KE, Mass, and Speed Check for Understanding
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Question
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The state transportation department is planning on building a new highway. The area near where they want to build the highway has a danger of falling rocks. The department is researching how big the rocks are, how fast they fall, and their kinetic energy. They are trying to determine if the risk of injury to cars is greater than the convenience the highway would offer travelers.

A 2.0-kg rock falls from a cliff and increases in speed as it falls. The graph below shows how the kinetic energy of the rock changes with speed. Determine the relationship between speed and kinetic energy by comparing the values at several points on the graph.



Based on this relationship, what is the kinetic energy of the rock at a speed of 10 m/s?

Responses

36 J
36 J

44 J
44 J

80 J
80 J

100 J
100 J