Question

EXAMPLE 84. The percentage errors in the measurement of
mass and speed are 2% and 3% respectively. How much will
be the maximum error in the estimate of kinetic energy
obtained by measuring mass and speed ?
INCERT]​

Answer 1

Solution :-

As per the given data ,

• % error in mass (m) = 2 % = 2 / 100
• % error in speed (v)= 3 %  = 3 / 100

Kinetic energy is the energy possesed by an object due to it's motion .

Kinetic energy is given by the formula ,

➜ KE = mv² / 2

Now ,

% error in kinetic energy is given by ,

➜ Δ KE / KE = ± ( Δ m /m + 2 Δv / v )

Now let's substitute the given values in the above equation ,

➜ Δ KE / KE = ± ( 2 / 100 + 2 x 3 / 100)

➜ Δ KE / KE = ± (  2 / 100 + 6 / 100 )

➜ Δ KE / KE = ± (   8 / 100 )

➜ Δ KE / KE = ±  8  %

The maximum error in the estimate of kinetic energy obtained is 8 %