Question

The weight of any person on the moon is about $1/6$ times that on the earth. He can lift a mass of $15$ $kg$ on the earth. What will be the maximum mass, which can be lifted by the same force applied by the person on the moon?

Answer 1

$Weight=mass\times g$

Since mass of person is constant so the reduction in weight on moon will be due to reduction in value of $g$.

Weight is directly proportional to $g$.

So weight reduced to $1/6$ times mean that $g$ reduced to $1/6$ times.

Force required is nothing but weight of object being lifted.

Since the applied force will be same on moon it means weight is going to be same.That is product of $m$ and $g$ is going to be same.So when $g$ reduces to $1/6$ times , $m$ change oppositely, that is , it becomes $6$ times to keep the product same.

So new mass that can be lifted=$15\times 6=90kg$