Question

Difficulty: MediumNewton's First Law (Inertia)

An astronaut is performing maintenance outside a space station in deep space, far from any significant gravitational fields. The astronaut and a heavy metal wrench are both drifting together in a straight line at a constant velocity of 0.5 m/s0.5\text{ m/s} relative to the station. If the astronaut simply lets go of the wrench without pushing it, which of the following best describes the resulting motion of the wrench?

  1. It will continue moving in the exact same direction at 0.5 m/s0.5\text{ m/s}, as its inertia maintains its state of constant velocity.Answer
  2. B
    It will rapidly decelerate and come to a complete stop, because the active force from the astronaut is no longer pushing it forward.
  3. C
    It will immediately begin falling downward away from the astronaut, as the heavy weight of the metal causes it to drop when no longer supported.
  4. D
    It will shoot forward at a faster speed than the astronaut, because its smaller mass requires less force to accelerate.

Answer

The wrench will continue moving in the exact same direction at 0.5 m/s0.5\text{ m/s}, as its inertia maintains its state of constant velocity.
According to Newton's First Law of Motion, an object will remain in its current state of uniform motion unless acted upon by an external, unbalanced force. Since the wrench is released in a frictionless vacuum with no significant gravity, there are zero external forces acting on it. Therefore, its intrinsic inertia dictates that it will continue traveling indefinitely at its initial constant velocity.

Step-by-Step Solution

1
Analyze the forces acting on the wrench immediately after release.
In deep space, there is no air friction and no significant gravitational pull. Therefore, the net force acting on the released wrench is zero.
Newton's First Law requires us to evaluate the net forces acting on an object to predict its motion.
2
Apply Newton's First Law (Inertia) to the object's initial state.
Before being released, the wrench was traveling at a constant velocity of 0.5 m/s0.5\text{ m/s}. Because the net force is zero, the wrench must maintain this exact same state of motion.
An object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force.

Key Concept

Newton's First Law (Inertia)
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