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Answer :
Final answer:
The energy required to extend the pen can be calculated using the formula E = 0.5 * k * x^2, where E is the energy, k is the spring constant, and x is the distance the spring is compressed. Substituting the given values into the formula gives a result of 0.002 J.
Explanation:
To calculate the energy required to extend the pen, we need to determine the amount of additional compression of the spring. The spring constant is given as 280 N/m and the original compression is 1.0 mm. When you click the button to extend the pen, the spring is compressed by an additional 5.0 mm.
To calculate the energy, we use the formula:
E = 0.5 * k * x^2
Where E is the energy, k is the spring constant, and x is the distance the spring is compressed from its equilibrium position.
Substituting the given values into the formula:
- E = 0.5 * 280 N/m * (0.006 m)^2
- E = 0.002016 J
Therefore, the amount of energy required to extend the pen is 0.002 J.
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Rewritten by : Brahmana