Question

Difficulty: MediumNewton's First Law (Inertia)

Based on Newton's First Law of Motion (Inertia), how does each object behave in its respective environment? Match each physical scenario on the left with the correct description of its resulting motion or behavior on the right.

  • A deactivated deep-space satellite drifting far from any gravitational fields or atmospheric dragMaintains a constant speed and trajectory indefinitely without requiring any active propulsion
  • An unbelted astronaut inside a spacecraft that abruptly fires its lateral thrusters to veer sharply leftContinues on its original forward path, resulting in an apparent shift to the right relative to the cabin walls
  • A water droplet detaching from the outer edge of a rapidly spinning centrifuge bladeFlies off in a straight tangent line rather than continuing to travel in a curved path
  • A massive, stationary 5,000 kg granite block sitting on a perfectly frictionless frozen surfaceExhibits extreme resistance to being put into motion despite the complete absence of opposing friction

Answer

The satellite matches with maintaining a constant trajectory (no net force); the astronaut matches with shifting right relative to the cabin (inertia of direction); the water droplet matches with flying off in a straight tangent line (removal of centripetal force); and the granite block matches with exhibiting extreme resistance to motion (high mass means high inertia).
Each correct pairing directly applies Newton's First Law (Inertia) to distinct physical environments. Objects free of external forces (the satellite) travel at constant velocity. Objects in accelerating reference frames (the turning spacecraft) appear to move opposite the acceleration because they maintain their straight-line inertia. Objects released from circular paths (the droplet) travel straight tangentially. Finally, massive objects (the granite block) inherently resist acceleration due to their large mass, which is completely independent of surface friction.

Step-by-Step Solution

1
Analyze the deep-space satellite scenario.
It experiences zero net external forces (no gravity, no drag).
According to the First Law, an object with no net force acting upon it will maintain a constant velocity (speed and direction) indefinitely.
2
Analyze the astronaut in the turning spacecraft.
The spacecraft accelerates to the left, but no lateral force acts directly on the unbelted astronaut.
The astronaut's inertia keeps them moving in their original straight line, making them appear to 'fall' toward the right wall of the turning ship.
3
Analyze the detaching water droplet.
The physical connection providing inward (centripetal) force is broken.
Without a net force pulling it into a curve, the droplet obeys inertia and continues in a straight line tangent to its path.
4
Analyze the stationary granite block on a frictionless surface.
Friction is zero, but the object's mass is extremely high.
Mass is the physical measure of inertia; greater mass means greater intrinsic resistance to acceleration, regardless of friction.

Key Concept

Inertia is the inherent tendency of an object to resist changes to its state of motion or rest. This resistance is directly proportional to the object's mass and dictates that an object will maintain a constant velocity unless acted upon by a net external force.
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