- #1

- 3

- 0

## 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)mv

^{2}) of the object. What is the uncertainty

in K?

## Homework Equations

Δz = |z| ( Δx/x + Δy/y ) - Multiplication

Δz = n (x

^{n-1}) Δx - Power

## The Attempt at a Solution

k=1/2 mv

^{2}

(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*m

^{2}/s

^{2}

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?