SUMMARY
The elongation of a spring can be calculated using Hooke's Law, represented by the equation F = -kx, where F is the force applied, k is the spring constant (119 N/m), and x is the elongation. To find the force, one must use the weight of the wooden block, which is calculated by multiplying its mass (4.17 kg) by the acceleration due to gravity (approximately 9.81 m/s²). The density of the wooden block (695 kg/m³) is irrelevant to this calculation. Thus, the elongation can be determined by rearranging the equation to x = F/k.
PREREQUISITES
- Understanding of Hooke's Law and its application in spring mechanics.
- Basic knowledge of force calculations, specifically weight (F = mg).
- Familiarity with units of measurement in physics, such as Newtons and kilograms.
- Concept of gravitational acceleration (approximately 9.81 m/s²).
NEXT STEPS
- Learn how to calculate weight using mass and gravitational acceleration.
- Study the principles of Hooke's Law in more detail.
- Explore examples of spring elongation calculations in physics textbooks.
- Investigate the role of density in material properties, although not directly relevant to this problem.
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as educators looking for clear examples of applying Hooke's Law in problem-solving scenarios.