Physics based analogy: “Rotate is to Energy as Stop is to ______”. Choose the concept that relates to stopping motion in the same way energy relates to rotation.

Introduction / Context:
This analogy uses basic concepts from physics and daily experience. The pair “Rotate : Energy” suggests that rotation is associated with energy or requires energy to occur. The second part asks what concept is naturally associated with stopping motion, in a way parallel to how energy is associated with rotation. This tests fundamental understanding of rotation, rest, and inertia from school level physics.

Given Data / Assumptions:

• First pair: Rotate and Energy. • Second verb: Stop. • Options: Spin, Break, Inertia, None. • We assume classical mechanics concepts: energy for motion, inertia for resistance to change of state.

Concept / Approach:
When an object rotates, it possesses kinetic energy associated with its motion. More energy is needed to start rotation or change its rotational speed. On the other hand, when an object stops moving and remains at rest, its reluctance to start moving again or to change its state is described by inertia. Inertia is the property of matter that resists changes in motion, both starting and stopping. The pattern can be interpreted as “type of motion : basic physical property or requirement”, so rotate is naturally paired with energy, and stop is naturally paired with inertia.

Step-by-Step Solution:
Step 1: Understand “Rotate : Energy”. Rotation of a body involves angular kinetic energy. You need energy input to cause rotation, and a rotating body stores energy in its motion. Step 2: Consider what governs stopping. According to Newtons first law of motion, a body at rest remains at rest, and a body in motion continues in motion unless acted upon by an external force. The tendency of a body to resist changes in its state of motion is called inertia. Step 3: Examine the options with this in mind. Spin is just another word for rotate, so “Stop : Spin” does not create a meaningful parallel. Break refers to physically damaging or fracturing something, not to the state of rest or the property that maintains rest. Inertia is the property responsible for maintaining the state of rest or motion until an external force acts. None is not an explanatory physical concept. Step 4: Therefore, the concept that parallels stopping in the same way energy parallels rotation is inertia.

Verification / Alternative check:
We can view the analogy as “Motion requires energy; stability of rest or resistance to starting motion is due to inertia.” In other words, to rotate you need energy, and when an object is at rest and does not start moving easily, inertia explains that resistance. No other option among the choices is a basic physics quantity or property associated in this direct conceptual way with stopping or remaining at rest.

Why Other Options Are Wrong:
• Spin: This is another word for rotate and does not match the role that inertia plays for stopping. • Break: This indicates mechanical failure or damage, not a physical principle governing rest or motion. • None: Offers no explanation and obviously cannot form a meaningful analogy.

Common Pitfalls:
Some students are tempted by “Spin” because rotation and spin feel similar, but the pattern in the first pair is not simple synonym. Instead, rotation is connected to its required physical quantity, energy. Keeping this in mind makes it natural to match stop with inertia, the property that maintains or resists changes in motion. Carefully distinguishing between action words and underlying physical concepts helps avoid confusion.

Final Answer:
The correct concept that completes the analogy is Inertia.