Question

The percentage errors in the measurements of mass and velocity are 1% and 2%. Find the percentage error in kinetic energy

Answer 1

Answer:

For small changes if Kinetic Energy =

2

1

mv

2

Then, Percentage error in Kinetic Energy = Percentage error in m+2×(Percentage error in V)

Now Percentage error in m=

50

0.5

×100=1%

Percentage error in V=

10

0.1

×100=1%

∴ Percentage error in Kinetic Energy =1%+2%=3%