physics

You throw a ball with a mass of 182.2 g, with a speed of 4.6 m/s. Calculate the kinetic energy in Joules to 3 s.f. ,

and what is the uncertainty C=1 (Unsure: <67%) C=2 (Mid: >67%) C=3 (Quite sure: >80%)?

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asked by wes
  1. KE=(1/2)mv²
    =(1/2)*0.1822*4.6²
    =1.9276
    =1.93 (3 significant figures)

    To calculate the uncertainty,
    we do a partial differentiation with respect to m and v, and multiply by the maximum errors of δm=0.00005kg and δv=0.05 m/s.
    δKE=(1/2)v²δm+mvδv
    =(1/2)4.6²*0.00005+0.1822*4.6*0.05
    =0.042 joules
    or
    Kinetic energy = 1.928±0.042 J

    Therefore the third figure of the above answer is not reliable (as expected).
    Don't know what it means by the uncertainty percentage.

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