A box is put on a scale which is adjusted to read zero , when the box is empty. A stream of pebbles is then poured into the base from a height h above its bottom at a rate of n pebbles/s. Each pebble has a mass m . If the pebbles collide with the box such that they immediately come to rest after…

Question

A box is put on a scale which is adjusted to read zero , when the box is empty. A stream of pebbles is then poured into the base from a height h above its bottom at a rate of n pebbles/s. Each pebble has a mass m . If the pebbles collide with the box such that they immediately come to rest after collision, then the scale reading at time t after the pebbles begin to fill the box is [ neglect piling up of pebbles]

Aicharya · Accepted Answer

Scale reading will be the sum of weight and force due to their impulse

Scale reading =

v \frac{∆ m}{∆ t} + (m n t) g

= \sqrt{2 g h} m n + m n g t

= m n (\sqrt{2 g h} + g t)

A box is put on a scale which is adjusted to read zero , when the box is empty. A stream of pebbles is then…

Solution