Question

The percentage error of mass and acceleration is 2 percent and 3 percent respectively calculate the percentage error of force​

Answer 1

Given ,

% error in mass = 2 %

% error in acceleration = 3 %

We know that ,

F = ma

So ,

$\boxed{\tt{\frac{ \Delta F}{F} = \frac{ \Delta m}{m} + \frac{ \Delta a}{a}} }$

Thus , the percentage error in force will be

$\tt \mapsto 2 + 3$

$\tt \mapsto 5 \: \%$

The percentage error in force is 5 %

Answer 2

Answer :

Percentage error = 5 %

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$\Large\bold{\underline{\mathtt{\pink{Given:}}}}$

% error of mass = 2 %

% error of acceleration = 3 %

$\Large\bold{\underline{\mathtt{\pink{To\:Find:}}}}$

▶Percentage error of Force

$\Large\bold{\underline{\mathtt{\pink{Sølution:}}}}$

☯ FORMULA USED : ${\sf{\red{F\:=\:ma}}}$

Therefore , $\large\bold{\boxed{\sf{\purple{ \dfrac{∆F}{F}\:=\: \dfrac{∆m}{m}\:+\: \dfrac{∆a}{a}}}}}$

➡ 2 + 3

➡ 5 %

% error = 5 %

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