A vertical spring with stiffness k originally is at rest with no mass attached. Then, a mass M is attached, and the spring rocks back and forth until it is at rest at a new equilibrium position. What is this position in terms of g, M, and k?

The position of the spring in terms of g, m & k is

Explanation:

Stiffness of the spring = k

Mass = m

When a mass m is attached with the spring then spring stretched. in that case the force exerted on the spring is equal to weight of the mass attached.

⇒ Force exerted on the spring F = k x

⇒ m g = k x

⇒

This is the position of the spring in terms of g, m & k.

answer: option c. i.e. electric current flowing “downhill” from the negative electrode to the positive electrode in a battery

explanation:

the water analogy to the circuits define the pipes (water flows) to the electric current. now, we know that the electric current flows from the positive terminal to the circuit (as shown in the diagram attached).

hence, option c is the correct answer.