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bysons
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Homework Statement
An object of mass m = 2.3 ± 0.1 kg is moving at a speed of v = 1.25 ± 0.03 m/s.
Calculate the kinetic energy (K =(1/2)mv2) of the object. What is the uncertainty
in K?
Homework Equations
Δz = |z| ( Δx/x + Δy/y ) - Multiplication
Δz = n (xn-1) Δx - Power
The Attempt at a Solution
k=1/2 mv2
(power)
Δv = 2(1.25)1(0.03)
=0.075
(multiplication)
Δk = k(1/2) (0.1/2.30 + 0.075/1.25)
=0.09
1.80 ± 0.09 kg*m2/s2
Just wondering if this is correct or if I have gone about this wrong. I'm I correct in multiplying K by 1/2 in the last step?