Answer:

If error in measurement of speed of an object is 10% and error in measurement of mass of an object is 20%. Then percentage error in the determination of kinetic energy will beAnswer is 45.2 but i want solution with explanation.

Explanation:

do you have book

The per cent error in the determination of kinetic energy will be 40%

Given:

Measurement of the speed of an object = 10%

Error in the measurement of the mass of an object = 20%

To Find:

The percentage error in the determination of kinetic energy

Solution:

Let the percent error in the measurement of speed = v =  10% or 0.10

Let the percent error in the measurement of mass = m =  20%. or 0.20

Therefore,

Considering the partial derivatives of KE with respect to mass and velocity:

[tex]d(KE)/KE = (d(m)/m) + 2 * (d(v)/v)[/tex]

Substituting the values -

d(KE)/KE = 0.20 + 2 x 0.10

= 0.20 + 0.20

= 0.40

Converting to percentage -

= 0.40 x 100

= 40%

Answer: The per cent error in the determination of kinetic energy will be 40%

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