Question 1: Define Hooke's Law in your own words.

Answer: Hooke's Law states that the force needed to extend or compress a spring is directly proportional to the distance it is stretched or compressed, provided the elastic limit is not exceeded.

Question 2: What is the formula that represents Hooke's Law?

Answer: F = k × x

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

Answer: F = 200 N/m × 0.05 m = 10 N

Question 2: If a force of 15 N is applied to a spring and the spring stretches by 0.075 meters, what is the spring constant?

Answer: k = F / x = 15 N / 0.075 m = 200 N/m

Question 1: Describe a simple experiment to verify Hooke's Law using a spring. Include variables to control and measure, and mention any safety precautions.

Answer: An experiment can be set up by hanging a spring from a fixed support and attaching weights to it. Measure the extension of the spring with different known weights. Variables to control include the temperature and the type of spring. Measure the force as weight (mass × gravity) and the extension with a ruler. Safety precautions involve ensuring the spring and weights are securely attached to prevent accidents and avoiding excessive weights that could deform or break the spring.

Question 1: A spring with a spring constant of 150 N/m is stretched with a force of 45 N. What is the extension of the spring? Explain what this extension indicates about the spring's behavior.

Answer: x = F / k = 45 N / 150 N/m = 0.3 meters. This extension indicates that the spring obeys Hooke's Law within this range, showing a proportional relationship between force and extension.

Question 2: In a scenario where doubling the force results in doubling the extension, what does this suggest about the properties of the spring?

Answer: It suggests that the spring is behaving elastically and follows Hooke's Law within the range of forces applied.

Question 1: Provide an example of how Hooke's Law is used in everyday life or industry. Explain the importance of the law in that context.

Answer: Hooke's Law is used in designing vehicle suspensions, where springs absorb shocks from the road. It ensures a smooth ride by providing predictable and proportional resistance to compression and extension. This application is crucial for safety and comfort.