Question

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

Answer 1

Answer:

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Explanation:

Maximum percentage error is 8%.

Given that the percentage error in the measurement of mass to as 2% and the speed to be as 3%

We have to find the maximum percentage error for the kinetic energy.

That is,

Mass is denoted by m=2%,

Speed is denoted by v=3%

For kinetic energy we have 1 / 2 m v^{2}1/2mv

2

We have \frac{\Delta m}{m}+2 \times \frac{\Delta v}{v}

m

Δm

+2×

v

Δv

Now by substituting the values of m and v in the above expression,

= 2+2 x 3

= 2+6

=8

Hence maximum percentage error is to be 8%.

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