Work-Energy Theorem: a Constant Horizontal Pull Acts on a Sled

question 26

Multiple Choice

Work-energy theorem: A constant horizontal pull acts on a sled on a horizontal frictionless ice pond. The sled starts from rest. When the pull acts over a distance x, the sled acquires a speed v and a kinetic energy K. If the same pull instead acts over twice this distance:

• A) The sled's speed will be 2v and its kinetic energy will be 2K.
• B) The sled's speed will be 2v and its kinetic energy will be K .
• C) The sled's speed will be v and its kinetic energy will be 2K.
• D) The sled's speed will be v and its kinetic energy will be K .
• E) The sled's speed will be 4v and its kinetic energy will be 2K.

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Definitions:

Average Variable Costs

The variable cost (e.g., labor, raw materials) per unit of output, calculated by dividing total variable costs by the quantity of output produced.

Average Total Costs

The per unit cost of production, calculated by dividing the total cost of production by the number of units produced.

Total-Cost Curve

A graph that depicts the total cost of producing different quantities of a good or service, considering both fixed and variable costs.

Increasing Rate

Describes a situation where a quantity or metric, such as inflation, interest rates, or population, is growing over time.