Question 1: Explain in your own words what Hooke's Law states about the relationship between force and extension in a spring.

Answer: Hooke's Law states that the force applied to a spring is directly proportional to its extension or compression, provided the elastic limit is not exceeded.

Question 1: What is the symbol used for the spring constant in Hooke's Law, and what are its SI units?

Answer: The spring constant is represented by 'k' and its SI units are Newtons per metre (N/m).

Question 2: Describe what happens when a spring is stretched beyond its elastic limit.

Answer: The spring will not return to its original length and may become permanently deformed, losing its elastic properties.

Question 1: A spring has a spring constant of 200 N/m. What force is required to stretch it by 0.05 m?

Answer: F = 200 N/m × 0.05 m = 10 N

Question 2: If a force of 15 N is applied to a spring with a spring constant of 300 N/m, what is the extension of the spring?

Answer: x = F / k = 15 N / 300 N/m = 0.05 m

Question 1: Describe a simple experimental setup to determine the spring constant of a spring.

Answer: Attach the spring vertically, hang known masses from it, measure the extension for each mass, and plot force versus extension to find the spring constant from the gradient.

Question 2: List two safety precautions to consider when performing experiments involving springs under tension.

Answer: Ensure the spring is securely attached to prevent it from snapping; Wear eye protection to guard against possible recoil or snapping.

Question 1: A spring with a spring constant of 150 N/m is stretched with forces of 30 N, 60 N, and 90 N. Calculate the extensions for each force. What pattern do you observe?

Answer: Extensions: 30 N / 150 N/m = 0.2 m; 60 N / 150 N/m = 0.4 m; 90 N / 150 N/m = 0.6 m. The extensions increase proportionally with the applied force.

Question 1: Explain how Hooke's Law is utilised in the design of vehicle suspension systems.

Answer: Spring mechanisms in vehicle suspensions use Hooke's Law to absorb shocks; the force exerted by the springs is proportional to their extension, providing a smooth ride.

Question 2: Identify a day-to-day object that relies on elasticity and explain how Hooke's Law applies.

Answer: A common example is a trampoline; the tension and restoring force of the elastic surface follow Hooke's Law, allowing it to bounce back after being compressed.