Question

A force of 10 N produces an acceleration of 20 m/s-2 on a mass m1 and an acceleration of 30 m/s-2 on a mass m2 what acceleration would the same force produce if both the masses are tied together
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Answer 1

Answer:

12meter per second square

Answer 2

Given:

A force of 10 N produces an acceleration of 20 m/s² on a mass m1 and an acceleration of 30 m/s² on a mass m2.

To find:

Acceleration produced when both masses are tied together ?

Calculation:

$\rm \: m1 = \dfrac{force}{accelertion}$

$\rm \implies \: m1 = \dfrac{10}{20}$

$\rm \implies \: m1 = \dfrac{1}{2} \: kg$

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$\rm \: m2 = \dfrac{force}{accelertion}$

$\rm \implies \: m2 = \dfrac{10}{30}$

$\rm \implies \: m2 = \dfrac{1}{3} \: kg$

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Now, total mass :

$\rm \: m = \dfrac{1}{2} + \dfrac{1}{3}$

$\rm \implies \: m = \dfrac{3 + 2}{6}$

$\rm \implies \: m = \dfrac{5}{6} \: kg$

So, net acceleration is :

$\rm \: acc_{net} = \dfrac{10}{( \frac{5}{6} )} = 12 \: m {s}^{ - 2}$

So, acceleration when masses are tied is 12 m/s².