Two bodies whose masses are `m_(1) =50kg` and `m_(2) =150kg` are tied by a light string and are placed on a frictionless horizontal surface When `m_(1)` is pulled by force `F` an acceleration of `5ms^(-2)` is produced in both the bodies Calculate the value of `F` What is the tension in the string `1` ?

Answer

`1000N, 750N` .

Explanation

Here, `m_(1) = 50 kg , m_(2) = 150 kg`
force appled `F =` ?
Tension in the string `T =` ?
Acceleration in both the bodies
`a = 5 ms^(-2)`
`:. F = (m_(1) + m_(2)) a = (50 + 150) 5`
`=1000 N`
Also `T =m_(2) a = 150 xx 5 = 750 N`
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