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CBSE Class 9 Answered

A metal piece of mass 160g lies in equilibrium inside a glass of water .The piece touches the bottom of the glass at a small number of point. If the density of the metal is 8000 kg/m3, find the normal force by the bottom of the glass on the metal.

Asked by M.s.srinidhi21 | 19 Oct, 2014, 05:02: PM
answered-by-expert Expert Answer
Given mass of the metal piece, m = 160 g = 0.160 kg
Density of metal = 8000 kg/m3
Here we can say that the weight of the metal piece = buoyant force(FB) + Normal force
i.e. weight of the metal piece= mg
Buoyant force, FB = Volume of water displaced by metal ×ρwater x g
mg = FB + Normal force
 
begin mathsize 14px style Normal space force space equals space mg minus space straight F subscript straight B space space space space space space space space space space space space space space space space space space space space space equals space straight m cross times straight g space minus straight V cross times straight rho subscript water cross times straight g Volume space of space water space displaced space by space metal comma space straight V space equals straight m over straight rho subscript metal equals fraction numerator 0.160 over denominator 8000 end fraction equals 0.00002 Normal space force space equals open parentheses space 0.160 cross times 9.8 close parentheses space minus space open parentheses 0.00002 cross times 1000 cross times 9.8 close parentheses space space space space space space space space space space space space space space space space space space space space space equals 1.568 space minus 0.196 space space space space space space space space space space space space space space space space space space space space space equals 1.372 space straight N space space space space space space space space space space space space space space space space space space space space space equals 1.4 space straight N space space space space space space space space space space space space space space space space space space space end style                             
Answered by Jyothi Nair | 20 Oct, 2014, 10:05: AM
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