0

Guest

Courses New

if the % error in the measurement of momentum and mass of an object are 2%and3% resp.themn max.%error in the calculated value of its kinetic enrgy

if the % error in the measurement of momentum and mass of an object are 2%and3% resp.themn max.%error in the calculated value of its kinetic enrgy

Grade:11

2 Answers

mgayathri
42 Points
6 years ago
we know the basic formula of kinetic energy =p2/2m
so %error in ke=2x%error in p+%error in mass
=[2x2]+3
=7%.hope this helps.
Vikas TU
14149 Points
6 years ago
Kinetic Energy (Ek) = p2/2m.--------(1.)
p = momentum, m = mass
        take logarithm on both side
       log(Ek) = 2logp – log2m.
        Differentiating on both sides:
         dEk/Ek = 2dp/p –dm/m
Maximum possible error in kinetic energy
|dEk/Ek|max = 2|dp/p|+|dm/m|
                            =    2x.02 + .03
                            = .07

Think You Can Provide A Better Answer ?

Other Related Questions on General Physics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More