It seems like you're asking for help with a question related to changes in kinetic energy, possibly for a physics class or homework. Without the specific details of "quick check question 3," I can provide a general overview of how to approach problems involving kinetic energy changes.
Kinetic Energy Overview:
The kinetic energy (KE) of an object is given by the formula:
\[ KE = \frac{1}{2} mv^2 \]
Where:
- \( KE \) = kinetic energy
- \( m \) = mass of the object
- \( v \) = velocity of the object
Predicting Changes in Kinetic Energy:
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Change in Mass: If the mass of an object increases while keeping velocity constant, kinetic energy will increase proportionally. If the mass decreases, kinetic energy will decrease.
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Change in Velocity: Because velocity is squared in the kinetic energy formula, even a small change in velocity will result in a larger change in kinetic energy.
- If velocity increases, kinetic energy increases significantly.
- If velocity decreases, kinetic energy decreases significantly.
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Understanding the Process: If a force is applied to an object (like a push), it can change the object's velocity. This change in velocity will alter the object's kinetic energy.
Example Prediction:
- If a car (mass \( m \)) is moving at a speed of 10 m/s and its speed increases to 20 m/s, the change in kinetic energy can be calculated as:
\[ KE_{initial} = \frac{1}{2} m (10)^2 = 50m \] \[ KE_{final} = \frac{1}{2} m (20)^2 = 200m \]
The change in kinetic energy is:
\[ \Delta KE = KE_{final} - KE_{initial} = 200m - 50m = 150m \]
If you provide the specific details or context of "quick check question 3," I can offer a more tailored response or walk you through the exact problem!
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