The percentage errors in the measurement of the mass and speed are 3% and 4% respectively. What is the error in the estimate of kinetic energy obtained by measuring mass and speed?
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The percentage errors in the measurement of the mass and speed are 3% and 4% respectively. What is the error in the estimate of kinetic energy obtained by measuring mass and speed?
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Given percentage errors in mass and velocity = 4% and 3% respectively
The kinetic energy of the particle is given by
KE =
2
mv
2
The percentage error in kinetic energy will be
m
Δm
×100+3
v
Δv
×100
= 3+4
= 7%
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