Question

percentage error in mass and speed are 2% and 3% then find percentage error in Kinetic energy ​

Answer 1

%error in mass =2%

%error in velocity =3%

kE=1/2mv^2

2+2×3

2+6

=8%

Answer 2

Given:

Percentage error in mass (m) = 2%

Percentage error in speed (v) = 3%

Percentage error in Kinetic Energy (KE) = ?

We know,

$\boxed{KE = \dfrac{1}{2}m{v}^{2}}$

To find percentage error

$\dfrac{\Delta KE}{KE} \times 100\% = \dfrac{\Delta m}{m} \times 100\% + 2\dfrac{\Delta v}{v} \times 100\%$

$= 2\% + 2 \times 3\%$

$= 2\% + 6\%$

$= 8\%$