Question 1:

What does Hooke's Law state?

Explanation: The correct answer is B) The force required to stretch or compress a spring is directly proportional to the displacement from its equilibrium position. Hooke's Law states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position. This relationship holds as long as the spring is not stretched beyond its elastic limit.

Question 2:

What is the formula for the restoring force in a spring-mass system undergoing simple harmonic motion?

Explanation: The correct answer is C) F = -kx. In a spring-mass system undergoing simple harmonic motion, the restoring force is given by Hooke's Law, which states that the force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction. The negative sign (-) indicates that the force is directed towards the equilibrium position.

Question 3:

What is the value of the spring constant (k) in Hooke's Law?

Explanation: The correct answer is D) The stiffness of the spring. The spring constant (k) in Hooke's Law represents the stiffness of the spring. It determines how much force is required to stretch or compress the spring by a given displacement. A higher spring constant indicates a stiffer spring that requires more force to deform.

Question 4:

What happens to the restoring force in a spring-mass system if the spring constant (k) is increased?

Explanation: The correct answer is B) The restoring force increases. In a spring-mass system, if the spring constant (k) is increased, the restoring force exerted by the spring also increases. Hooke's Law states that the force is directly proportional to the displacement and the spring constant. Therefore, a higher spring constant results in a stronger restoring force.

Question 5:

At the equilibrium position in a spring-mass system, the restoring force is:

Explanation: The correct answer is C) Zero. At the equilibrium position in a spring-mass system, the displacement from the equilibrium is zero. According to Hooke's Law, the restoring force is directly proportional to the displacement. Therefore, when the displacement is zero, the restoring force becomes zero as well.