Errors

Question

Percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error in the estimate of Kinetic Energy obtained by measuring mass and speed will be

Moderate

Solution

Percentage error in mass = 2% = $\frac{2}{100}$and percentage error in speed = 3 % =$\frac{3}{100}$

$K.E.=\frac{1}{2}m{v}^{2}$

thus percentage error in KE = 2+ 3$\times $2=8

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