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

A force of 5 N gives a mass `m_(1)` , an acceleration of 10 `ms^(-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?

Text Solution

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`m_(1)=(F)/(a_(1))` and `m_(2)=(F)/(a_(2))`
Here , `a_(1)=10 ms^(-2),a_(2)=20 ms^(-2)` and F=5N
Thus ,`m_(1)=(5N)/(10 ms^(-2))` =0.50 kg and
`m_(2)=(5N)/(20 ms^(-1))` =0.25Kg
If the two masses were tied together ,the total mass,m would be
`a=(F)/(m)=(5N)/(0.75 kg)=6.67 ms^(-2)`
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