Question 1: Define the spring constant and explain its significance in Hooke's Law.

Answer: The spring constant is a measure of a spring's stiffness, defined as the force required to stretch or compress the spring by a unit length (N/m). It indicates how much force is needed to produce a certain extension or compression in the spring according to Hooke's Law.

Question 2: What is the mathematical formula for Hooke's Law, including the variables involved?

Answer: F = k × x, where F is the force applied to the spring (in Newtons), k is the spring constant (N/m), and x is the displacement from the equilibrium position (meters).

Question 3: Multiple Choice: Which of the following best describes the spring constant?

Answer: It indicates how much force is needed to stretch or compress a spring per unit length.

Question 4: Fill in the blank: A higher spring constant means the spring is ______ and requires more force to be stretched or compressed.

Answer: stiffer

Question 5: Explain why a metal coil spring has a higher spring constant than a rubber band.

Answer: A metal coil spring is stiffer due to its material properties and design, which resist deformation more strongly, resulting in a higher spring constant. Rubber bands are more elastic and deform easily, so they have a lower spring constant.

Question 6: Describe a simple experiment to determine the spring constant of a spring.

Answer: Attach the spring vertically and hang different known weights from its end. Measure the extension for each weight. Plot the force (weight in Newtons) against the extension (in meters). The spring constant is obtained by dividing the force by the extension (k = F/x). Ensure safety by not exceeding the spring's elastic limit.

Question 7: Analyzing data: A spring stretches 0.05 meters under a force of 2 Newtons. What is the spring constant?

Answer: k = F / x = 2 N / 0.05 m = 40 N/m

Question 8: Which factor does NOT affect the spring constant of a spring?

Answer: Color of the spring

Question 9: Explain how the spring constant influences the energy stored in a spring during compression or extension.

Answer: The energy stored in a spring is given by the formula E = (1/2) k x^2. A higher spring constant means more energy is stored for the same displacement, indicating a stiffer spring can store more elastic potential energy.

Question 10: Describe a real-world application where understanding the spring constant is crucial.

Answer: In designing vehicle suspension systems, the spring constant determines how the vehicle absorbs shocks and provides stability. Proper selection ensures comfort and safety.