- #1
ProfessorMadMan
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 /2mv2 ) of the object. What is the uncertainty in K?
I am not exactly sure if I used the error equation correctly when I start using Δ(v2). Could someone verify my logic here?
Homework Equations
K=0.5mv2
Δ(v2)=nx^(n-1)(Δx)
ΔK=(k )(z(Δm/m +(Δv2)/(v2))), k=0.5, z=1.8
The Attempt at a Solution
K=0.5mv2=0.5(2.3kg)(1.25m/s)2=1.8J
Power Error Equation
Δ(v2)=nx^(n-1)(Δx)
=2(1.25)^1(0.03)
Δ(v2)=0.075
Multiplication and Constant Error Equation
ΔK=(k )(z(Δm/m +(Δv2)/(v2)))
K = 0.5 ⋅ 1.8 ⋅((0.1/2.3)+(0.075/1.252))
K = 0.08