Question

A cylindrical beaker from the chemistry department at SMU has a height of 0.100 m and has negligible weight This is ed to the very top with a dlear uid that has a density p890 kg/ The beaker is then placed on a scale, and is weight is found to be 1 00 N Figu 1) Part A Dennis Rodman's star gold pendant (density A-193-10 kg/m and volume V 50 0 ems then sbmerged in the quid and in the peocess some of the iquid overflows from the beaker The pendant is held in place by a digid bar (negligible volume and weight)-tis NOT resting on the bottom of Find the weight W of the pendant Dennis Rodman camies around his neck? Express your answer numerically in newtons View Available Hintfs) the beaker AX W N Submit Part B Find what the scale reads W when the pendant is immersed in the beaker? You can assume that nene of the Bquid that has overfowed s on the scale Figure 1 of 2 Calculate your answer from the quantities given in the problem and express it numerically in newtons View Available Hints VAz N Subme Part C

Answer 1

Here we apply concept of Archimedes principle and equilibrium condition.

An h = 0.10om p=890 kg/m3 Weight read by scale, w=1N A = 1.93 x 10* tcg/m3, V=5000 cm3 Volume spilled outside of beaker =V - = weight of liquid spilled = Ws Ws = p V g = (8904 (3) (50 xlö m3) (9.8W/52) = 0.436 1 kqm/s² Now weight of liquid inside beaker wed' = '-Ws =(1-0.436 DN - > We = 0.5639 N body diagram of Pendant to Here T= Tension in thread - f = buoyant force on pendant mg = weight of pendant free Here No = Normal by scale F = Buoyant force We (a) Weight of pendant, we = mag = lovg 76= 163 xlof 19/ 3) (50 x 16 ) (98mx2) - sowo - 9.457 Newton I

When pendant is in water then scale reads We = I H₂ = Woth - = 0.5639 + Vega 0.5639 +150x1663)(89615 )38,2) - I Newton