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

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?

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Ben Gia 4 years 2021-08-30T16:32:40+00:00 1 Answers 14 views 0

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  1. taiduc
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    2021-08-30T16:34:30+00:00
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    Answer:

    m_{w} = 1.2 kg

    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 \frac{kg}{m^{3}})\cdot (0.3 \frac{L}{s} ) \cdot (\frac{1 m^{3}}{1000 L} ) \cdot (4 s) \\m_{w} = 1.2 kg

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