Question 1: Hooke's Law states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position, provided the elastic limit is not exceeded. Write this law as a mathematical formula.

Answer: F = -k x

Question 2: What does the constant 'k' represent in Hooke's Law?

Answer: Spring constant or stiffness of the spring

Question 3: Describe what happens to the elastic force when the displacement of the spring increases.

Answer: The elastic force increases proportionally with displacement

Question 1: A spring with a spring constant of 200 N/m is compressed by 0.05 meters. Calculate the elastic force exerted by the spring.

Answer: F = 10 N

Question 2: If a force of 50 N stretches a spring, and the spring stretches by 0.25 meters, what is the spring constant 'k'?

Answer: k = 200 N/m

Question 3: A spring is stretched by 0.1 meters and exerts a force of 15 N. What is the spring constant?

Answer: k = 150 N/m

Question 1: Describe a simple experiment to verify Hooke's Law using a spring, a ruler, and weights. Include the variables you would control and measure.

Answer: Students can hang different known weights on the spring and measure the amount of stretch each weight causes using a ruler. The controlled variables include the spring used and environmental conditions. The measured variable is the displacement of the spring. Plotting force versus displacement should yield a straight line if Hooke's Law applies.

Question 2: Identify two safety precautions students should follow when conducting experiments involving springs and weights.

Answer: Ensure the spring is securely attached to prevent it from snapping back, and avoid over-stretching the spring beyond its elastic limit to prevent permanent deformation or breakage.

Question 1: A metal coil spring in a car's suspension system is compressed by 0.02 meters under a force of 4000 N. What is the spring constant of this coil?

Answer: k = 200,000 N/m

Question 2: Explain how understanding Hooke's Law is important for designing safe and effective shock absorbers in vehicles.

Answer: Engineers use Hooke's Law to select springs with appropriate spring constants that can absorb shocks without failing or causing discomfort. Proper understanding ensures the shock absorber provides the right amount of resistance, improving ride comfort and safety by controlling vehicle oscillations.

Question 3: In everyday life, give an example of a device or object that relies on Hooke's Law to function properly.

Answer: A mechanical watch's mainspring or a trampoline spring.