InterviewSolution
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InterviewSolution
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The displacement covered by a body in time `(5.0 +- 0.6) s is ( 40.4 +- 0.4 ) m`. Calculate the speed of the body . Also determine the percentage error in the speed. |
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Answer» Here ` s = 40.0 +- 0.4 m and t = 5.0 +- 0.6 s`. Therefore, speed , `v = ( s) /( t) = ( 40.0)/(5.0) = 8.0 m s^(-1)` As ` v = (s)/( t) , therefore , ( Delta v)/( v) = ( Delta s)/( s) + ( Delta t)/(t)` Here `Delta s = 0.4 m , s = 40.0 m , Delta t = 0.6 s, t = 5.0 s`. Therefore, or `( Delta v)/( v) = ( 0.4)/( 40.0) + ( 0.6) / (5.0) rArr Delta v = [ 0.01 + 0.12 ] xx 8.0 = 1.04` Hence , `v = ( 8.0 +- 1.04) ms^(-1)`, percentage error `(( Delta v)/( v) xx 100) = 0.13 xx 100 = 13%` |
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