In the measurement of mass and speed, the percentage errors are 2 % and 3 % respectively. From the obtained mass and speed, find the maximum error in the estimation of the kinetic energy.

Question

In the measurement of mass and speed, the percentage errors are 2 % and 3 % respectively. From the obtained mass and speed, find the maximum error in the estimation of the kinetic energy. (A) 11 % (B) 8 % (C) 5 % (D) 1 %

Tardigrade Admin · Accepted Answer

Kinetic energy is given as KE=(1/2)mv2 So, percentage error in kinetic energy will be given as %errorinmass+2× %errorinvelocity =2+2× 3=8 %

Q. In the measurement of mass and speed, the percentage errors are $2%$ and $3%$ respectively. From the obtained mass and speed, find the maximum error in the estimation of the kinetic energy.

$11%$

$8%$

$5%$

$1%$

Kinetic energy is given as $K E = \frac{1}{2} m v^{2}$
So, percentage error in kinetic energy will be given as $% error inma ss + 2 \times % error in v e l oc i t y$ $= 2 + 2 \times 3 = 8%$

Q. In the measurement of mass and speed, the percentage errors are 2% and 3% respectively. From the obtained mass and speed, find the maximum error in the estimation of the kinetic energy.

11%

8%

5%

1%