Question

Sand is poured at a constant rate of 75.5 g/s into a 0.540-kg bucket resting on a scale. If sand is landing in the bucket with a speed of 3.70 m/s, determine the scale reading when there is 0.550 kg of sand in the bucket.

Answer 1

Answer:10.961 N

Step-by-step explanation:

Given

mass flow rate in bucket is
`\dot{m}=75.5 g/s`

mass of bucket
`m=0.540 kg`

velocity of sand
`v=3.70 m/s`

Force acting on bucket due to incoming of sand is given by

`F=\frac{\mathrm{d} m}{\mathrm{d} t}v`

`F=75.5* 10^(-3)* 3.7=279.35* 10^(-3) N`

Now weight of sand and bucket when 0.55 kg sand is Present in bucket

`W_1=(0.54+0.55)* 9.8`

`W_1=1.09* 9.8=10.68 N`

Total reading on scale will be addition of weight and force acting by incoming sand

`Reading =10.68+0.279=10.961 N`