The percentage error in measurement of mass and velocity are 2% and 3% respectively. How much is the maximum error in calculation of kinetic energy
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Δm * 100 /m = 2
Δv * 100 / v = 3
KE = 1/2 m v²
ΔKE / KE = Δm/m + 2 Δv/v
ΔKE*100/KE = Δm*100/m + 2 Δv *100 / v
= 2 + 2 * 3 = 8 %
So the maximum error is 8%
Δv * 100 / v = 3
KE = 1/2 m v²
ΔKE / KE = Δm/m + 2 Δv/v
ΔKE*100/KE = Δm*100/m + 2 Δv *100 / v
= 2 + 2 * 3 = 8 %
So the maximum error is 8%
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