Multiple Choice
What type of energy can be stored until it is needed to do work?
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9. Work & Energy
Intro to Energy & Kinetic Energy
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When is an object's kinetic energy at its maximum?
A
When the object is accelerating.
B
When the object is moving at its highest speed.
C
When the object is at rest.
D
When the object is at its highest point in a trajectory.
Verified step by step guidance1
Understand the concept of kinetic energy: Kinetic energy is the energy that an object possesses due to its motion. It is given by the formula: , where is the mass of the object and is its velocity.
Identify the relationship between velocity and kinetic energy: Since kinetic energy depends on the square of the velocity, it increases as the velocity increases. Therefore, the kinetic energy is at its maximum when the velocity is at its maximum.
Consider the scenarios provided: Analyze each scenario to determine when the velocity is at its maximum. An object at rest has zero velocity, thus zero kinetic energy. An object at its highest point in a trajectory typically has zero vertical velocity if the motion is vertical, thus not maximum kinetic energy.
Evaluate the scenario of an object accelerating: While acceleration indicates a change in velocity, it does not necessarily mean the object is at its maximum speed. Maximum kinetic energy occurs at maximum speed, not necessarily during acceleration.
Conclude with the correct scenario: The object's kinetic energy is at its maximum when it is moving at its highest speed, as this is when the velocity, and thus the kinetic energy, is greatest.
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