Question

kinetic energy of a particle depends on the square of speed of the particle if error in measurement of speed is 40% then error in the measurement of kinetic energy will be​

Answer 1

Answer:

The error in the measurement of kinetic energy will be​ 96%

Explanation:

Let the kinetic energy of the particle is KE1, which depends on the square of the speed of the particle, let the speed of the particle be u

Then,

KE1∝ u^2

or, KE2/KE1= (u1^2/u2^2)

Now, if error in measurement of speed is 40%

KE2/KE1= (100+40/100)^2

or, KE2/KE1=  1.96

or, KE2= 1.96KE1

Therefore, error in the measurement of kinetic energy will be​ :

(KE2-KE1/KE1) x 100

substituting the value of KE2

(1.96KE1- KE1/KE1) x 100

= 0.96 x 100

= 96