Question

16. If the percentage errors in the measurement of
mass m and velocity v of a body are 1.5% and 2%
respectively, find the percentage errors in the
measurement of its momentum p and kinetic energy
​

Answer 1

Hi.

$p=mv$

Δp/p *100= Δm/m *100 + Δv/v *100

              =  1.5+2=3.5 %

$k=\frac{mv^2}{2}$

Δk/k *100 = Δm/m *100 + 2*Δv/v *100

               =  1.5+2*2 = 1.5+4 = 5.5%