An empty box of mass 5kg is found to accelerate up at the rate of $\frac{g}{6}$ when a constant force $F$ is applied on it. How much mass (in kg) of sand be filled in it so that the box may accelerate down at the same rate? (g being the acceleration due to gravity).
$F \frac{g}{6}$
?

Question

An empty box of mass 5kg is found to accelerate up at the rate of $\frac{g}{6}$ when a constant force $F$ is applied on it. How much mass (in kg) of sand be filled in it so that the box may accelerate down at the same rate? (g being the acceleration due to gravity).

$F \frac{g}{6}$

?

TestHub · Accepted Answer

Accelerating up: F − 5 g = 6 5 g ​ , so F = 6 35 g ​ Accelerating down with sand: ( 5 + m ) g − F = 6 ( 5 + m ) g ​ Substituting: m g = 6 ( 10 + m ) g ​ 6 m = 10 + m , so m = 2 kg

Physics - NLM Question with Solution | TestHub

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