant, thatmeansasperthequestion.
• Afishrestonthebottomofabucketisbeingweightedonscale.
• Whenfishbeginstoswimaround, thescalereadingdoesnotchange, becauseevenifthefishswimaroundthemassofthebucketremainsconstant.