Question 1: The spring constant, denoted by 'k', measures the stiffness of a spring. It indicates how much force is needed to stretch or compress the spring by a unit length. A higher value of 'k' means a stiffer spring.

Answer: The spring constant 'k' measures the stiffness of a spring, indicating how much force is needed to stretch or compress it by a unit length.

Question 2: Explain why understanding the spring constant is important in designing mechanical systems like car suspensions or measuring devices.

Answer: Knowing the spring constant helps engineers select appropriate springs to ensure safety, functionality, and comfort in mechanical systems and measuring devices.

Question 1: A spring with a spring constant of 200 N/m is stretched by 0.05 meters. What is the force applied to the spring?

Answer: F = 200 N/m × 0.05 m = 10 N

Question 2: If a force of 15 N stretches a spring by 0.02 meters, what is the spring constant?

Answer: k = 15 N ÷ 0.02 m = 750 N/m

Question 1: List three variables that can affect the measurements in a spring extension experiment.

Answer: Variables include the mass added, the spring's material and quality, and external factors like temperature.

Question 2: State two safety precautions to consider when conducting experiments involving springs and weights.

Answer: Ensure weights are securely attached to prevent falling, and do not overload the spring beyond its elastic limit.

Question 1: A spring with a spring constant of 300 N/m is stretched by forces of 60 N, 90 N, and 120 N, resulting in extensions of 0.2 m, 0.3 m, and 0.4 m respectively. Does the data support Hooke's Law? Explain your reasoning.

Answer: Yes, the data supports Hooke's Law because the extension is directly proportional to the applied force, with the ratio F/x remaining constant at 300 N/m.

Question 2: Based on the data, what would be the expected extension if a force of 150 N is applied to the same spring?

Answer: x = F ÷ k = 150 N ÷ 300 N/m = 0.5 meters

Question 1: Describe how the concept of the spring constant is applied in designing a vehicle's suspension system.

Answer: The spring constant determines the stiffness of suspension springs; a suitable k ensures comfort and safety by absorbing shocks effectively.

Question 2: Explain why engineers need to know the spring constant when designing measuring instruments like force gauges.

Answer: Engineers use the spring constant to calibrate force gauges accurately, ensuring precise measurements of force in various applications.