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?
Asked by anupchan2005
| 3rd Sep, 2021,
10:20: PM
Expert Answer:
Kinetic energy K = (1/2) m v2 .......................... (1)
where m is mass and v is velocity
By taking logarithm of eqn.(1) and by differentiating , we get
dK/K = (dm/m) + 2 (dv/v)
we are given that , dm/m = 0.02 and dv/v = 0.03
hence , dK/K = 0.02 + 2 ( 0.03) = 0.08
Hence maximum error in kinetic enregy is 8%
Answered by Thiyagarajan K
| 3rd Sep, 2021,
11:44: PM
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