A force of 5 N gives a mass m_{1}, an acceleration of 10 m s^{-2 }and a mass m_{2}, an acceleration of 20 m s^{-2}. what acceleration would it give if both the masses were tied together?

Hi,

Given values:

Force, F=5N,

Acceleration, a

_{1}= 10 ms^{-2}for mass= m_{1},Acceleration, a

_{2}=20 ms^{-2}for mass= m_{2}.We know, F = ma

Using this relation:

5 = m

_{1}×10Or, m

_{1 }= 0.50 kg.Similarly,

5 = m

_{2}×20Or, m

_{2}=0.25 kg.For combine system i.e. M = m

_{1}+m_{2} M = 0.50+0.25=0.75 kg

Now, F= Ma

5=0.75×a

a=6.67 ms

^{-2 }.Hope, this answer helps you.

Best wishes!!

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