Water Is Flowing in a Drainage Channel of Rectangular Cross-Section

question 1

Multiple Choice

Water is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of water is 8.0 m,and the speed of the flow is 2.5 m/s.What is the mass flow rate of the water? The density of water is 1000 kg/m³.

• A)2.0 × 10⁵ kg/s
• B)2.0 × 10³ kg/s
• C)3.0 × 10⁵ kg/s
• D)3.0 × 10³ kg/s
• E)3.0 × 10² kg/s

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Definitions:

Efficient Input Use

Utilization of inputs in a manner that maximizes the output or minimizes the cost under given technology and constraints.

MRTS

The Marginal Rate of Technical Substitution measures the rate at which one input can be substituted for another input in the production process, while keeping output constant.

Pareto Optimality

A distribution of resources where no one can be made better off without causing detriment to at least one other person.

Utilities Possibilities Frontier

A graphical representation that shows the maximum number of goods or services that two countries can produce using their resources efficiently.