Exploring the Relationship Between Force and Displacement in a Spring
How is force related to the displacement of a spring?
What is the formula that represents this relationship?
Answer:
The force applied to a spring is directly proportional to its displacement. This relationship is given by the formula:
Formula: F = -kx
Where:
- F is the force applied to the spring
- k is the spring constant (300 N/m in this case)
- x is the displacement of the spring
By substituting the given values into the formula, we can calculate the force in the spring when it is stretched by 0.25 m:
F = -300 * 0.25
F = -75 N
Therefore, the force in the spring when stretched by 0.25 m is 75 N.