Question

Water falls without splashing at a rate of 0.300 L/s from a height of 2.50 m into a 0.530-kg bucket on a scale. If the bucket is originally empty, what does the scale read 4.00 s after water starts to accumulate in it?

Answer 1

`m_(w) = 1.2 kg`

Step-by-step explanation:

Let consider the bucket as a straight cylinder. The scale measure the mass of water contained in the bucket. The mass contained as a function of time is:

`m_(w) = \rho_(w) \cdot \dot V \cdot \Delta t\\m_(w) = (1000 (kg)/(m^(3)))\cdot (0.3 (L)/(s) ) \cdot ((1 m^(3))/(1000 L) ) \cdot (4 s) \\m_(w) = 1.2 kg`