Michelle and Brian measured the acceleration of a cart rolling on an inclined track with one block under one end, and found that the acceleration was 0.482 m/s2. On another table, Yasin and Cameron found, with a similar setup, an acceleration of 0.718 m/s^2. a. What is the percent difference between the result found by Yasin and Cameron.b. What is the percent difference between the two results when you treat them as "equivalent"?

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nuuk nuuk · Answer 1 · 2020-01-17T10:49:02+01:00

Answer:

Explanation:

acceleration observed by Michelle and Brain [tex]a_{mb}=0.482\ m/s^2[/tex]

acceleration observed by Yasin and Cameron is [tex]a_{yc}=0.718\ m/s^2[/tex]

Absolute error =|true value-measured value|

Absolute error[tex]=|0.482-0.718|[/tex]

Absolute error[tex]=|-0.236|=0.236[/tex]

Relative error [tex]=\frac{absolute\ error}{true\ value}[/tex]

[tex]=\frac{0.236}{0.482}[/tex]

[tex]=0.4896[/tex]

percent error [tex]=relative\ error\times 100[/tex]

[tex]\%\ error=48.96[/tex]

Percent difference[tex]=\frac{absolute\ error}{airthmetic\ mean}\times 100[/tex]

Percent difference[tex]=\frac{0.236}{0.6}\times 100=39.66 \%[/tex]