A particle moves with a velocity of \(\left(5\hat{i}-3\hat{j}+6\hat{k}\right)\text{m/s}\) under the influence of a constant force \(\vec F = \left(10\hat{i}+10\hat j +20\hat k\right) \text{N} \). The instantaneous power applied to the particle is:
1.
\(200~\text{J/s}\)
2.
\(40~\text{J/s}\)
3.
\(140~\text{J/s}\)
4.
\(170~\text{J/s}\)
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A pump ejects \(12,000~\text{kg}\) of water at a speed of \(4~\text{m/s}\) in \(40~\text{s}.\) The average rate at which the pump is working is:
1. \(0.24~\text{kW}\)
2. \(2.4~\text{W}\)
3. \(2.4~\text{kW}\)
4. \(24~\text{W}\)
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