Which of the following is true of two objects of different masses fall...
Two different masses falling freely near the moon’s surface have the same velocities at any instant.
Which of the following is true of two objects of different masses fall...
Understanding Free Fall on the Moon
When two objects of different masses fall freely near the surface of the moon, it's essential to understand how gravity and motion work in this context.
Key Principles of Free Fall
- Uniform Acceleration: On the moon, the acceleration due to gravity is approximately 1.6 m/s², which is much weaker than Earth's 9.8 m/s². However, this gravitational force acts equally on all objects, regardless of mass.
- Newton's Second Law: According to this law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass (F=ma). However, when considering free fall, the force of gravity is the only force acting on the objects.
Why They Have the Same Velocities
- Acceleration is Constant: Both objects, regardless of their masses, experience the same constant acceleration due to the moon's gravity. This means that they will gain speed at the same rate.
- Initial Conditions: If both objects are dropped from the same height at the same time, they will have the same initial velocities (which is zero if dropped). As they fall, they will continue to have the same velocity at any given moment because they accelerate uniformly.
Conclusion
Thus, the correct answer is option 'B': They have the same velocities at any instant. This phenomenon illustrates the fundamental principle that in a vacuum (or near a celestial body like the moon), the mass of an object does not influence its rate of fall. All objects fall at the same rate under gravity when air resistance is negligible.