First slide

Kinetic energy

Question

The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimate of the kinetic energy obtained by measuring mass and speed

Moderate

A

11%
B

8%
C

5%
D

1%

Solution

$K . E . = \frac{1}{2} {mv}^{2}$
$\frac{Δ K . E .}{K . E .} = \frac{Δm}{m} + \frac{2 ΔV}{V} = (\frac{2}{100} + \frac{2 \times 3}{100}) \times 100 %$

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