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A force of 5 N gives a mass m(1), an acc...

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 `ms^(-2)`. What acceleration would it give if both the masses were tied together ?

Text Solution

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From Eq. we have `m_(1) = F//a_(1): and m_(2) = F//a_(2)`
Here, `a_(1) = 10 ms^(-2), a_(2) = 20 m^(-2) and F = 5N`
Thus, `m_(1) = 5N//10 ms^(-2) = 0.50kg`: and
`m_(2) = 5N//20 ms^(-2) = 0.25 `kg.
IF the two masses were tied together, the total mass, m would be
`m = 0.50 kg + 0.25kg = 0.75`kg.
The acceleration , a produced in the combined mass by the 5 N force would be, `a = F//m = 5N//0.75kg = -6.67 ms^(-2)`
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