Question

The % error in mass is 2% and velocity is 3% . Find the percentage error in kinetic energy

Answer 1

Answer:Hope this helps

Explanation:

Answer 2

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

% error in mass = 2%.

%error in velocity = 3%.

$\huge{\bold{\underline{Explanation:-}}}$

From the Kinetic energy formula.

$\large{\bold{K.E = \frac{1}{2} mv^2}}$

Applying error formula in it.

$\large{ \frac{ \Delta K.E}{K.E} = \frac{ \Delta m}{m} + 2 \times \frac{ \Delta v}{v}}$

As percentage is given.

$\large{ \frac{ \Delta K.E}{K.E} \times 100 = \frac{ \Delta m}{m} \times 100 + 2 \times \frac{ \Delta v}{v} \times 100}$

Substituting the values.

$\large{ \frac{ \Delta K.E}{K.E} \times 100 = 2 + 2 \times 3}$

$\large{ \% \: error \: in \: K.E. = 8 \%}$

$\huge{\boxed{\boxed{\% \: error \: in \: K.E. = 8 \%}}}$

So,the percentage error is 8%.