A force produces an acceleration 16 ms^(-2) in a mass 0.5 kg and an acceleration 4 ms^(-2) in an unknown mass…

Q: A force produces an acceleration 16 ms^(-2) in a mass 0.5 kg and an acceleration 4 ms^(-2) in an unknown mass when applied separately. If both the masses are tied together, what will be the acceleration under same force ?

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Sol: Force F = ma = 0.5 × 16 = 8 N

When both masses are joined and same force acts, acceleration is given by

$\large a’ = \frac{F}{m + m’}$

$\large a’ = \frac{8}{0.5 + 8/4}$

= 3.2 m/s2